{"id":88,"date":"2021-08-29T19:51:26","date_gmt":"2021-08-29T19:51:26","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=88"},"modified":"2022-02-02T21:16:54","modified_gmt":"2022-02-02T21:16:54","slug":"summary-of-exploring-measures-of-variability","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/summary-of-exploring-measures-of-variability\/","title":{"raw":"Summary of Applications of Bar Graphs: 3B","rendered":"Summary of Applications of Bar Graphs: 3B"},"content":{"raw":"This page would contain resource information like a glossary of terms from the section, key equations, and a reminder of concepts that were covered.\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Essential Concepts<\/h3>\r\n<ul>\r\n \t<li>Pie charts are useful for showing percentages (parts of a whole) at some particular instance in time.<\/li>\r\n \t<li>Contingency tables\u00a0(two-way tables) can be used to create stacked and side-by-side bar charts. This is beneficial as a contingency table does not present a strong visual comparison between groups.<\/li>\r\n \t<li>Technology is most helpful in studying and comparing the distributions of categorical variables for different populations or groups.<\/li>\r\n \t<li>Statistical questions about different populations or groups are answered by using stacked and side-by-side bar charts to compare data distributions.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2>Key Equations<\/h2>\r\n<ul>\r\n \t<li><strong>Relative change<\/strong><\/li>\r\n<\/ul>\r\n<p style=\"padding-left: 30px;\">\u00a0 C =[latex]\\dfrac{\\lvert x_{2} - x_{1} \\rvert}{x_{1}}[\/latex], where C is the relative change, x<sub>1<\/sub> is the initial value, and x<sub>2<\/sub> is the final value.<\/p>\r\n\r\n<h2>Glossary<\/h2>\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>stacked bar chart<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">a chart in which two different categorical variables are compared in bars that are stacked on top of one another.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>side-by-side bar chart<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">a chart in which two different categorical variables are compared in bars that are placed beside one another.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>contingency table (two-way table)<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">a table that displays the results of two categorical variables simultaneously.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482619\" class=\"definition\">\r\n \t<dt>variable of interest<\/dt>\r\n \t<dd id=\"fs-id1170572482624\">a measurable variable that changes in an experimental observation.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>group of interest<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">the group from which data is collected. This can sometimes be referred to as the sample.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>population<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">the entire group of individuals from which information is collected.<\/dd>\r\n<\/dl>\r\nPut formal DCMP I Can statements to prepare for the self-check.\r\n\r\n<span style=\"background-color: #ffff00;\">These I Can Statements are new (the first one is the \"you will understand\" rephrased as an I Can):<\/span>\r\n<ul>\r\n \t<li>I can use tools in studying and comparing the distributions of categorical variables for different populations or groups.<\/li>\r\n \t<li>I can use technology to create stacked and side-by-side bar charts from two-way tables.<\/li>\r\n \t<li>I can use technology to create stacked and side-by-side bar charts from datasets.<\/li>\r\n \t<li>I can use stacked and side-by-side bar charts to compare and answer statistical questions about different populations or groups.<\/li>\r\n<\/ul>","rendered":"<p>This page would contain resource information like a glossary of terms from the section, key equations, and a reminder of concepts that were covered.<\/p>\n<div class=\"textbox learning-objectives\">\n<h3>Essential Concepts<\/h3>\n<ul>\n<li>Pie charts are useful for showing percentages (parts of a whole) at some particular instance in time.<\/li>\n<li>Contingency tables\u00a0(two-way tables) can be used to create stacked and side-by-side bar charts. This is beneficial as a contingency table does not present a strong visual comparison between groups.<\/li>\n<li>Technology is most helpful in studying and comparing the distributions of categorical variables for different populations or groups.<\/li>\n<li>Statistical questions about different populations or groups are answered by using stacked and side-by-side bar charts to compare data distributions.<\/li>\n<\/ul>\n<\/div>\n<h2>Key Equations<\/h2>\n<ul>\n<li><strong>Relative change<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 30px;\">\u00a0 C =[latex]\\dfrac{\\lvert x_{2} - x_{1} \\rvert}{x_{1}}[\/latex], where C is the relative change, x<sub>1<\/sub> is the initial value, and x<sub>2<\/sub> is the final value.<\/p>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>stacked bar chart<\/dt>\n<dd id=\"fs-id1170572229174\">a chart in which two different categorical variables are compared in bars that are stacked on top of one another.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>side-by-side bar chart<\/dt>\n<dd id=\"fs-id1170572229195\">a chart in which two different categorical variables are compared in bars that are placed beside one another.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>contingency table (two-way table)<\/dt>\n<dd id=\"fs-id1170572482614\">a table that displays the results of two categorical variables simultaneously.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482619\" class=\"definition\">\n<dt>variable of interest<\/dt>\n<dd id=\"fs-id1170572482624\">a measurable variable that changes in an experimental observation.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>group of interest<\/dt>\n<dd id=\"fs-id1170572482689\">the group from which data is collected. This can sometimes be referred to as the sample.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>population<\/dt>\n<dd id=\"fs-id1170572482689\">the entire group of individuals from which information is collected.<\/dd>\n<\/dl>\n<p>Put formal DCMP I Can statements to prepare for the self-check.<\/p>\n<p><span style=\"background-color: #ffff00;\">These I Can Statements are new (the first one is the &#8220;you will understand&#8221; rephrased as an I Can):<\/span><\/p>\n<ul>\n<li>I can use tools in studying and comparing the distributions of categorical variables for different populations or groups.<\/li>\n<li>I can use technology to create stacked and side-by-side bar charts from two-way tables.<\/li>\n<li>I can use technology to create stacked and side-by-side bar charts from datasets.<\/li>\n<li>I can use stacked and side-by-side bar charts to compare and answer statistical questions about different populations or groups.<\/li>\n<\/ul>\n","protected":false},"author":17533,"menu_order":13,"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-88","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/88","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":18,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/88\/revisions"}],"predecessor-version":[{"id":2735,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/88\/revisions\/2735"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/88\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=88"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=88"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=88"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=88"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}