{"id":881,"date":"2023-03-20T19:17:55","date_gmt":"2023-03-20T19:17:55","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-variability-of-data-sets-learn-it-3\/"},"modified":"2024-02-27T21:43:54","modified_gmt":"2024-02-27T21:43:54","slug":"comparing-variability-of-data-sets-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-variability-of-data-sets-learn-it-3\/","title":{"raw":"Measures of Variability: Learn It 4","rendered":"Measures of Variability: Learn It 4"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Describe the differences in variability in histograms and dotplots.<\/li>\r\n\t<li>Calculate and describe standard deviation.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Standard Deviation using Technology<\/h2>\r\n<p>Let's use the statistical software to calculate standard deviation.<\/p>\r\n<section class=\"textbox interact\">In the Describing and Exploring Quantitative Variable Statistical tool below:\r\n\r\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong> Select the <strong>Single Group<\/strong>\u00a0tab.<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 2:<\/strong> Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>From Textbook<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 3:<\/strong> Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Sleep Study: Average Sleep<\/strong>.<\/p>\r\n<p>Recall: The sleep study data set investigated whether college students' chronotypes tend to be larks (morning people) or owls (night people).<\/p>\r\n<\/section>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\r\n<p>[<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 tryIt\">[ohm2_question hide_question_numbers=1]2122[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2123[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2124[\/ohm2_question]<\/section>\r\n<p>The larger the value of the standard deviation of the data set, the larger the variability. The smaller the value of the standard deviation, the smaller variability that exists. Because standard deviation is an indication of how reliable our data set is, it helps us to make an inference about what the likely range of values in the true population mean.<\/p>\r\n<section class=\"textbox example\">[reveal-answer q=\"811563\"]See the example question[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"811563\"][ohm2_question hide_question_numbers=1]1185[\/ohm2_question][\/hidden-answer]<br \/>\r\n[videopicker divId=\"tnh-video-picker\" title=\"Understand Range and Standard Deviation as Measures of Variability\" label=\"Select Instructor\"]<br \/>\r\n[videooption displayName=\"Dr. Pamela E. Harris\" value=\"https:\/\/www.youtube.com\/watch?v=xqaMuwJG9uY\"][videooption displayName=\"Dr. Aris Winger\" value=\"https:\/\/www.youtube.com\/watch?v=lNtBY-XmJYA\"] [videooption displayName=\"Dr. Lane Fisher\" value=\"https:\/\/www.youtube.com\/watch?v=ADrlAc0kOLA\"]<br \/>\r\n[\/videopicker]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Describe the differences in variability in histograms and dotplots.<\/li>\n<li>Calculate and describe standard deviation.<\/li>\n<\/ul>\n<\/section>\n<h2>Standard Deviation using Technology<\/h2>\n<p>Let&#8217;s use the statistical software to calculate standard deviation.<\/p>\n<section class=\"textbox interact\">In the Describing and Exploring Quantitative Variable Statistical tool below:<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong> Select the <strong>Single Group<\/strong>\u00a0tab.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 2:<\/strong> Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>From Textbook<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 3:<\/strong> Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Sleep Study: Average Sleep<\/strong>.<\/p>\n<p>Recall: The sleep study data set investigated whether college students&#8217; chronotypes tend to be larks (morning people) or owls (night people).<\/p>\n<\/section>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>[<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 tryIt\"><iframe loading=\"lazy\" id=\"ohm2122\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2122&theme=lumen&iframe_resize_id=ohm2122&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2123\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2123&theme=lumen&iframe_resize_id=ohm2123&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2124\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2124&theme=lumen&iframe_resize_id=ohm2124&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>The larger the value of the standard deviation of the data set, the larger the variability. The smaller the value of the standard deviation, the smaller variability that exists. Because standard deviation is an indication of how reliable our data set is, it helps us to make an inference about what the likely range of values in the true population mean.<\/p>\n<section class=\"textbox example\">\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q811563\">See the example question<\/button><\/p>\n<div id=\"q811563\" class=\"hidden-answer\" style=\"display: none\"><iframe loading=\"lazy\" id=\"ohm1185\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1185&theme=lumen&iframe_resize_id=ohm1185&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/div>\n<\/div>\n<div class=\"wp-nocaption \"><\/div>\n<div id=\"tnh-video-picker\" class=\"videoPicker\">\n<h3>Understand Range and Standard Deviation as Measures of Variability<\/h3>\n<form><label>Select Instructor:<\/label><select name=\"video\"><option value=\"https:\/\/www.youtube.com\/embed\/xqaMuwJG9uY\">Dr. Pamela E. Harris<\/option><option value=\"https:\/\/www.youtube.com\/embed\/lNtBY-XmJYA\">Dr. Aris Winger<\/option><option value=\"https:\/\/www.youtube.com\/embed\/ADrlAc0kOLA\">Dr. Lane Fisher<\/option><\/select><\/form>\n<div class=\"videoContainer\"><iframe src=\"https:\/\/www.youtube.com\/embed\/xqaMuwJG9uY\" allowfullscreen><\/iframe><\/div>\n<\/section>\n","protected":false},"author":13,"menu_order":32,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":834,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":[{"divId":"tnh-video-picker","title":"Understand Range and Standard Deviation as Measures of Variability","label":"Select Instructor","video_collection":[{"displayName":"Dr. Pamela E. Harris","value":"https:\/\/www.youtube.com\/embed\/xqaMuwJG9uY"},{"displayName":"Dr. Aris Winger","value":"https:\/\/www.youtube.com\/embed\/lNtBY-XmJYA"},{"displayName":"Dr. Lane Fisher","value":"https:\/\/www.youtube.com\/embed\/ADrlAc0kOLA"}]}],"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/881"}],"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\/13"}],"version-history":[{"count":11,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/881\/revisions"}],"predecessor-version":[{"id":5716,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/881\/revisions\/5716"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/834"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/881\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=881"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=881"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=881"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=881"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}