{"id":243,"date":"2022-02-18T23:41:19","date_gmt":"2022-02-18T23:41:19","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/?post_type=chapter&#038;p=243"},"modified":"2022-03-07T15:30:39","modified_gmt":"2022-03-07T15:30:39","slug":"introduction-to-visualizing-quantitative-data","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/chapter\/introduction-to-visualizing-quantitative-data\/","title":{"raw":"Introduction to Visualizing Quantitative Data","rendered":"Introduction to Visualizing Quantitative Data"},"content":{"raw":"<div class=\"textbox tryit\">\r\n<h3>Concept Map<\/h3>\r\nAnimated flyover of concept map, focusing in on the following topics.\r\n\r\n<\/div>\r\n<span style=\"background-color: #ccffcc;\">For #2, and #6 below, DC writes prior to question (2) <em>In a previous activity you learned about dotplots, graphical displays for quantitative\u00a0data where each dot represents an observation. Dotplots are useful for visualizing\u00a0distributions when the data set is small.<\/em>\u00a0This is true. Dotplots first appear in Corequisite Activity 2A as an exploration of using a\u00a0random number generator to select a random sample from a finite\u00a0population, and calculate the arithmetic mean. Students who don't see coreq pages see their instructor use the tool to make a dotplot in WTK 2A (then are instructed to sketch the plot in their notebook)<\/span>\r\n\r\nDC sometimes takes an LO from a WTK and has students \"pre-practice\" it before joining the credit-bearing class meeting so that they'll have enough familiarity with a challenging skill to persist through the activity. The credit bearing portion (WTK and FC) often moves faster than a co-req student desires or needs it to. This page is such a coreq, practicing upcoming material in advance.\r\n<h2 style=\"text-align: center;\">Prerequisites to complete Corequisite Support Activity, What to Know, and Forming Connections in Visualizing Quantitative Data<\/h2>\r\n<strong>Corequisite Support Activity<\/strong>\u00a0(source: 1-5 implied prior knowledge in content; 6-7 specified as prior knowledge in DC instructor page)\r\n<ol>\r\n \t<li>Create a frequency table from a data set by hand. <span style=\"background-color: #fad4e7;\">&lt;---This is an LO for this page<\/span><\/li>\r\n \t<li><span style=\"background-color: #ffff99;\">Create a dotplot from a frequency table using technology. &lt;-- this is included in #6,\u00a0<\/span><\/li>\r\n \t<li><span style=\"background-color: #ffff99;\">Create a histogram from a frequency table using technology. &lt;--- this is included in #6<\/span><\/li>\r\n \t<li>Understand the difference between a bar graph and a histogram.<span style=\"background-color: #fad4e7;\">&lt;--- This is an LO for this page<\/span><\/li>\r\n \t<li>Create a histogram from a data set using technology.\u00a0<span style=\"background-color: #fad4e7;\">&lt;--- This is an LO for this page.<\/span><\/li>\r\n \t<li>Use technology to make plots to visualize distributions of quantitative variables <span style=\"background-color: #ccffcc;\">&lt;--See note above. This is an LO for the following WTK<\/span><\/li>\r\n \t<li>Use a plot to describe features of a distribution <span style=\"background-color: #ccffcc;\">&lt;-- This is an LO for the following WTK activity<\/span><\/li>\r\n<\/ol>\r\n<strong>What to Know<\/strong>\u00a0(source: implied prior knowledge in content)\r\n<ol>\r\n \t<li>Identify a variable as quantitative or categorical <span style=\"background-color: #ccffcc;\">&lt;-- This is an LO for this page<\/span><\/li>\r\n \t<li>Identify appropriate visual displays for the distribution of a categorical variable <span style=\"background-color: #ccffcc;\">&lt;-- This is an LO for this page<\/span><\/li>\r\n<\/ol>\r\n<strong>Forming Connections<\/strong>\u00a0(source: WTK LOs explicitly given in DC instructor page in-class activity)\r\n<ol>\r\n \t<li>Identify quantitative variables and the plots used to visualize their distributions.<\/li>\r\n \t<li>Use technology to make a plot of the distribution of a quantitative variable.<\/li>\r\n \t<li>Use a histogram to describe a distribution.<\/li>\r\n \t<li>Identify how the bin width affects the histogram.<\/li>\r\n \t<li>Use a dotplot to describe a distribution.<\/li>\r\n \t<li>Identify a population and sample and explain limitations on the scope of the analysis based on the sample data.<\/li>\r\n<\/ol>","rendered":"<div class=\"textbox tryit\">\n<h3>Concept Map<\/h3>\n<p>Animated flyover of concept map, focusing in on the following topics.<\/p>\n<\/div>\n<p><span style=\"background-color: #ccffcc;\">For #2, and #6 below, DC writes prior to question (2) <em>In a previous activity you learned about dotplots, graphical displays for quantitative\u00a0data where each dot represents an observation. Dotplots are useful for visualizing\u00a0distributions when the data set is small.<\/em>\u00a0This is true. Dotplots first appear in Corequisite Activity 2A as an exploration of using a\u00a0random number generator to select a random sample from a finite\u00a0population, and calculate the arithmetic mean. Students who don&#8217;t see coreq pages see their instructor use the tool to make a dotplot in WTK 2A (then are instructed to sketch the plot in their notebook)<\/span><\/p>\n<p>DC sometimes takes an LO from a WTK and has students &#8220;pre-practice&#8221; it before joining the credit-bearing class meeting so that they&#8217;ll have enough familiarity with a challenging skill to persist through the activity. The credit bearing portion (WTK and FC) often moves faster than a co-req student desires or needs it to. This page is such a coreq, practicing upcoming material in advance.<\/p>\n<h2 style=\"text-align: center;\">Prerequisites to complete Corequisite Support Activity, What to Know, and Forming Connections in Visualizing Quantitative Data<\/h2>\n<p><strong>Corequisite Support Activity<\/strong>\u00a0(source: 1-5 implied prior knowledge in content; 6-7 specified as prior knowledge in DC instructor page)<\/p>\n<ol>\n<li>Create a frequency table from a data set by hand. <span style=\"background-color: #fad4e7;\">&lt;&#8212;This is an LO for this page<\/span><\/li>\n<li><span style=\"background-color: #ffff99;\">Create a dotplot from a frequency table using technology. &lt;&#8211; this is included in #6,\u00a0<\/span><\/li>\n<li><span style=\"background-color: #ffff99;\">Create a histogram from a frequency table using technology. &lt;&#8212; this is included in #6<\/span><\/li>\n<li>Understand the difference between a bar graph and a histogram.<span style=\"background-color: #fad4e7;\">&lt;&#8212; This is an LO for this page<\/span><\/li>\n<li>Create a histogram from a data set using technology.\u00a0<span style=\"background-color: #fad4e7;\">&lt;&#8212; This is an LO for this page.<\/span><\/li>\n<li>Use technology to make plots to visualize distributions of quantitative variables <span style=\"background-color: #ccffcc;\">&lt;&#8211;See note above. This is an LO for the following WTK<\/span><\/li>\n<li>Use a plot to describe features of a distribution <span style=\"background-color: #ccffcc;\">&lt;&#8211; This is an LO for the following WTK activity<\/span><\/li>\n<\/ol>\n<p><strong>What to Know<\/strong>\u00a0(source: implied prior knowledge in content)<\/p>\n<ol>\n<li>Identify a variable as quantitative or categorical <span style=\"background-color: #ccffcc;\">&lt;&#8211; This is an LO for this page<\/span><\/li>\n<li>Identify appropriate visual displays for the distribution of a categorical variable <span style=\"background-color: #ccffcc;\">&lt;&#8211; This is an LO for this page<\/span><\/li>\n<\/ol>\n<p><strong>Forming Connections<\/strong>\u00a0(source: WTK LOs explicitly given in DC instructor page in-class activity)<\/p>\n<ol>\n<li>Identify quantitative variables and the plots used to visualize their distributions.<\/li>\n<li>Use technology to make a plot of the distribution of a quantitative variable.<\/li>\n<li>Use a histogram to describe a distribution.<\/li>\n<li>Identify how the bin width affects the histogram.<\/li>\n<li>Use a dotplot to describe a distribution.<\/li>\n<li>Identify a population and sample and explain limitations on the scope of the analysis based on the sample data.<\/li>\n<\/ol>\n","protected":false},"author":175116,"menu_order":12,"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-243","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapters\/243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/wp\/v2\/users\/175116"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapters\/243\/revisions"}],"predecessor-version":[{"id":854,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapters\/243\/revisions\/854"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapters\/243\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/wp\/v2\/media?parent=243"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/pressbooks\/v2\/chapter-type?post=243"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/wp\/v2\/contributor?post=243"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/exemplarstatistics\/wp-json\/wp\/v2\/license?post=243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}