{"id":2237,"date":"2021-10-07T17:16:36","date_gmt":"2021-10-07T17:16:36","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2237"},"modified":"2022-04-21T23:31:01","modified_gmt":"2022-04-21T23:31:01","slug":"reading-percent-data-from-graphs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/reading-percent-data-from-graphs\/","title":{"raw":"Reading Percent Data from Graphs","rendered":"Reading Percent Data from Graphs"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Read and interpret data from pie charts and bar charts as percents<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2>Pie Charts<\/h2>\r\nCircle graphs, or pie charts, represent data as sections of the circle (or \u201cpieces of the pie\u201d), corresponding to their percentage of the whole. Circle graphs are often used to show how a whole set of data is broken down into individual components.\r\n\r\nHere\u2019s an example: At the beginning of a semester, a teacher talks about how she will determine student grades. She says, \u201cHalf your grade will be based on the final exam, and [latex]20\\%[\/latex] will be determined by quizzes. A class project will also be worth [latex]20\\%[\/latex] and class participation will count for [latex]10\\%[\/latex].\u201d In addition to telling the class this information, she could also create a circle graph.\r\n<p align=\"center\"><img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/117\/2016\/04\/20210251\/image074.gif\" alt=\"Pie chart for grade determination. Final exams determine 50 percent, Quizzes 20 percent, Class Projects 20 percent, and Class Participation 10 percent.\" width=\"373\" height=\"264\" \/><\/p>\r\nThis graph is useful because it relates each part\u2014the final exam, the quizzes, the class project, and the class participation\u2014to the whole.\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nIf the total number of points possible in the class is [latex]500[\/latex], how many points is the final exam worth?\r\n\r\n[reveal-answer q=\"956080\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"956080\"]Simplify the problem by eliminating extra words.\r\n<p style=\"text-align: center;\">What is [latex]50\\%[\/latex] of [latex]500[\/latex]?<\/p>\r\nIdentify the percent, the base, and the amount.\r\n\r\nPercent: [latex]50\\%[\/latex] = [latex]0.50[\/latex]\r\nBase: [latex]500[\/latex]\r\nAmount: [latex]n[\/latex]\r\n\r\nWrite the percent equation.\r\n<p style=\"text-align: center;\">[latex]\\begin{array}{c}\\text{Percent}\\cdot\\text{Base}=\\text{Amount}\\\\0.50\\cdot500=n\\end{array}[\/latex]<\/p>\r\nMultiply.\r\n<p style=\"text-align: center;\">[latex]\\left(0.50\\right)\\left(500\\right) = n[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]250 = n[\/latex]<\/p>\r\n\r\n<h4>Answer<\/h4>\r\nThis tells us that the final is worth [latex]250[\/latex] points.\r\n<p style=\"text-align: center;\">[\/hidden-answer]<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question]31324[\/ohm_question]\r\n\r\n<\/div>\r\nIn the following video, an example of using a pie chart to determine a percent of a whole is shown.\r\n\r\nhttps:\/\/youtu.be\/TAUDMvl8Vg8\r\n<h2>Bar Graphs<\/h2>\r\nBar graphs are another way to represent categorical data graphically. The bar graph below represents the distribution of students at a four-year college categorized by class standing. 31% of students are freshmen, 16% are sophomores, 27% are juniors, and 26% are seniors. In a bar graph, the height of each bar corresponds to the percent, or relative frequency, of data values observed in each category.\r\n\r\n<img class=\"aligncenter wp-image-2241 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/07181952\/Picture1.png\" alt=\"a bar graph with 4 bars. The first one is labeled Freshman with a hight of 0.31, the second is labeled sophomore with a height of 0.16, the third is labeled Junior with a height of 0.27 and the last is labeled Senior with a height of 0.26\" width=\"361\" height=\"217\" \/>\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nIf there are 775 freshmen at the college, how many students are enrolled at the college?\r\n\r\n[reveal-answer q=\"844198\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"844198\"]\r\n\r\nFormulate the question as a percent problem.\r\n\r\nIdentify the percent, the base, and the amount.\r\n\r\nPercent: 31%\r\n\r\nBase:\u00a0 B\r\n\r\nAmount: 775\r\n\r\nWrite the percent equation.\r\n<p style=\"text-align: center;\">[latex]\\mathrm{Percent} \\ \\cdot \\ \\mathrm{Base} \\ = \\ \\mathrm{Amount}[\/latex]<\/p>\r\n<p style=\"text-align: center;\">[latex]0.31 \\cdot B =775[\/latex]<\/p>\r\nDivide.\r\n<p style=\"text-align: center;\">[latex]B=\\frac{775}{0.31} = 2500[\/latex]<\/p>\r\n\r\n<h4>Answer<\/h4>\r\nThere are a total of 2500 students enrolled at the college.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Read and interpret data from pie charts and bar charts as percents<\/li>\n<\/ul>\n<\/div>\n<h2>Pie Charts<\/h2>\n<p>Circle graphs, or pie charts, represent data as sections of the circle (or \u201cpieces of the pie\u201d), corresponding to their percentage of the whole. Circle graphs are often used to show how a whole set of data is broken down into individual components.<\/p>\n<p>Here\u2019s an example: At the beginning of a semester, a teacher talks about how she will determine student grades. She says, \u201cHalf your grade will be based on the final exam, and [latex]20\\%[\/latex] will be determined by quizzes. A class project will also be worth [latex]20\\%[\/latex] and class participation will count for [latex]10\\%[\/latex].\u201d In addition to telling the class this information, she could also create a circle graph.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/117\/2016\/04\/20210251\/image074.gif\" alt=\"Pie chart for grade determination. Final exams determine 50 percent, Quizzes 20 percent, Class Projects 20 percent, and Class Participation 10 percent.\" width=\"373\" height=\"264\" \/><\/p>\n<p>This graph is useful because it relates each part\u2014the final exam, the quizzes, the class project, and the class participation\u2014to the whole.<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>If the total number of points possible in the class is [latex]500[\/latex], how many points is the final exam worth?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q956080\">Show Solution<\/span><\/p>\n<div id=\"q956080\" class=\"hidden-answer\" style=\"display: none\">Simplify the problem by eliminating extra words.<\/p>\n<p style=\"text-align: center;\">What is [latex]50\\%[\/latex] of [latex]500[\/latex]?<\/p>\n<p>Identify the percent, the base, and the amount.<\/p>\n<p>Percent: [latex]50\\%[\/latex] = [latex]0.50[\/latex]<br \/>\nBase: [latex]500[\/latex]<br \/>\nAmount: [latex]n[\/latex]<\/p>\n<p>Write the percent equation.<\/p>\n<p style=\"text-align: center;\">[latex]\\begin{array}{c}\\text{Percent}\\cdot\\text{Base}=\\text{Amount}\\\\0.50\\cdot500=n\\end{array}[\/latex]<\/p>\n<p>Multiply.<\/p>\n<p style=\"text-align: center;\">[latex]\\left(0.50\\right)\\left(500\\right) = n[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]250 = n[\/latex]<\/p>\n<h4>Answer<\/h4>\n<p>This tells us that the final is worth [latex]250[\/latex] points.<\/p>\n<p style=\"text-align: center;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm31324\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=31324&theme=oea&iframe_resize_id=ohm31324&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the following video, an example of using a pie chart to determine a percent of a whole is shown.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Percent App: Find the Percent of An Amount After Reading a Pie Chart\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/TAUDMvl8Vg8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2>Bar Graphs<\/h2>\n<p>Bar graphs are another way to represent categorical data graphically. The bar graph below represents the distribution of students at a four-year college categorized by class standing. 31% of students are freshmen, 16% are sophomores, 27% are juniors, and 26% are seniors. In a bar graph, the height of each bar corresponds to the percent, or relative frequency, of data values observed in each category.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2241 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/07181952\/Picture1.png\" alt=\"a bar graph with 4 bars. The first one is labeled Freshman with a hight of 0.31, the second is labeled sophomore with a height of 0.16, the third is labeled Junior with a height of 0.27 and the last is labeled Senior with a height of 0.26\" width=\"361\" height=\"217\" \/><\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>If there are 775 freshmen at the college, how many students are enrolled at the college?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q844198\">Show Answer<\/span><\/p>\n<div id=\"q844198\" class=\"hidden-answer\" style=\"display: none\">\n<p>Formulate the question as a percent problem.<\/p>\n<p>Identify the percent, the base, and the amount.<\/p>\n<p>Percent: 31%<\/p>\n<p>Base:\u00a0 B<\/p>\n<p>Amount: 775<\/p>\n<p>Write the percent equation.<\/p>\n<p style=\"text-align: center;\">[latex]\\mathrm{Percent} \\ \\cdot \\ \\mathrm{Base} \\ = \\ \\mathrm{Amount}[\/latex]<\/p>\n<p style=\"text-align: center;\">[latex]0.31 \\cdot B =775[\/latex]<\/p>\n<p>Divide.<\/p>\n<p style=\"text-align: center;\">[latex]B=\\frac{775}{0.31} = 2500[\/latex]<\/p>\n<h4>Answer<\/h4>\n<p>There are a total of 2500 students enrolled at the college.<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2237\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Percent App: Find the Percent of An Amount After Reading a Pie Chart. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.youtube.com\/watch?v=TAUDMvl8Vg8\">https:\/\/www.youtube.com\/watch?v=TAUDMvl8Vg8<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>QID 31324. <strong>Authored by<\/strong>: Lippman, D. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Percent App: Find the Percent of An Amount After Reading a Pie 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