{"id":887,"date":"2023-03-20T19:18:01","date_gmt":"2023-03-20T19:18:01","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-variability-of-data-sets-apply-it-3\/"},"modified":"2025-05-11T22:46:24","modified_gmt":"2025-05-11T22:46:24","slug":"comparing-variability-of-data-sets-apply-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-variability-of-data-sets-apply-it-3\/","title":{"raw":"Measures of Variability: Apply It 3","rendered":"Measures of Variability: Apply It 3"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Describe the differences in variability in histograms and dotplots.\u00a0<\/li>\r\n\t<li>Calculate and describe standard deviation.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2 id=\"IntStdDev\">Standard Deviation<\/h2>\r\n<p>Now, let\u2019s explore the impact of extreme values, or outliers, on the variability of the G-rated movies.<\/p>\r\n<p>As determined in the previous questions, there is a single data point that is an outlier for this data set: The one G-rated movie that has a runtime of [latex]357[\/latex] minutes!<\/p>\r\n<section class=\"textbox interact\">\r\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong> Select the <strong>Several Groups<\/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>\u00a0and select <strong>Movie Run Time<\/strong>.<\/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><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 interact\" style=\"padding-left: 40px;\">Let's remove the outlier from the statistical calculations and graphs.<br \/>\r\n<strong><br \/>\r\nStep 1: <\/strong>Go to the list of G-rated movie run times<br \/>\r\n<strong>Step 2<\/strong><strong>:<\/strong> Locate, select, and remove (delete) the point [latex]357[\/latex] from the list. The Descriptive Statistics section will automatically update based on your new data set that excludes the outlier.<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2131[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2132[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2133[\/ohm2_question]<\/section>\r\n<section>\r\n<section class=\"textbox proTip\">The standard deviation will always include all data values from the data set. We may remove an outlier and recalculate to see the effect of the outlier on the measures of center and spread, but these do not reflect the true mean and standard deviation for the data set.<\/section>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Describe the differences in variability in histograms and dotplots.\u00a0<\/li>\n<li>Calculate and describe standard deviation.<\/li>\n<\/ul>\n<\/section>\n<h2 id=\"IntStdDev\">Standard Deviation<\/h2>\n<p>Now, let\u2019s explore the impact of extreme values, or outliers, on the variability of the G-rated movies.<\/p>\n<p>As determined in the previous questions, there is a single data point that is an outlier for this data set: The one G-rated movie that has a runtime of [latex]357[\/latex] minutes!<\/p>\n<section class=\"textbox interact\">\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong> Select the <strong>Several Groups<\/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>\u00a0and select <strong>Movie Run Time<\/strong>.<\/p>\n<\/section>\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 interact\" style=\"padding-left: 40px;\">Let&#8217;s remove the outlier from the statistical calculations and graphs.<br \/>\n<strong><br \/>\nStep 1: <\/strong>Go to the list of G-rated movie run times<br \/>\n<strong>Step 2<\/strong><strong>:<\/strong> Locate, select, and remove (delete) the point [latex]357[\/latex] from the list. The Descriptive Statistics section will automatically update based on your new data set that excludes the outlier.<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2131\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2131&theme=lumen&iframe_resize_id=ohm2131&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2132\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2132&theme=lumen&iframe_resize_id=ohm2132&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2133\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2133&theme=lumen&iframe_resize_id=ohm2133&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section>\n<section class=\"textbox proTip\">The standard deviation will always include all data values from the data set. We may remove an outlier and recalculate to see the effect of the outlier on the measures of center and spread, but these do not reflect the true mean and standard deviation for the data set.<\/section>\n<\/section>\n","protected":false},"author":13,"menu_order":37,"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":"apply_it","content_attributions":[],"internal_book_links":[],"video_content":null,"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\/887"}],"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":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/887\/revisions"}],"predecessor-version":[{"id":6637,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/887\/revisions\/6637"}],"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\/887\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=887"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=887"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=887"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}