{"id":64,"date":"2023-01-31T00:46:19","date_gmt":"2023-01-31T00:46:19","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/distribution-of-quantitative-variables-apply-it-1\/"},"modified":"2025-05-11T19:42:32","modified_gmt":"2025-05-11T19:42:32","slug":"distribution-of-quantitative-variables-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/distribution-of-quantitative-variables-apply-it-1\/","title":{"raw":"Distribution of Quantitative Variables: Apply It 1","rendered":"Distribution of Quantitative Variables: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describe the graph of a data set using shape, center, spread, and outliers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4865,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:0,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Describe the graph of a data set using its shape, center, spread, and outliers<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>The Distribution of Course Evaluation Scores<\/h2>\r\n\r\n[caption id=\"attachment_3196\" align=\"aligncenter\" width=\"350\"]<img class=\"wp-image-3196\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/01\/31004615\/pexels-vanessa-garcia-6326377-scaled-1.jpg\" alt=\"Photo of a person gesturing towards a whiteboard.\" width=\"350\" height=\"525\" \/> Figure 1. Course evaluations help instructors reflect on their teaching and make improvements based on student feedback.[\/caption]\r\n\r\n<p>At the end of a course in higher education, students might have an opportunity to evaluate the course and the instructor. This evaluation is called a course evaluation. A course evaluation can be a paper or electronic questionnaire. Typically, a course evaluation is not mandatory, but recommended. Collecting data using a course evaluation is a way to collect feedback, which the instructor and school can use to assess the quality of instruction and make targeted changes.<\/p>\r\n<section class=\"textbox recall\">When we describe patterns in data, we use descriptions of\u00a0shape,\u00a0center, and\u00a0spread. We also describe exceptions to the pattern. We call these exceptions\u00a0outliers.<br \/>\r\n[caption id=\"attachment_3061\" align=\"aligncenter\" width=\"350\"]<img class=\"wp-image-3061\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/29172703\/3.4L.png\" alt=\"Flow chart with three levels. The first level is &quot;Graph the distribution of a quantitiative variable&quot; which points to two different boxes on the second level, &quot;Overall pattern&quot; and &quot;Deviations from the pattern&quot;. Overall pattern points to three options, &quot;Shape&quot;, &quot;Center&quot;, and &quot;Spread.&quot; &quot;Deviations from the pattern&quot; points to one option, &quot;Outliers.&quot;\" width=\"350\" height=\"293\" \/> Figure 2. When analyzing a graph, describe the overall pattern (shape, center, spread) and look for deviations, or outliers, that don\u2019t follow the pattern.[\/caption]\r\n<\/section>\r\n<div>\r\n<p>Let's consider the statistical question: In general, what percentage of students complete course evaluations?<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]806[\/ohm2_question]<\/section>\r\n<section><\/section>\r\n<p>The Teaching Evaluation data set contains information collected from student evaluations for a sample of [latex]463[\/latex] courses taught by [latex]94[\/latex] professors at The University of Texas at Austin.<\/p>\r\n<\/div>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\r\n<p><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\r\n<section class=\"textbox youChoose\">[choosedataset divId=\"tnh-choose-dataset\" title=\"Choose Your Own Dataset\" label=\"For this problem, you'll create a histogram and describe its distribution for a variable of your choosing from the Teaching Evaluation data set.\" default=\"Choose a Dataset\"]<br \/>\r\n[datasetoption]<br \/>\r\n[displayname]Professor Age[\/displayname]<br \/>\r\n[ohmid]812[\/ohmid]<br \/>\r\n[\/datasetoption][datasetoption]<br \/>\r\n[displayname]Student Enrollment[\/displayname]<br \/>\r\n[ohmid]813[\/ohmid]<br \/>\r\n[\/datasetoption][datasetoption]<br \/>\r\n[displayname]Evaluation Scores[\/displayname]<br \/>\r\n[ohmid]814[\/ohmid]<br \/>\r\n[\/datasetoption][\/choosedataset]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describe the graph of a data set using shape, center, spread, and outliers&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4865,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:0,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Describe the graph of a data set using its shape, center, spread, and outliers<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>The Distribution of Course Evaluation Scores<\/h2>\n<figure id=\"attachment_3196\" aria-describedby=\"caption-attachment-3196\" style=\"width: 350px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3196\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/01\/31004615\/pexels-vanessa-garcia-6326377-scaled-1.jpg\" alt=\"Photo of a person gesturing towards a whiteboard.\" width=\"350\" height=\"525\" \/><figcaption id=\"caption-attachment-3196\" class=\"wp-caption-text\">Figure 1. Course evaluations help instructors reflect on their teaching and make improvements based on student feedback.<\/figcaption><\/figure>\n<p>At the end of a course in higher education, students might have an opportunity to evaluate the course and the instructor. This evaluation is called a course evaluation. A course evaluation can be a paper or electronic questionnaire. Typically, a course evaluation is not mandatory, but recommended. Collecting data using a course evaluation is a way to collect feedback, which the instructor and school can use to assess the quality of instruction and make targeted changes.<\/p>\n<section class=\"textbox recall\">When we describe patterns in data, we use descriptions of\u00a0shape,\u00a0center, and\u00a0spread. We also describe exceptions to the pattern. We call these exceptions\u00a0outliers.<\/p>\n<figure id=\"attachment_3061\" aria-describedby=\"caption-attachment-3061\" style=\"width: 350px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3061\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/10\/2022\/10\/29172703\/3.4L.png\" alt=\"Flow chart with three levels. The first level is &quot;Graph the distribution of a quantitiative variable&quot; which points to two different boxes on the second level, &quot;Overall pattern&quot; and &quot;Deviations from the pattern&quot;. Overall pattern points to three options, &quot;Shape&quot;, &quot;Center&quot;, and &quot;Spread.&quot; &quot;Deviations from the pattern&quot; points to one option, &quot;Outliers.&quot;\" width=\"350\" height=\"293\" \/><figcaption id=\"caption-attachment-3061\" class=\"wp-caption-text\">Figure 2. When analyzing a graph, describe the overall pattern (shape, center, spread) and look for deviations, or outliers, that don\u2019t follow the pattern.<\/figcaption><\/figure>\n<\/section>\n<div>\n<p>Let&#8217;s consider the statistical question: In general, what percentage of students complete course evaluations?<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm806\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=806&theme=lumen&iframe_resize_id=ohm806&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section><\/section>\n<p>The Teaching Evaluation data set contains information collected from student evaluations for a sample of [latex]463[\/latex] courses taught by [latex]94[\/latex] professors at The University of Texas at Austin.<\/p>\n<\/div>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox youChoose\">\n<div id=\"tnh-choose-dataset\" class=\"chooseDataset\">\n<h3>Choose Your Own Dataset<\/h3>\n<h4>For this problem, you'll create a histogram and describe its distribution for a variable of your choosing from the Teaching Evaluation data set.<\/h4>\n<form><select name=\"dataset\"><option value=\"\">Choose a Dataset<\/option><option value=\"812\">Professor Age<\/option><option value=\"813\">Student Enrollment<\/option><option value=\"814\">Evaluation Scores<\/option><\/select><\/form>\n<div class=\"ohmContainer\"><\/div>\n<\/p><\/div>\n<\/section>\n","protected":false},"author":6,"menu_order":24,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Smiling math professor\",\"author\":\"Vanessa Garcia\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/photo-of-man-discussing-on-white-board-6326377\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":20,"module-header":"apply_it","content_attributions":[{"type":"cc","description":"Smiling math professor","author":"Vanessa Garcia","organization":"Pexels","url":"https:\/\/www.pexels.com\/photo\/photo-of-man-discussing-on-white-board-6326377\/","project":"","license":"cc0","license_terms":""}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":[{"divId":"tnh-choose-dataset","title":"Choose Your Own Dataset","label":"For this problem, you'll create a histogram and describe its distribution for a variable of your choosing from the Teaching Evaluation data set.","default":"Choose a Dataset","try_it_collection":[{"displayName":"Professor Age","value":"812"},{"displayName":"Student Enrollment","value":"813"},{"displayName":"Evaluation Scores","value":"814"}]}],"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/64"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":16,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/64\/revisions"}],"predecessor-version":[{"id":6613,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/64\/revisions\/6613"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/64\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=64"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=64"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=64"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=64"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}