{"id":47,"date":"2022-05-20T16:59:05","date_gmt":"2022-05-20T16:59:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/five-number-summary-in-box-plots-and-datasets-forming-connections\/"},"modified":"2022-07-28T21:44:40","modified_gmt":"2022-07-28T21:44:40","slug":"five-number-summary-in-box-plots-and-datasets-forming-connections","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/five-number-summary-in-box-plots-and-datasets-forming-connections\/","title":{"raw":"Five Number Summary in Boxplots and Data Sets: Apply It 1","rendered":"Five Number Summary in Boxplots and Data Sets: Apply It 1"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Goals<\/h3>\r\nDuring this activity, you will:\r\n<ul>\r\n \t<li><a href=\"#bxplot_compare\">Use boxplots to compare the distributions of multiple populations<\/a><\/li>\r\n \t<li><a href=\"#bxplot_infer\">Use boxplots to draw inferences<\/a><\/li>\r\n<\/ul>\r\nClick on a skill above to jump to its location in this activity.\r\n\r\n<\/div>\r\n<div class=\"textbox tryit\">\r\n<h3>video placement<\/h3>\r\n<span style=\"background-color: #e6daf7;\">[Intro: The data set used in this activity comes from the independent Tax Policy Center, a non-partisan group. We'll look at the Tax Policy Center's distributional tables of tax cuts by income levels, which were constructed in February 2018, in order to apply public policy analysis to a tax reform bill signed into law in 2017. Specifically, we'll use this situation to explore how boxplots can be used to compare distributions across several populations and draw inferences about them. As you read the two quotes at the start of the activity, consider the differences in them and ways in which you might investigate the accuracy of their claims.]<\/span>\r\n\r\n<\/div>\r\n<h2>Good Tax Policy?<\/h2>\r\n<strong><img class=\"wp-image-1026 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/11223253\/Picture52-300x199.jpg\" alt=\"A calculator that has a display reading &quot;tax&quot; sitting on top of 100 dollar bills.\" width=\"489\" height=\"324\" \/><\/strong>\r\n\r\nRead these two quotes about the U.S. 2017 Tax Reform bill:[footnote] Data and lesson context adapted from Skew the Script, www.skewthescript.org [\/footnote]\r\n\r\n\u201cWe're doing everything we can to reduce the tax burden on you and your family. By eliminating tax breaks and loopholes, we will ensure that the benefits are focused on the middle class, the working men and women, not the highest income earners. Our framework includes our explicit commitment that tax reform will protect low-income and middle-income households, not the wealthy and well connected.\u201d \u2013 President Donald Trump in 2017, prior to the bill\u2019s enactment[footnote] Administration of Donald J. Trump. (2017, September 27).\u00a0<em>Remarks in Indianapolis, Indiana.\u00a0<\/em>Govinfo.gov. https:\/\/www.govinfo.gov\/content\/pkg\/DCPD-201700693\/html\/DCPD-201700693.htm\u00a0[\/footnote]\r\n\r\n\u201cYou remember just a few years ago when Trump and my Republican colleagues voted for almost $[latex]2[\/latex] trillion in tax breaks for the wealthiest people in this country and the largest corporations.\u201d \u2013 Bernie Sanders in 2021, after the bill was enacted[footnote] Cooper, A. (Interviewer). (2021, January 29.).\u00a0<em>CNN.<\/em> [\/footnote]\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 1<\/h3>\r\n[ohm_question hide_question_numbers=1]241160[\/ohm_question]\r\n\r\n[reveal-answer q=\"589434\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"589434\"]What kind of data would help you to evaluate these claims?[\/hidden-answer]\r\n\r\n<\/div>\r\nIn this activity, you'll see how to use a boxplot to provide a visual summary of a quantitative variable, and how boxplots can be used to compare the distributions of multiple populations.","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Goals<\/h3>\n<p>During this activity, you will:<\/p>\n<ul>\n<li><a href=\"#bxplot_compare\">Use boxplots to compare the distributions of multiple populations<\/a><\/li>\n<li><a href=\"#bxplot_infer\">Use boxplots to draw inferences<\/a><\/li>\n<\/ul>\n<p>Click on a skill above to jump to its location in this activity.<\/p>\n<\/div>\n<div class=\"textbox tryit\">\n<h3>video placement<\/h3>\n<p><span style=\"background-color: #e6daf7;\">[Intro: The data set used in this activity comes from the independent Tax Policy Center, a non-partisan group. We&#8217;ll look at the Tax Policy Center&#8217;s distributional tables of tax cuts by income levels, which were constructed in February 2018, in order to apply public policy analysis to a tax reform bill signed into law in 2017. Specifically, we&#8217;ll use this situation to explore how boxplots can be used to compare distributions across several populations and draw inferences about them. As you read the two quotes at the start of the activity, consider the differences in them and ways in which you might investigate the accuracy of their claims.]<\/span><\/p>\n<\/div>\n<h2>Good Tax Policy?<\/h2>\n<p><strong><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1026 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/11223253\/Picture52-300x199.jpg\" alt=\"A calculator that has a display reading &quot;tax&quot; sitting on top of 100 dollar bills.\" width=\"489\" height=\"324\" \/><\/strong><\/p>\n<p>Read these two quotes about the U.S. 2017 Tax Reform bill:<a class=\"footnote\" title=\"Data and lesson context adapted from Skew the Script, www.skewthescript.org\" id=\"return-footnote-47-1\" href=\"#footnote-47-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p>\u201cWe&#8217;re doing everything we can to reduce the tax burden on you and your family. By eliminating tax breaks and loopholes, we will ensure that the benefits are focused on the middle class, the working men and women, not the highest income earners. Our framework includes our explicit commitment that tax reform will protect low-income and middle-income households, not the wealthy and well connected.\u201d \u2013 President Donald Trump in 2017, prior to the bill\u2019s enactment<a class=\"footnote\" title=\"Administration of Donald J. Trump. (2017, September 27).\u00a0Remarks in Indianapolis, Indiana.\u00a0Govinfo.gov. https:\/\/www.govinfo.gov\/content\/pkg\/DCPD-201700693\/html\/DCPD-201700693.htm\u00a0\" id=\"return-footnote-47-2\" href=\"#footnote-47-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a><\/p>\n<p>\u201cYou remember just a few years ago when Trump and my Republican colleagues voted for almost $[latex]2[\/latex] trillion in tax breaks for the wealthiest people in this country and the largest corporations.\u201d \u2013 Bernie Sanders in 2021, after the bill was enacted<a class=\"footnote\" title=\"Cooper, A. (Interviewer). (2021, January 29.).\u00a0CNN.\" id=\"return-footnote-47-3\" href=\"#footnote-47-3\" aria-label=\"Footnote 3\"><sup class=\"footnote\">[3]<\/sup><\/a><\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 1<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241160\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241160&theme=oea&iframe_resize_id=ohm241160\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q589434\">Hint<\/span><\/p>\n<div id=\"q589434\" class=\"hidden-answer\" style=\"display: none\">What kind of data would help you to evaluate these claims?<\/div>\n<\/div>\n<\/div>\n<p>In this activity, you&#8217;ll see how to use a boxplot to provide a visual summary of a quantitative variable, and how boxplots can be used to compare the distributions of multiple populations.<\/p>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-47-1\"> Data and lesson context adapted from Skew the Script, www.skewthescript.org  <a href=\"#return-footnote-47-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-47-2\"> Administration of Donald J. Trump. (2017, September 27).\u00a0<em>Remarks in Indianapolis, Indiana.\u00a0<\/em>Govinfo.gov. https:\/\/www.govinfo.gov\/content\/pkg\/DCPD-201700693\/html\/DCPD-201700693.htm\u00a0 <a href=\"#return-footnote-47-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><li id=\"footnote-47-3\"> Cooper, A. (Interviewer). (2021, January 29.).\u00a0<em>CNN.<\/em>  <a href=\"#return-footnote-47-3\" class=\"return-footnote\" aria-label=\"Return to footnote 3\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":17533,"menu_order":41,"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-47","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/47","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/47\/revisions"}],"predecessor-version":[{"id":562,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/47\/revisions\/562"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/47\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=47"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=47"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=47"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}