{"id":510,"date":"2022-07-11T19:47:15","date_gmt":"2022-07-11T19:47:15","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/?post_type=chapter&#038;p=510"},"modified":"2022-07-11T19:47:16","modified_gmt":"2022-07-11T19:47:16","slug":"z-score-and-the-empirical-rule-learn-it-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/z-score-and-the-empirical-rule-learn-it-2\/","title":{"raw":"Z-Score and the Empirical Rule: Learn It 2","rendered":"Z-Score and the Empirical Rule: Learn It 2"},"content":{"raw":"Now it's your turn to try. Let's load the Movie Runtime data set in the technology to calculate the standard deviation of a data set and then convert values to standardized scores by hand.\r\n<div class=\"textbox\">\r\n\r\nGo to the Describing and Exploring Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\" target=\"_blank\" rel=\"noopener\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a>.\r\n<p style=\"text-align: left; padding-left: 30px;\">Step 1) Select the<strong> Single Group<\/strong> tab.<\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\">Step 2) Locate the dropdown under <strong>Enter Data<\/strong> and select <strong>From Textbook<\/strong>.<\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\">Step 3) Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Movie Runtime (G Rated 1990-2016)<\/strong>.<\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\">Step 4) Under <strong>Choose Type of Plot<\/strong>, select the options to create a <strong>Histogram<\/strong> and a <strong>Dotplot<\/strong> of runtime (in minutes).<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 1<\/h3>\r\n[ohm_question hide_question_numbers=1]241207[\/ohm_question]\r\n\r\n[reveal-answer q=\"279127\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"279127\"]Recall the characteristics used to describe the shape of a distribution.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 2<\/h3>\r\n[ohm_question hide_question_numbers=1]241208[\/ohm_question]\r\n\r\n[reveal-answer q=\"256092\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"256092\"]Look under Descriptive Statistics in the tool[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 3<\/h3>\r\n[ohm_question hide_question_numbers=1]241209[\/ohm_question]\r\n\r\n[reveal-answer q=\"733914\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"733914\"]Look under Descriptive Statistics in the tool[\/hidden-answer]\r\n\r\n<\/div>\r\nUse the mean and the standard deviation you entered in Questions 2 and 3 to answer the following questions.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 4<\/h3>\r\n[ohm_question hide_question_numbers=1]241210[\/ohm_question]\r\n[reveal-answer q=\"577093\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"577093\"]Use the process in the interactive example above to calculate these values.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 5<\/h3>\r\n[ohm_question hide_question_numbers=1]241211[\/ohm_question]\r\n\r\n[reveal-answer q=\"147907\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"147907\"]Use the process in the interactive example above to calculate these values.[\/hidden-answer]\r\n\r\n<\/div>","rendered":"<p>Now it&#8217;s your turn to try. Let&#8217;s load the Movie Runtime data set in the technology to calculate the standard deviation of a data set and then convert values to standardized scores by hand.<\/p>\n<div class=\"textbox\">\n<p>Go to the Describing and Exploring Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\" target=\"_blank\" rel=\"noopener\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a>.<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">Step 1) Select the<strong> Single Group<\/strong> tab.<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">Step 2) Locate the dropdown under <strong>Enter Data<\/strong> and select <strong>From Textbook<\/strong>.<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">Step 3) Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Movie Runtime (G Rated 1990-2016)<\/strong>.<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">Step 4) Under <strong>Choose Type of Plot<\/strong>, select the options to create a <strong>Histogram<\/strong> and a <strong>Dotplot<\/strong> of runtime (in minutes).<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 1<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241207\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241207&theme=oea&iframe_resize_id=ohm241207\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q279127\">Hint<\/span><\/p>\n<div id=\"q279127\" class=\"hidden-answer\" style=\"display: none\">Recall the characteristics used to describe the shape of a distribution.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 2<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241208\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241208&theme=oea&iframe_resize_id=ohm241208\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q256092\">Hint<\/span><\/p>\n<div id=\"q256092\" class=\"hidden-answer\" style=\"display: none\">Look under Descriptive Statistics in the tool<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 3<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241209\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241209&theme=oea&iframe_resize_id=ohm241209\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q733914\">Hint<\/span><\/p>\n<div id=\"q733914\" class=\"hidden-answer\" style=\"display: none\">Look under Descriptive Statistics in the tool<\/div>\n<\/div>\n<\/div>\n<p>Use the mean and the standard deviation you entered in Questions 2 and 3 to answer the following questions.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 4<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241210\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241210&theme=oea&iframe_resize_id=ohm241210\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q577093\">Hint<\/span><\/p>\n<div id=\"q577093\" class=\"hidden-answer\" style=\"display: none\">Use the process in the interactive example above to calculate these values.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 5<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241211\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241211&theme=oea&iframe_resize_id=ohm241211\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q147907\">Hint<\/span><\/p>\n<div id=\"q147907\" class=\"hidden-answer\" style=\"display: none\">Use the process in the interactive example above to calculate these values.<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":17533,"menu_order":50,"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-510","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/510","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":1,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/510\/revisions"}],"predecessor-version":[{"id":516,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/510\/revisions\/516"}],"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\/510\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=510"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=510"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=510"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}