{"id":805,"date":"2021-08-16T17:01:31","date_gmt":"2021-08-16T17:01:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=805"},"modified":"2023-12-05T08:56:50","modified_gmt":"2023-12-05T08:56:50","slug":"summary-measures-of-the-center-of-data","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/summary-measures-of-the-center-of-data\/","title":{"raw":"Summary: Measures of the Center of Data","rendered":"Summary: Measures of the Center of Data"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The mean, median, and mode are measures of center for a data set.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">If a distribution has extreme values or outliers, the median is a better measure of center.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">If a distribution is of categorical data, only the mode can be calculated.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>mean:<\/strong> a number that measures the central tendency of the data; a common name for mean is \"average.\" The sample mean is written as [latex]\\overline{x}[\/latex] and the population mean is written as [latex]\\mu[\/latex].\r\n\r\n<strong>median:\u00a0<\/strong>a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median. The median may or may not be part of the data.\r\n\r\n<strong>midpoint:\u00a0<\/strong>the mean of an interval in a frequency table\r\n\r\n<strong>mode:\u00a0<\/strong>the value that appears most frequently in a set of data\r\n\r\n<strong>statistic:\u00a0<\/strong>a value calculated from a sample. The sample mean is written as [latex]\\overline{x}[\/latex].","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The mean, median, and mode are measures of center for a data set.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">If a distribution has extreme values or outliers, the median is a better measure of center.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">If a distribution is of categorical data, only the mode can be calculated.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>mean:<\/strong> a number that measures the central tendency of the data; a common name for mean is &#8220;average.&#8221; The sample mean is written as [latex]\\overline{x}[\/latex] and the population mean is written as [latex]\\mu[\/latex].<\/p>\n<p><strong>median:\u00a0<\/strong>a number that separates ordered data into halves; half the values are the same number or smaller than the median, and half the values are the same number or larger than the median. The median may or may not be part of the data.<\/p>\n<p><strong>midpoint:\u00a0<\/strong>the mean of an interval in a frequency table<\/p>\n<p><strong>mode:\u00a0<\/strong>the value that appears most frequently in a set of data<\/p>\n<p><strong>statistic:\u00a0<\/strong>a value calculated from a sample. The sample mean is written as [latex]\\overline{x}[\/latex].<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-805\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Introductory Statistics. <strong>Authored by<\/strong>: Barbara Illowsky, Susan Dean. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-key-terms\">https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-key-terms<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":29,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Introductory Statistics\",\"author\":\"Barbara Illowsky, Susan Dean\",\"organization\":\"OpenStax\",\"url\":\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-key-terms\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction\"},{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-805","chapter","type-chapter","status-publish","hentry"],"part":31,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/805","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/805\/revisions"}],"predecessor-version":[{"id":3406,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/805\/revisions\/3406"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/31"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/805\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=805"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=805"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=805"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}