{"id":93,"date":"2021-01-25T00:58:01","date_gmt":"2021-01-25T00:58:01","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/?post_type=chapter&#038;p=93"},"modified":"2021-01-25T00:58:01","modified_gmt":"2021-01-25T00:58:01","slug":"8-data-using-graphs-and-visual-data","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/chapter\/8-data-using-graphs-and-visual-data\/","title":{"raw":"8. Data: Using Graphs and Visual Data","rendered":"8. Data: Using Graphs and Visual Data"},"content":{"raw":"<div class=\"article-introduction\">\r\n\r\nFlip through any scientific journal or textbook and you'll notice quickly that the text is interspersed with graphs and figures. In some journals, as much as 30% of the space is taken up by graphs (Cleveland, 1984), perhaps surpassing the adage that \"a picture is worth a thousand words.\" Although many magazines and newspapers also include graphs, the visual depiction of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> is fundamental to science and represents something very different from the photographs and illustrations published in magazines and newspapers. Although numerical data are initially compiled in tables or databases, they are often displayed in a graphic form to help scientists visualize and interpret the variation, patterns, and trends within the data.\r\n\r\nData lie at the heart of any scientific endeavor. Scientists in different fields collect <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> in many different forms, from the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/magnitude\/pop\">magnitude<\/a> and location of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/earthquake\/pop\">earthquakes<\/a>, to the length of finch beaks, to the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentration<\/a> of carbon dioxide in the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/atmosphere\/pop\">atmosphere<\/a> and so on. Visual representations of scientific data have been used for centuries \u2013 in the 1500s, for example, Copernicus drew schematic sketches of planetary orbits around the sun \u2013 but the visual presentation of numerical data in the form of graphs is a more recent development.\r\n\r\n<\/div>\r\n<section id=\"toc_1\" class=\"article-section\">\r\n<h2>Using graphs to present numerical data<\/h2>\r\nIn 1786, William Playfair, a Scottish economist, published <em>The Commercial and Political Atlas<\/em>, which contained a variety of economic <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/statistic\/pop\">statistics<\/a> presented in graphs. Among these was the image shown in Figure 1, a graph comparing exports from England with imports into England from Denmark and Norway from 1708 to 1780 (Playfair, 1786). (Incidentally, William Playfair was the brother of John Playfair, the geologist who elucidated <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Hutton%2C+James\/pop\">James Hutton<\/a>'s fundamental work on geological processes to the broader public. To learn more, see our module <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=128\">The Rock Cycle: Uniformitarianism and Recycling<\/a>.)\r\n<figure><a title=\"William Playfair's graph\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4108.png\"> <img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4108-081104021106.jpg\" alt=\"William Playfair's graph\" \/> <\/a><figcaption>Figure 1: William Playfair's graph was one of the first examples of the visual representation of numerical data.<\/figcaption><\/figure>\r\nPlayfair's graph displayed a powerful message very succinctly. The graph shows time on the horizontal (x) axis and money in English pounds on the vertical (y) axis. The yellow line shows the monetary <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/value\/pop\">value<\/a> of imports to England from Denmark and Norway; the red line shows the monetary value of exports to Denmark and Norway from England. Although a table of numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> would show the same information, it would not be immediately apparent that something important happened in about 1753: England began exporting more than it imported, placing the \"balance in favour of England.\" This simple visualization of a large numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">dataset<\/a> made it easy to comprehend quickly.\r\n\r\nGraphs and figures quickly became standard components of science and scientific communication, and the use of graphs has increased dramatically in scientific journals in recent years, almost doubling from an <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/average\/pop\">average<\/a> of 35 graphs per journal issue to more than 60 between 1985 and 1994 (Zacks et al., 2002). This increase has been attributed to a number of causes, including the use of computer software programs that make producing graphs easy, as well as the production of increasingly large and complex <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a> that require visualization to be interpreted.\r\n\r\nGraphs are not the only form of visualized <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>, however \u2013 maps, satellite imagery, animations, and more specialized images like atomic orbital depictions are also composed of data, and have also become more common. Creating, using, and reading visual forms of data is just one type of data <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a> (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=154\">Data Analysis and Interpretation<\/a> module), but it is ubiquitous throughout all fields and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/method\/pop\">methods<\/a> of scientific investigation.\r\n<div class=\"comprehension-checkpoint\">\r\n<p class=\"leader\">Comprehension Checkpoint<\/p>\r\n<p class=\"question\">Representing data graphically<\/p>\r\n\r\n<form class=\"question\" name=\"cc5761\">\r\n<ul class=\"quiz-options\">\r\n \t<li class=\"option-a\"><label class=\"choice\" for=\"q1-5761-0-option-a\">means taking a photograph.<\/label><\/li>\r\n \t<li class=\"option-b\"><label class=\"choice\" for=\"q1-5761-1-option-b\">makes it easier to interpret complex datasets.<\/label><\/li>\r\n<\/ul>\r\n<\/form><\/div>\r\n<\/section><section id=\"toc_2\" class=\"article-section\">\r\n<h2>Interpreting graphs<\/h2>\r\nThe majority of graphs published in scientific journals relate two <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a>. As many as 85% of graphs published in the journal <em>Science<\/em>, in fact, show the relationship between two variables, one on the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/x~axis\/pop\">x-axis<\/a> and another on the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/y~axis\/pop\">y-axis<\/a> (Cleveland, 1984). Although many other kinds of graphs exist, knowing how to fully interpret a two-variable graph can not only help anyone decipher the vast majority of graphs in the scientific literature but also offers a starting point for examining more complex graphs. As an example, imagine trying to identify any long-term trends in the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> table that follows of atmospheric carbon dioxide <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> taken over several years at Mauna Loa (Table 1; click on the excerpt below to see the complete data table).\r\n<figure><a title=\"data table\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_2555.png\"> <img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-2555-031201071214.gif\" alt=\"data table\" \/> <\/a><figcaption><b>Table 1:<\/b> This is a small portion of a data table containing atmospheric carbon dioxide concentrations measured at Mauna Loa - click on it to see the full table. Download the data from the <a href=\"http:\/\/cdiac.ornl.gov\/trends\/co2\/sio-mlo.html\">CDIAC<\/a> (Carbon Dioxide Information Analysis Center).<\/figcaption><\/figure>\r\nThe <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> are straightforward \u2013 time in months in the top row of the table, years in the far left column of the table, and carbon dioxide (CO<sub>2<\/sub>) <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> within the individual table <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/cell\/pop\">cells<\/a>. Yet, it is challenging for most people to make sense of that much numerical information. You would have to look carefully at the entire table to see any trends. But if we take the exact same <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> and plot it on a graph, this is what it looks like (Figure 2):\r\n<figure><a title=\"Carbon dioxide concentration\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4109.png\"> <img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4109-081104021109.jpg\" alt=\"Carbon dioxide concentration\" \/> <\/a><figcaption>Figure 2: Data plotted from Table 1, atmospheric CO<sub>2<\/sub> measured at Mauna Loa (Keeling &amp; Whorf, 2005).<\/figcaption><\/figure>\r\nReading a graph involves the following steps:\r\n<blockquote><b>Describing the graph:<\/b> The x-axis shows the variable of time in units of years, and the y-axis shows the range of the variable of CO<sub>2<\/sub> concentration in units of parts per million (ppm). The dots are individual measurements of concentrations \u2013 the numbers shown in Table 1. Thus, the graph is showing us the change in atmospheric CO<sub>2<\/sub> concentrations over time.<\/blockquote>\r\n<blockquote><b>Describing the data and trends:<\/b> The line connects consecutive measurements, making it easier to see both the short- and long-term trends within the data. On the graph, it is easy to see that the concentration of atmospheric CO<sub>2<\/sub> steadily rose over time, from a low of about 315 ppm in 1958 to a current level of about 375 ppm. Within that long-term trend, it's also easy to see that there are short-term, annual cycles of about 5 ppm.<\/blockquote>\r\n<blockquote><b>Making interpretations: <\/b>On the graph, scientists can derive additional information from the numerical data, such as how fast CO<sub>2<\/sub> concentration is rising. This rate can be determined by calculating the slope of the long-term trend in the numerical data, and seeing this rate on a graph makes it easily apparent. While a keen observer may have been able to pick out of the table the increase in CO<sub>2<\/sub> concentrations over the five decades provided, it would be difficult for even a highly trained scientist to note the yearly cycling in atmospheric CO<sub>2<\/sub> in the numerical data \u2013 a feature elegantly demonstrated in the sawtooth pattern of the line.<\/blockquote>\r\nPutting <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> into a visual format is one step in data <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a>, and well-designed graphs can help scientists interpret their data. Interpretation involves explaining why there is a long-term rise in atmospheric CO<sub>2<\/sub> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> on top of an annual fluctuation, thus moving beyond the graph itself to put the data into context. Seeing the regular and repeating cycle of about 5 ppm, scientists realized that this fluctuation must be related to natural changes on the planet due to seasonal plant activity. Visual representation of these data also helped scientists to realize that the increase in CO<sub>2<\/sub> concentrations over the five decades shown occurs in parallel with the industrial revolution and thus are almost certainly related to the growing number of human activities that release CO<sub>2<\/sub> (IPCC, 2007).\r\n\r\nIt is important to note that neither one of these trends (the long-term rise or the annual cycling) nor the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a> can be seen in a single measurement or <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> point. That's one reason why you almost never hear scientists use the singular of the word data \u2013 datum. Imagine just one point on a graph. You could draw a trend line going through it in any direction. Rigorous scientific practice requires multiple data points to make a clear interpretation, and a graph can be critical not only in showing the data themselves, but in demonstrating on how much data a scientist is basing his or her interpretation.\r\n\r\nWe just followed a short, logical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/process\/pop\">process<\/a> to extract a lot of information from this graph. Although an <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/infinite\/pop\">infinite<\/a> variety of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> can appear in graphical form, this same procedure can apply when reading any kind of graph. To reiterate:\r\n<ol>\r\n \t<li><b>Describe the graph:<\/b> What does the title say? What <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variable<\/a> is represented on the x-axis? What is on the y-axis? What are the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/unit\/pop\">units<\/a> of measurement? What do the symbols and colors mean?<\/li>\r\n \t<li><b>Describe the data:<\/b> What is the numerical range of the data? What kinds of patterns can you see in the distribution of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> as they are plotted?<\/li>\r\n \t<li><b>Interpret the data:<\/b> How do the patterns you see in the graph relate to other things you know?<\/li>\r\n<\/ol>\r\nThe same questions apply whether you are looking at a graph of two <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> or something more complex. Because creating graphs is a form of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a>, it is important to scrutinize a scientist's graphs as much as his or her written interpretation.\r\n<div class=\"comprehension-checkpoint\">\r\n<p class=\"leader\">Comprehension Checkpoint<\/p>\r\n<p class=\"question\">Graphs are important because they<\/p>\r\n\r\n<form class=\"question\" name=\"cc5765\">\r\n<ul class=\"quiz-options\">\r\n \t<li class=\"option-a\"><label class=\"choice\" for=\"q1-5765-0-option-a\">can make trends and patterns in the data clear.<\/label><\/li>\r\n \t<li class=\"option-b\"><label class=\"choice\" for=\"q1-5765-1-option-b\">show one piece of data clearly.<\/label><\/li>\r\n<\/ul>\r\n<\/form><\/div>\r\n<\/section><section id=\"toc_3\" class=\"article-section\">\r\n<h2>Error and uncertainty estimation in visual data<\/h2>\r\nGraphs and other visual representations of scientific information also commonly contain another key element of scientific <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> \u2013 a measure of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/uncertainty\/pop\">uncertainty<\/a> or error within measurements (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=157\">Uncertainty, Error, and Confidence<\/a> module). For example, the graph in Figure 3 presents <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/mean\/pop\">mean<\/a> measurements of mercury emissions from <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/soil\/pop\">soil<\/a> at various times over the course of a single day. The error bars on each vertical bar provide the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/standard+deviation\/pop\">standard deviation<\/a> of each measurement. These error bars are included to demonstrate that the change in emissions with time are greater than the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/inherent\/pop\">inherent<\/a> variability within each measurement (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=155\">Statistics in Science<\/a> module for more information).\r\n<figure><img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4110-081104021111.jpg\" alt=\"Error bars\" \/><figcaption>Figure 3: Error bars within this graphical display of data are used to demonstrate that the change in measurement value (red bars) with time is greater than the inherent variability within the data (shown as black error bars). Adapted from Carpi et al. (2007).<\/figcaption><\/figure>\r\nGraphical displays of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> can also be used not just to display error, but to <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/quantify\/pop\">quantify<\/a> error and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/uncertainty\/pop\">uncertainty<\/a> in a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/system\/pop\">system<\/a>. For example, Figure 4 shows a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/gas\/pop\">gas<\/a> chromatograph of a fuel oil spill. Peaks in the chromatograph (the blue line) provide information about the chemicals identified in the spill, and the peak size can provide an estimate of the relative <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentration<\/a> of that specific chemical in the spill. However, before this information can be extracted from the graph, instrument error and uncertainty must be calculated (the red line) and subtracted from the peak area. As you can see in Figure 4, instrument variability decreases as you move from left to right in the graph, and in this case, the graphical display of the error is therefore critical to accurate <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> of the data.\r\n<figure><img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4111-081104021115.jpg\" alt=\"graph - error estimation\" \/><figcaption>Figure 4: Graphical displays of data can be used to estimate system error and uncertainty (red line) as well as present this uncertainty. <span class=\"credit\">image \u00a9 Commonwealth of Australia 2006<\/span><\/figcaption><\/figure>\r\n<div class=\"comprehension-checkpoint\">\r\n<p class=\"leader\">Comprehension Checkpoint<\/p>\r\n<p class=\"question\">Graphical displays of data are used to ___________ error.<\/p>\r\n\r\n<form class=\"question\" name=\"cc5766\">\r\n<ul class=\"quiz-options\">\r\n \t<li class=\"option-a\"><label class=\"choice\" for=\"q1-5766-0-option-a\">display and quantify<\/label><\/li>\r\n \t<li class=\"option-b\"><label class=\"choice\" for=\"q1-5766-1-option-b\">conceal or hide<\/label><\/li>\r\n<\/ul>\r\n<\/form><\/div>\r\n<\/section><section id=\"toc_4\" class=\"article-section\">\r\n<h2>Misuse of scientific images<\/h2>\r\nPoor use of graphics can highlight trends that don't really exist, or can make real trends disappear. Some have tried to point out errors with the now widely accepted notion of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/climate\/pop\">climate<\/a> change by using misleading graphics. Figure 5, below, is one such graphic that has appeared in print. The point drawn by the creator of this is that the bottom graph, which shows relatively little change in temperature over the past 1,000 years, disputes the top graph used by the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Intergovernmental+Panel+on+Climate+Change\/pop\">Intergovernmental Panel on Climate Change<\/a> that shows a recent, rapid temperature increase.\r\n<figure><a title=\"graph - battle of the graphs\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4112.png\"> <img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4112-081104021118.jpg\" alt=\"graph - battle of the graphs\" \/> <\/a><figcaption><strong>Figure 5:<\/strong> Poor use of graphical displays can confuse and obscure data.<\/figcaption><\/figure>\r\nAt first glance the bottom graph does seem to contradict the top graph. However, looking more closely you realize:\r\n<ul class=\"bulleted\">\r\n \t<li>The two graphs actually represent completely different <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a>. The top graph is a representation of change in annual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/mean\/pop\">mean<\/a> global temperature normalized to a 30-year period, 1960-1990, whereas the bottom graph represents <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/average\/pop\">average<\/a> temperatures in Europe compared to an average over the 20th-century.<\/li>\r\n \t<li>In addition, the y-axes of the two graphs are displayed on differing scales \u2013 the bottom graph has more space between the 0.5\u00b0 lines.<\/li>\r\n<\/ul>\r\nBoth of these techniques tend to exaggerate the variability in the lower graph. However, the primary reason for the difference in the graphs is not actually shown in the graphs. The author of the graphic created the image on the bottom using different calculations that did not take into account all of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> that <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/climate\/pop\">climate<\/a> scientists used to create the top graph. In other words, the graphs simply do not show the same <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>.\r\n\r\nThese are common techniques used to distort visual forms of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> \u2013 manipulating axes, changing one of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> in a comparison, changing calculations without full explanation \u2013 that can obscure a true comparison.\r\n\r\n<\/section><section id=\"toc_5\" class=\"article-section\">\r\n<h2>Visualizing spatial and three-dimensional data<\/h2>\r\nThere are other kinds of visual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> aside from graphs. You might think of a topographic map or a satellite image as a picture or a sketch of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/surface\/pop\">surface<\/a> of the earth, but both of these images are ways of visualizing spatial data. A topographic map shows data collected on elevation and the location of geographic features like lakes or mountain peaks (see Figure 6). These data may have been collected in the field by surveyors or by looking at aerial photographs, but nonetheless the map is not a picture of a region \u2013 it is a visual representation of data. The topographic map in Figure 6 is actually accomplishing a second goal beyond simply visualizing data: It is taking three-dimensional data (variations in land elevation) and displaying them in two dimensions on a flat piece of paper.\r\n<figure><img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4113-081104021120.jpg\" alt=\"topographic map - Warren Peak USGS 7.5\u0092\" \/><figcaption>Figure 6: Portion of the Warren Peak USGS 7.5' topographic map. Solid brown lines are elevation contours. This image takes 3-dimensional data on elevation and depicts it in two dimensions.<\/figcaption><\/figure>\r\nLikewise, satellite images are commonly misunderstood to be photographs of the Earth from space, but in reality they are much more complex than that. A satellite records numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> for each pixel, and it does so at certain predefined <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/wavelength\/pop\">wavelengths<\/a> in the electromagnetic <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/spectrum\/pop\">spectrum<\/a> (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=138\">Light II: Electromagnetism<\/a> module for more information). In other words, the image itself is a visualization of data that has been processed from the raw data received from the satellite. For example, the Landsat satellites <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/record\/pop\">record<\/a> data in seven different wavelengths: three in the visible spectrum and four in the infrared wavelengths. The composite image of four of those wavelengths is displayed in the image of a portion of the Colorado Rocky Mountains shown in Figure 7. The large red region in the lower portion of the image is not red vegetation in the mountains; instead, it is a region with high <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/value\/pop\">values<\/a> for emission of infrared (or thermal) wavelengths. In fact, this region was the site of a large forest fire, known as the Hayman Fire, a month prior to the acquisition of the satellite image in July 2002.\r\n<figure><a title=\"Hayman Fire satellite image\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4114.jpg\"> <img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4114-081104021123.jpg\" alt=\"Hayman Fire satellite image\" \/> <\/a><figcaption>Figure 7: July 2002 Landsat satellite image of the Hayman Fire, central Colorado. <span class=\"credit\">image \u00a9 USGS Landsat Project<\/span><\/figcaption><\/figure>\r\n<div class=\"comprehension-checkpoint\">\r\n<p class=\"leader\">Comprehension Checkpoint<\/p>\r\n<p class=\"question\">What do satellite images and topographic maps have in common?<\/p>\r\n\r\n<form class=\"question\" name=\"cc5770\">\r\n<ul class=\"quiz-options\">\r\n \t<li class=\"option-a\"><label class=\"choice\" for=\"q1-5770-0-option-a\">They are visual representations of data.<\/label><\/li>\r\n \t<li class=\"option-b\"><label class=\"choice\" for=\"q1-5770-1-option-b\">They are photographs of a place.<\/label><\/li>\r\n<\/ul>\r\n<\/form><\/div>\r\n<\/section><section id=\"toc_6\" class=\"article-section\">\r\n<h2>Working with image-based data<\/h2>\r\nThe advent of satellite imagery vastly expanded one <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> collection method: extracting data from an image. For example, from a series of satellite images of the Hayman Fire acquired while it was burning, scientists and forest managers were able to extract data about the extent of the fire (which burned deep into National Forest land where it could not be monitored by people on the ground), the rate of spread, and the temperature at which it was burning. By comparing two satellite images, they could find the area that had burned over the course of a day, a week, or a month. Thus, although the images themselves consist of numerical data, additional information can be extracted from these images as a form of data collection.\r\n\r\nAnother example can be taken from the realm of atomic physics. In 1666, Sir <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Isaac+Newton\/pop\">Isaac Newton<\/a> discovered that when <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/light\/pop\">light<\/a> from the sun is passed through a prism, it separates into a characteristic rainbow of light. Almost 200 years after Newton, <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Herschel%2C+John\/pop\">John Herschel<\/a> and W. H. Fox Talbot demonstrated that when substances are heated and the light they give off is passed through a prism, each <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/element\/pop\">element<\/a> gives off a characteristic pattern of bright lines of color, but they did not understand why (see Figure 8). In 1913, the Danish physicist <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Bohr%2C+Niels\/pop\">Niels Bohr<\/a> used these images to make a startling proposal: He suggested that the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/line+spectra\/pop\">line spectra<\/a> of elements were due to the movement of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/electron\/pop\">electrons<\/a> between different orbitals, and thus these spectra could provide information regarding the electron <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/configuration\/pop\">configuration<\/a> of the elements (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=51\">Atomic Theory II: Ions, Isotopes, and Electron Shells<\/a> module for more information). You can actually calculate the potential <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/energy\/pop\">energy<\/a> difference between <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/electron+orbitals\/pop\">electron orbitals<\/a> in <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/atom\/pop\">atoms<\/a> by analyzing the color (and thus wavelength) of light emitted.\r\n<figure><img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-529-021202041202.jpg\" alt=\"spectrum-helium\" \/><\/figure>\r\n<figure><img src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-530-021202041203.gif\" alt=\"spectrum-neon\" \/><figcaption>Figure 8: Line spectra for helium (top) and neon (bottom). The location and color of the lines represents a unique wavelength that defines the electron configuration of the atoms.<\/figcaption><\/figure>\r\nPhotographs and videos are also visual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>. In 2005, a group of scientists based in part at the Cornell Ornithology lab published their findings that a bird believed to be <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/extinction\/pop\">extinct<\/a> in North America, the Ivory-billed Woodpecker, had been spotted in Arkansas (Fitzpatrick et al., 2005). Their primary <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/evidence\/pop\">evidence<\/a> consisted of video footage and photographs of a bird in flight, which they included in their paper along with a detailed <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> of the features of the images and video that suggested that the bird was an Ivory-billed Woodpecker. (You can read the article and see the photographs <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=174\">here<\/a>.)\r\n\r\n<\/section><section id=\"toc_7\" class=\"article-section\">\r\n<h2>Graphs for scientific communication<\/h2>\r\nMany areas of study within science have more specialized graphs used for specific kinds of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>. Evolutionary biologists, for example, use evolutionary trees or <em>cladograms<\/em> to show how <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/species\/pop\">species<\/a> are related to each other, what characteristics they share, and how they evolve over time. Geologists use a type of graph called a <em>stereonet<\/em> that represents the inside of a hemisphere in order to depict the orientation of rock layers in three-dimensional space. Many fields now use three-dimensional graphs to represent three <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a>, though they may not actually represent three-dimensional space.\r\n\r\nRegardless of the exact type of graph, the creation of clear, understandable visualizations of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> is of fundamental importance in all branches of science. In recognition of the critical contribution of visuals to science, the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/National+Science+Foundation\/pop\">National Science Foundation<\/a> and the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/American+Association+for+the+Advancement+of+Science\/pop\">American Association for the Advancement of Science<\/a> sponsor an annual Science and Engineering Visualization Challenge, in which submissions are judged based on their visual impact, effective communication, and originality (NSF, 2007). Likewise, reading and interpreting graphs is a key skill at all levels, from the introductory student to the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/research\/pop\">research<\/a> scientist. Graphs are a key component of scientific research papers, where new data are routinely presented. Presenting the data from which conclusions are drawn allows other scientists the opportunity to analyze the data for themselves, a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/process\/pop\">process<\/a> whose purpose is to keep scientific <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/experiment\/pop\">experiments<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> as objective as possible. Although tables are necessary to <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/record\/pop\">record<\/a> the data, graphs allow readers to visualize complex <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a> in a simple, concise manner.\r\n\r\n<\/section><section id=\"toc-999\" class=\"article-section\">\r\n<h3>Summary<\/h3>\r\nUnderstanding graphs and other visual forms of data is an important skill for scientists. This module describes how to read and interpret graphs and introduces other types of visual data. With a look at various examples, it is clear how trends can be grasped easily when the data is shown in a visual form.\r\n<h3>Key Concepts<\/h3>\r\n<ul class=\"bulleted\">\r\n \t<li>Visual representations of data are essential for both data analysis and interpretation.<\/li>\r\n \t<li>Visualization highlights trends and patterns in numeric datasets that might not otherwise be apparent.<\/li>\r\n \t<li>Understanding and interpreting graphs and other visual forms of data is a critical skill for scientists and students of science.<\/li>\r\n<\/ul>\r\n<\/section><footer>\r\n<ul class=\"indented links\">\r\n \t<li>\r\n<h5>Further Reading<\/h5>\r\n<\/li>\r\n \t<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Uncertainty-Error-and-Confidence\/157\">Uncertainty, Error, and Confidence<\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Statistics-in-Science\/155\">Statistics in Science<\/a><\/li>\r\n \t<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Data-Analysis-and-Interpretation\/154\">Data Analysis and Interpretation<\/a><\/li>\r\n<\/ul>\r\n<a name=\"refs\"><\/a>\r\n<ul class=\"indented list\">\r\n \t<li>\r\n<h5>References<\/h5>\r\n<\/li>\r\n \t<li>Carpi, A., Frei, A., Cocris, D., McCloskey, R., Contreras, E., &amp; Ferguson, K. (2007). Analytical artifacts produced by a polycarbonate chamber compared to a Teflon chamber for measuring surface mercury fluxes. <em>Analytical &amp; Bioanalytical Chemistry, 388<\/em>(2), 361-365.<\/li>\r\n \t<li>Cleveland, W. S. (1984). Graphs in scientific publications. <em>The American Statistician, 38<\/em>(4), 261-269.<\/li>\r\n \t<li>Fitzpatrick, J. W., Lammertink, M., Luneau, M. D., Jr., Gallagher, T. W., Harrison, B. R., Sparling, G. M., . . . Zollner, D. (2005). Ivory-billed woodpecker (Campephilus principalis) persists in continental North America. <em>Science, 308<\/em>(5727), 1460-1462.<\/li>\r\n \t<li>IPCC. (2007). <em>Climate change 2007: The physical science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change<\/em>. New York: Cambridge University Press.<\/li>\r\n \t<li>Keeling, R. F., Piper,S. C., Bollenbacher, A. F., &amp; Walker, J. S. (2008). Atmospheric CO<sub>2<\/sub> records from sites in the SIO air sampling network. <em>In<\/em> Trends: A compendium of data on global change. Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, US Department of Energy, Oak Ridge, TN, USA.<\/li>\r\n \t<li>National Science Foundation. <a href=\"http:\/\/www.nsf.gov\/news\/special_reports\/scivis\/index.jsp?id=challenge\" target=\"_blank\" rel=\"noopener\">Science &amp; engineering visualization challenge<\/a>. Retrieved January 8, 2008.<\/li>\r\n \t<li>Playfair, W. (1786). <em>The commercial and political atlas and statistical breviary.<\/em> London: J. Wallis.<\/li>\r\n \t<li>Zacks, J., Levy, E., Tversky, B., &amp; Schiano, D. (2002). Graphs in print. In M. Anderson, B. Meyer &amp; P. Olivier (Eds.), <em>Diagrammatic representation and reasoning<\/em> (pp. 187-206). Springer.<\/li>\r\n<\/ul>\r\n<\/footer>","rendered":"<div class=\"article-introduction\">\n<p>Flip through any scientific journal or textbook and you&#8217;ll notice quickly that the text is interspersed with graphs and figures. In some journals, as much as 30% of the space is taken up by graphs (Cleveland, 1984), perhaps surpassing the adage that &#8220;a picture is worth a thousand words.&#8221; Although many magazines and newspapers also include graphs, the visual depiction of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> is fundamental to science and represents something very different from the photographs and illustrations published in magazines and newspapers. Although numerical data are initially compiled in tables or databases, they are often displayed in a graphic form to help scientists visualize and interpret the variation, patterns, and trends within the data.<\/p>\n<p>Data lie at the heart of any scientific endeavor. Scientists in different fields collect <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> in many different forms, from the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/magnitude\/pop\">magnitude<\/a> and location of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/earthquake\/pop\">earthquakes<\/a>, to the length of finch beaks, to the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentration<\/a> of carbon dioxide in the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/atmosphere\/pop\">atmosphere<\/a> and so on. Visual representations of scientific data have been used for centuries \u2013 in the 1500s, for example, Copernicus drew schematic sketches of planetary orbits around the sun \u2013 but the visual presentation of numerical data in the form of graphs is a more recent development.<\/p>\n<\/div>\n<section id=\"toc_1\" class=\"article-section\">\n<h2>Using graphs to present numerical data<\/h2>\n<p>In 1786, William Playfair, a Scottish economist, published <em>The Commercial and Political Atlas<\/em>, which contained a variety of economic <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/statistic\/pop\">statistics<\/a> presented in graphs. Among these was the image shown in Figure 1, a graph comparing exports from England with imports into England from Denmark and Norway from 1708 to 1780 (Playfair, 1786). (Incidentally, William Playfair was the brother of John Playfair, the geologist who elucidated <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Hutton%2C+James\/pop\">James Hutton<\/a>&#8216;s fundamental work on geological processes to the broader public. To learn more, see our module <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=128\">The Rock Cycle: Uniformitarianism and Recycling<\/a>.)<\/p>\n<figure><a title=\"William Playfair's graph\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4108.png\"> <img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4108-081104021106.jpg\" alt=\"William Playfair's graph\" \/> <\/a><figcaption>Figure 1: William Playfair&#8217;s graph was one of the first examples of the visual representation of numerical data.<\/figcaption><\/figure>\n<p>Playfair&#8217;s graph displayed a powerful message very succinctly. The graph shows time on the horizontal (x) axis and money in English pounds on the vertical (y) axis. The yellow line shows the monetary <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/value\/pop\">value<\/a> of imports to England from Denmark and Norway; the red line shows the monetary value of exports to Denmark and Norway from England. Although a table of numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> would show the same information, it would not be immediately apparent that something important happened in about 1753: England began exporting more than it imported, placing the &#8220;balance in favour of England.&#8221; This simple visualization of a large numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">dataset<\/a> made it easy to comprehend quickly.<\/p>\n<p>Graphs and figures quickly became standard components of science and scientific communication, and the use of graphs has increased dramatically in scientific journals in recent years, almost doubling from an <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/average\/pop\">average<\/a> of 35 graphs per journal issue to more than 60 between 1985 and 1994 (Zacks et al., 2002). This increase has been attributed to a number of causes, including the use of computer software programs that make producing graphs easy, as well as the production of increasingly large and complex <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a> that require visualization to be interpreted.<\/p>\n<p>Graphs are not the only form of visualized <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>, however \u2013 maps, satellite imagery, animations, and more specialized images like atomic orbital depictions are also composed of data, and have also become more common. Creating, using, and reading visual forms of data is just one type of data <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a> (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=154\">Data Analysis and Interpretation<\/a> module), but it is ubiquitous throughout all fields and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/method\/pop\">methods<\/a> of scientific investigation.<\/p>\n<div class=\"comprehension-checkpoint\">\n<p class=\"leader\">Comprehension Checkpoint<\/p>\n<p class=\"question\">Representing data graphically<\/p>\n<form class=\"question\" action=\"action\" id=\"cc5761\">\n<ul class=\"quiz-options\">\n<li class=\"option-a\"><label class=\"choice\" for=\"q1-5761-0-option-a\">means taking a photograph.<\/label><\/li>\n<li class=\"option-b\"><label class=\"choice\" for=\"q1-5761-1-option-b\">makes it easier to interpret complex datasets.<\/label><\/li>\n<\/ul>\n<\/form>\n<\/div>\n<\/section>\n<section id=\"toc_2\" class=\"article-section\">\n<h2>Interpreting graphs<\/h2>\n<p>The majority of graphs published in scientific journals relate two <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a>. As many as 85% of graphs published in the journal <em>Science<\/em>, in fact, show the relationship between two variables, one on the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/x~axis\/pop\">x-axis<\/a> and another on the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/y~axis\/pop\">y-axis<\/a> (Cleveland, 1984). Although many other kinds of graphs exist, knowing how to fully interpret a two-variable graph can not only help anyone decipher the vast majority of graphs in the scientific literature but also offers a starting point for examining more complex graphs. As an example, imagine trying to identify any long-term trends in the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> table that follows of atmospheric carbon dioxide <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> taken over several years at Mauna Loa (Table 1; click on the excerpt below to see the complete data table).<\/p>\n<figure><a title=\"data table\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_2555.png\"> <img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-2555-031201071214.gif\" alt=\"data table\" \/> <\/a><figcaption><b>Table 1:<\/b> This is a small portion of a data table containing atmospheric carbon dioxide concentrations measured at Mauna Loa &#8211; click on it to see the full table. Download the data from the <a href=\"http:\/\/cdiac.ornl.gov\/trends\/co2\/sio-mlo.html\">CDIAC<\/a> (Carbon Dioxide Information Analysis Center).<\/figcaption><\/figure>\n<p>The <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> are straightforward \u2013 time in months in the top row of the table, years in the far left column of the table, and carbon dioxide (CO<sub>2<\/sub>) <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> within the individual table <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/cell\/pop\">cells<\/a>. Yet, it is challenging for most people to make sense of that much numerical information. You would have to look carefully at the entire table to see any trends. But if we take the exact same <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> and plot it on a graph, this is what it looks like (Figure 2):<\/p>\n<figure><a title=\"Carbon dioxide concentration\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4109.png\"> <img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4109-081104021109.jpg\" alt=\"Carbon dioxide concentration\" \/> <\/a><figcaption>Figure 2: Data plotted from Table 1, atmospheric CO<sub>2<\/sub> measured at Mauna Loa (Keeling &amp; Whorf, 2005).<\/figcaption><\/figure>\n<p>Reading a graph involves the following steps:<\/p>\n<blockquote><p><b>Describing the graph:<\/b> The x-axis shows the variable of time in units of years, and the y-axis shows the range of the variable of CO<sub>2<\/sub> concentration in units of parts per million (ppm). The dots are individual measurements of concentrations \u2013 the numbers shown in Table 1. Thus, the graph is showing us the change in atmospheric CO<sub>2<\/sub> concentrations over time.<\/p><\/blockquote>\n<blockquote><p><b>Describing the data and trends:<\/b> The line connects consecutive measurements, making it easier to see both the short- and long-term trends within the data. On the graph, it is easy to see that the concentration of atmospheric CO<sub>2<\/sub> steadily rose over time, from a low of about 315 ppm in 1958 to a current level of about 375 ppm. Within that long-term trend, it&#8217;s also easy to see that there are short-term, annual cycles of about 5 ppm.<\/p><\/blockquote>\n<blockquote><p><b>Making interpretations: <\/b>On the graph, scientists can derive additional information from the numerical data, such as how fast CO<sub>2<\/sub> concentration is rising. This rate can be determined by calculating the slope of the long-term trend in the numerical data, and seeing this rate on a graph makes it easily apparent. While a keen observer may have been able to pick out of the table the increase in CO<sub>2<\/sub> concentrations over the five decades provided, it would be difficult for even a highly trained scientist to note the yearly cycling in atmospheric CO<sub>2<\/sub> in the numerical data \u2013 a feature elegantly demonstrated in the sawtooth pattern of the line.<\/p><\/blockquote>\n<p>Putting <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> into a visual format is one step in data <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a>, and well-designed graphs can help scientists interpret their data. Interpretation involves explaining why there is a long-term rise in atmospheric CO<sub>2<\/sub> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentrations<\/a> on top of an annual fluctuation, thus moving beyond the graph itself to put the data into context. Seeing the regular and repeating cycle of about 5 ppm, scientists realized that this fluctuation must be related to natural changes on the planet due to seasonal plant activity. Visual representation of these data also helped scientists to realize that the increase in CO<sub>2<\/sub> concentrations over the five decades shown occurs in parallel with the industrial revolution and thus are almost certainly related to the growing number of human activities that release CO<sub>2<\/sub> (IPCC, 2007).<\/p>\n<p>It is important to note that neither one of these trends (the long-term rise or the annual cycling) nor the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a> can be seen in a single measurement or <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> point. That&#8217;s one reason why you almost never hear scientists use the singular of the word data \u2013 datum. Imagine just one point on a graph. You could draw a trend line going through it in any direction. Rigorous scientific practice requires multiple data points to make a clear interpretation, and a graph can be critical not only in showing the data themselves, but in demonstrating on how much data a scientist is basing his or her interpretation.<\/p>\n<p>We just followed a short, logical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/process\/pop\">process<\/a> to extract a lot of information from this graph. Although an <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/infinite\/pop\">infinite<\/a> variety of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> can appear in graphical form, this same procedure can apply when reading any kind of graph. To reiterate:<\/p>\n<ol>\n<li><b>Describe the graph:<\/b> What does the title say? What <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variable<\/a> is represented on the x-axis? What is on the y-axis? What are the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/unit\/pop\">units<\/a> of measurement? What do the symbols and colors mean?<\/li>\n<li><b>Describe the data:<\/b> What is the numerical range of the data? What kinds of patterns can you see in the distribution of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> as they are plotted?<\/li>\n<li><b>Interpret the data:<\/b> How do the patterns you see in the graph relate to other things you know?<\/li>\n<\/ol>\n<p>The same questions apply whether you are looking at a graph of two <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> or something more complex. Because creating graphs is a form of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/interpretation\/pop\">interpretation<\/a>, it is important to scrutinize a scientist&#8217;s graphs as much as his or her written interpretation.<\/p>\n<div class=\"comprehension-checkpoint\">\n<p class=\"leader\">Comprehension Checkpoint<\/p>\n<p class=\"question\">Graphs are important because they<\/p>\n<form class=\"question\" action=\"action\" id=\"cc5765\">\n<ul class=\"quiz-options\">\n<li class=\"option-a\"><label class=\"choice\" for=\"q1-5765-0-option-a\">can make trends and patterns in the data clear.<\/label><\/li>\n<li class=\"option-b\"><label class=\"choice\" for=\"q1-5765-1-option-b\">show one piece of data clearly.<\/label><\/li>\n<\/ul>\n<\/form>\n<\/div>\n<\/section>\n<section id=\"toc_3\" class=\"article-section\">\n<h2>Error and uncertainty estimation in visual data<\/h2>\n<p>Graphs and other visual representations of scientific information also commonly contain another key element of scientific <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> \u2013 a measure of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/uncertainty\/pop\">uncertainty<\/a> or error within measurements (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=157\">Uncertainty, Error, and Confidence<\/a> module). For example, the graph in Figure 3 presents <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/mean\/pop\">mean<\/a> measurements of mercury emissions from <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/soil\/pop\">soil<\/a> at various times over the course of a single day. The error bars on each vertical bar provide the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/standard+deviation\/pop\">standard deviation<\/a> of each measurement. These error bars are included to demonstrate that the change in emissions with time are greater than the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/inherent\/pop\">inherent<\/a> variability within each measurement (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=155\">Statistics in Science<\/a> module for more information).<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4110-081104021111.jpg\" alt=\"Error bars\" \/><figcaption>Figure 3: Error bars within this graphical display of data are used to demonstrate that the change in measurement value (red bars) with time is greater than the inherent variability within the data (shown as black error bars). Adapted from Carpi et al. (2007).<\/figcaption><\/figure>\n<p>Graphical displays of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> can also be used not just to display error, but to <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/quantify\/pop\">quantify<\/a> error and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/uncertainty\/pop\">uncertainty<\/a> in a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/system\/pop\">system<\/a>. For example, Figure 4 shows a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/gas\/pop\">gas<\/a> chromatograph of a fuel oil spill. Peaks in the chromatograph (the blue line) provide information about the chemicals identified in the spill, and the peak size can provide an estimate of the relative <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/concentration\/pop\">concentration<\/a> of that specific chemical in the spill. However, before this information can be extracted from the graph, instrument error and uncertainty must be calculated (the red line) and subtracted from the peak area. As you can see in Figure 4, instrument variability decreases as you move from left to right in the graph, and in this case, the graphical display of the error is therefore critical to accurate <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> of the data.<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4111-081104021115.jpg\" alt=\"graph - error estimation\" \/><figcaption>Figure 4: Graphical displays of data can be used to estimate system error and uncertainty (red line) as well as present this uncertainty. <span class=\"credit\">image \u00a9 Commonwealth of Australia 2006<\/span><\/figcaption><\/figure>\n<div class=\"comprehension-checkpoint\">\n<p class=\"leader\">Comprehension Checkpoint<\/p>\n<p class=\"question\">Graphical displays of data are used to ___________ error.<\/p>\n<form class=\"question\" action=\"action\" id=\"cc5766\">\n<ul class=\"quiz-options\">\n<li class=\"option-a\"><label class=\"choice\" for=\"q1-5766-0-option-a\">display and quantify<\/label><\/li>\n<li class=\"option-b\"><label class=\"choice\" for=\"q1-5766-1-option-b\">conceal or hide<\/label><\/li>\n<\/ul>\n<\/form>\n<\/div>\n<\/section>\n<section id=\"toc_4\" class=\"article-section\">\n<h2>Misuse of scientific images<\/h2>\n<p>Poor use of graphics can highlight trends that don&#8217;t really exist, or can make real trends disappear. Some have tried to point out errors with the now widely accepted notion of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/climate\/pop\">climate<\/a> change by using misleading graphics. Figure 5, below, is one such graphic that has appeared in print. The point drawn by the creator of this is that the bottom graph, which shows relatively little change in temperature over the past 1,000 years, disputes the top graph used by the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Intergovernmental+Panel+on+Climate+Change\/pop\">Intergovernmental Panel on Climate Change<\/a> that shows a recent, rapid temperature increase.<\/p>\n<figure><a title=\"graph - battle of the graphs\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4112.png\"> <img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4112-081104021118.jpg\" alt=\"graph - battle of the graphs\" \/> <\/a><figcaption><strong>Figure 5:<\/strong> Poor use of graphical displays can confuse and obscure data.<\/figcaption><\/figure>\n<p>At first glance the bottom graph does seem to contradict the top graph. However, looking more closely you realize:<\/p>\n<ul class=\"bulleted\">\n<li>The two graphs actually represent completely different <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a>. The top graph is a representation of change in annual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/mean\/pop\">mean<\/a> global temperature normalized to a 30-year period, 1960-1990, whereas the bottom graph represents <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/average\/pop\">average<\/a> temperatures in Europe compared to an average over the 20th-century.<\/li>\n<li>In addition, the y-axes of the two graphs are displayed on differing scales \u2013 the bottom graph has more space between the 0.5\u00b0 lines.<\/li>\n<\/ul>\n<p>Both of these techniques tend to exaggerate the variability in the lower graph. However, the primary reason for the difference in the graphs is not actually shown in the graphs. The author of the graphic created the image on the bottom using different calculations that did not take into account all of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> that <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/climate\/pop\">climate<\/a> scientists used to create the top graph. In other words, the graphs simply do not show the same <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>.<\/p>\n<p>These are common techniques used to distort visual forms of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> \u2013 manipulating axes, changing one of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a> in a comparison, changing calculations without full explanation \u2013 that can obscure a true comparison.<\/p>\n<\/section>\n<section id=\"toc_5\" class=\"article-section\">\n<h2>Visualizing spatial and three-dimensional data<\/h2>\n<p>There are other kinds of visual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> aside from graphs. You might think of a topographic map or a satellite image as a picture or a sketch of the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/surface\/pop\">surface<\/a> of the earth, but both of these images are ways of visualizing spatial data. A topographic map shows data collected on elevation and the location of geographic features like lakes or mountain peaks (see Figure 6). These data may have been collected in the field by surveyors or by looking at aerial photographs, but nonetheless the map is not a picture of a region \u2013 it is a visual representation of data. The topographic map in Figure 6 is actually accomplishing a second goal beyond simply visualizing data: It is taking three-dimensional data (variations in land elevation) and displaying them in two dimensions on a flat piece of paper.<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4113-081104021120.jpg\" alt=\"topographic map - Warren Peak USGS 7.5\u0092\" \/><figcaption>Figure 6: Portion of the Warren Peak USGS 7.5&#8242; topographic map. Solid brown lines are elevation contours. This image takes 3-dimensional data on elevation and depicts it in two dimensions.<\/figcaption><\/figure>\n<p>Likewise, satellite images are commonly misunderstood to be photographs of the Earth from space, but in reality they are much more complex than that. A satellite records numerical <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> for each pixel, and it does so at certain predefined <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/wavelength\/pop\">wavelengths<\/a> in the electromagnetic <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/spectrum\/pop\">spectrum<\/a> (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=138\">Light II: Electromagnetism<\/a> module for more information). In other words, the image itself is a visualization of data that has been processed from the raw data received from the satellite. For example, the Landsat satellites <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/record\/pop\">record<\/a> data in seven different wavelengths: three in the visible spectrum and four in the infrared wavelengths. The composite image of four of those wavelengths is displayed in the image of a portion of the Colorado Rocky Mountains shown in Figure 7. The large red region in the lower portion of the image is not red vegetation in the mountains; instead, it is a region with high <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/value\/pop\">values<\/a> for emission of infrared (or thermal) wavelengths. In fact, this region was the site of a large forest fire, known as the Hayman Fire, a month prior to the acquisition of the satellite image in July 2002.<\/p>\n<figure><a title=\"Hayman Fire satellite image\" href=\"https:\/\/www.visionlearning.com\/img\/library\/large_images\/image_4114.jpg\"> <img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-4114-081104021123.jpg\" alt=\"Hayman Fire satellite image\" \/> <\/a><figcaption>Figure 7: July 2002 Landsat satellite image of the Hayman Fire, central Colorado. <span class=\"credit\">image \u00a9 USGS Landsat Project<\/span><\/figcaption><\/figure>\n<div class=\"comprehension-checkpoint\">\n<p class=\"leader\">Comprehension Checkpoint<\/p>\n<p class=\"question\">What do satellite images and topographic maps have in common?<\/p>\n<form class=\"question\" action=\"action\" id=\"cc5770\">\n<ul class=\"quiz-options\">\n<li class=\"option-a\"><label class=\"choice\" for=\"q1-5770-0-option-a\">They are visual representations of data.<\/label><\/li>\n<li class=\"option-b\"><label class=\"choice\" for=\"q1-5770-1-option-b\">They are photographs of a place.<\/label><\/li>\n<\/ul>\n<\/form>\n<\/div>\n<\/section>\n<section id=\"toc_6\" class=\"article-section\">\n<h2>Working with image-based data<\/h2>\n<p>The advent of satellite imagery vastly expanded one <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> collection method: extracting data from an image. For example, from a series of satellite images of the Hayman Fire acquired while it was burning, scientists and forest managers were able to extract data about the extent of the fire (which burned deep into National Forest land where it could not be monitored by people on the ground), the rate of spread, and the temperature at which it was burning. By comparing two satellite images, they could find the area that had burned over the course of a day, a week, or a month. Thus, although the images themselves consist of numerical data, additional information can be extracted from these images as a form of data collection.<\/p>\n<p>Another example can be taken from the realm of atomic physics. In 1666, Sir <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Isaac+Newton\/pop\">Isaac Newton<\/a> discovered that when <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/light\/pop\">light<\/a> from the sun is passed through a prism, it separates into a characteristic rainbow of light. Almost 200 years after Newton, <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Herschel%2C+John\/pop\">John Herschel<\/a> and W. H. Fox Talbot demonstrated that when substances are heated and the light they give off is passed through a prism, each <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/element\/pop\">element<\/a> gives off a characteristic pattern of bright lines of color, but they did not understand why (see Figure 8). In 1913, the Danish physicist <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/Bohr%2C+Niels\/pop\">Niels Bohr<\/a> used these images to make a startling proposal: He suggested that the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/line+spectra\/pop\">line spectra<\/a> of elements were due to the movement of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/electron\/pop\">electrons<\/a> between different orbitals, and thus these spectra could provide information regarding the electron <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/configuration\/pop\">configuration<\/a> of the elements (see our <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=51\">Atomic Theory II: Ions, Isotopes, and Electron Shells<\/a> module for more information). You can actually calculate the potential <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/energy\/pop\">energy<\/a> difference between <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/electron+orbitals\/pop\">electron orbitals<\/a> in <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/atom\/pop\">atoms<\/a> by analyzing the color (and thus wavelength) of light emitted.<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-529-021202041202.jpg\" alt=\"spectrum-helium\" \/><\/figure>\n<figure><img decoding=\"async\" src=\"https:\/\/www.visionlearning.com\/img\/library\/modules\/mid156\/Image\/VLObject-530-021202041203.gif\" alt=\"spectrum-neon\" \/><figcaption>Figure 8: Line spectra for helium (top) and neon (bottom). The location and color of the lines represents a unique wavelength that defines the electron configuration of the atoms.<\/figcaption><\/figure>\n<p>Photographs and videos are also visual <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>. In 2005, a group of scientists based in part at the Cornell Ornithology lab published their findings that a bird believed to be <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/extinction\/pop\">extinct<\/a> in North America, the Ivory-billed Woodpecker, had been spotted in Arkansas (Fitzpatrick et al., 2005). Their primary <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/evidence\/pop\">evidence<\/a> consisted of video footage and photographs of a bird in flight, which they included in their paper along with a detailed <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> of the features of the images and video that suggested that the bird was an Ivory-billed Woodpecker. (You can read the article and see the photographs <a href=\"https:\/\/www.visionlearning.com\/library\/module_viewer.php?mid=174\">here<\/a>.)<\/p>\n<\/section>\n<section id=\"toc_7\" class=\"article-section\">\n<h2>Graphs for scientific communication<\/h2>\n<p>Many areas of study within science have more specialized graphs used for specific kinds of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a>. Evolutionary biologists, for example, use evolutionary trees or <em>cladograms<\/em> to show how <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/species\/pop\">species<\/a> are related to each other, what characteristics they share, and how they evolve over time. Geologists use a type of graph called a <em>stereonet<\/em> that represents the inside of a hemisphere in order to depict the orientation of rock layers in three-dimensional space. Many fields now use three-dimensional graphs to represent three <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/variable\/pop\">variables<\/a>, though they may not actually represent three-dimensional space.<\/p>\n<p>Regardless of the exact type of graph, the creation of clear, understandable visualizations of <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/data\/pop\">data<\/a> is of fundamental importance in all branches of science. In recognition of the critical contribution of visuals to science, the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/National+Science+Foundation\/pop\">National Science Foundation<\/a> and the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/American+Association+for+the+Advancement+of+Science\/pop\">American Association for the Advancement of Science<\/a> sponsor an annual Science and Engineering Visualization Challenge, in which submissions are judged based on their visual impact, effective communication, and originality (NSF, 2007). Likewise, reading and interpreting graphs is a key skill at all levels, from the introductory student to the <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/research\/pop\">research<\/a> scientist. Graphs are a key component of scientific research papers, where new data are routinely presented. Presenting the data from which conclusions are drawn allows other scientists the opportunity to analyze the data for themselves, a <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/process\/pop\">process<\/a> whose purpose is to keep scientific <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/experiment\/pop\">experiments<\/a> and <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/analysis\/pop\">analysis<\/a> as objective as possible. Although tables are necessary to <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/record\/pop\">record<\/a> the data, graphs allow readers to visualize complex <a class=\"term\" title=\"\" href=\"https:\/\/www.visionlearning.com\/en\/glossary\/view\/dataset\/pop\">datasets<\/a> in a simple, concise manner.<\/p>\n<\/section>\n<section id=\"toc-999\" class=\"article-section\">\n<h3>Summary<\/h3>\n<p>Understanding graphs and other visual forms of data is an important skill for scientists. This module describes how to read and interpret graphs and introduces other types of visual data. With a look at various examples, it is clear how trends can be grasped easily when the data is shown in a visual form.<\/p>\n<h3>Key Concepts<\/h3>\n<ul class=\"bulleted\">\n<li>Visual representations of data are essential for both data analysis and interpretation.<\/li>\n<li>Visualization highlights trends and patterns in numeric datasets that might not otherwise be apparent.<\/li>\n<li>Understanding and interpreting graphs and other visual forms of data is a critical skill for scientists and students of science.<\/li>\n<\/ul>\n<\/section>\n<footer>\n<ul class=\"indented links\">\n<li>\n<h5>Further Reading<\/h5>\n<\/li>\n<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Uncertainty-Error-and-Confidence\/157\">Uncertainty, Error, and Confidence<\/a><\/li>\n<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Statistics-in-Science\/155\">Statistics in Science<\/a><\/li>\n<li><a href=\"https:\/\/www.visionlearning.com\/en\/library\/Process-of-Science\/49\/Data-Analysis-and-Interpretation\/154\">Data Analysis and Interpretation<\/a><\/li>\n<\/ul>\n<p><a name=\"refs\" id=\"refs\"><\/a><\/p>\n<ul class=\"indented list\">\n<li>\n<h5>References<\/h5>\n<\/li>\n<li>Carpi, A., Frei, A., Cocris, D., McCloskey, R., Contreras, E., &amp; Ferguson, K. (2007). Analytical artifacts produced by a polycarbonate chamber compared to a Teflon chamber for measuring surface mercury fluxes. <em>Analytical &amp; Bioanalytical Chemistry, 388<\/em>(2), 361-365.<\/li>\n<li>Cleveland, W. S. (1984). Graphs in scientific publications. <em>The American Statistician, 38<\/em>(4), 261-269.<\/li>\n<li>Fitzpatrick, J. W., Lammertink, M., Luneau, M. D., Jr., Gallagher, T. W., Harrison, B. R., Sparling, G. M., . . . Zollner, D. (2005). Ivory-billed woodpecker (Campephilus principalis) persists in continental North America. <em>Science, 308<\/em>(5727), 1460-1462.<\/li>\n<li>IPCC. (2007). <em>Climate change 2007: The physical science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change<\/em>. New York: Cambridge University Press.<\/li>\n<li>Keeling, R. F., Piper,S. C., Bollenbacher, A. F., &amp; Walker, J. S. (2008). Atmospheric CO<sub>2<\/sub> records from sites in the SIO air sampling network. <em>In<\/em> Trends: A compendium of data on global change. Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, US Department of Energy, Oak Ridge, TN, USA.<\/li>\n<li>National Science Foundation. <a href=\"http:\/\/www.nsf.gov\/news\/special_reports\/scivis\/index.jsp?id=challenge\" target=\"_blank\" rel=\"noopener\">Science &amp; engineering visualization challenge<\/a>. Retrieved January 8, 2008.<\/li>\n<li>Playfair, W. (1786). <em>The commercial and political atlas and statistical breviary.<\/em> London: J. Wallis.<\/li>\n<li>Zacks, J., Levy, E., Tversky, B., &amp; Schiano, D. (2002). Graphs in print. In M. Anderson, B. Meyer &amp; P. Olivier (Eds.), <em>Diagrammatic representation and reasoning<\/em> (pp. 187-206). Springer.<\/li>\n<\/ul>\n<\/footer>\n","protected":false},"author":51812,"menu_order":10,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-93","chapter","type-chapter","status-publish","hentry"],"part":49,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapters\/93","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/wp\/v2\/users\/51812"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapters\/93\/revisions"}],"predecessor-version":[{"id":94,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapters\/93\/revisions\/94"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/parts\/49"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapters\/93\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/wp\/v2\/media?parent=93"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/pressbooks\/v2\/chapter-type?post=93"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/wp\/v2\/contributor?post=93"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-hccc-generalscience\/wp-json\/wp\/v2\/license?post=93"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}