{"id":205498,"date":"2025-03-24T17:03:07","date_gmt":"2025-03-24T17:03:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205498"},"modified":"2025-03-24T17:03:10","modified_gmt":"2025-03-24T17:03:10","slug":"xplain-which-of-the-following-is-a-statistic-and-which-is-a-parameter","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/24\/xplain-which-of-the-following-is-a-statistic-and-which-is-a-parameter\/","title":{"rendered":"xplain which of the following is a statistic and which is a parameter"},"content":{"rendered":"\n<p>xplain which of the following is a statistic and which is a parameter.<\/p>\n\n\n\n<p>a. The mean age of Americans from the 2020 decennial census<\/p>\n\n\n\n<p>b. The unemployment rate for the population of U.S. adults, estimated by the government from a large sample<\/p>\n\n\n\n<p>c. The percentage of students at your school who receive an athletic scholarship<\/p>\n\n\n\n<p>d. The percentage of Arizonans opposed to increasing border control from a poll of 1,000 residents<\/p>\n\n\n\n<p>e. The mean salaries of employees at your school (e.g., administrators, faculty, maintenance)<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s go through each item and define whether it is a <strong>statistic<\/strong> or a <strong>parameter<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">a. <strong>The mean age of Americans from the 2020 decennial census<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parameter<\/strong><br>Explanation: A parameter is a numerical value that describes a characteristic of the entire population. Since the 2020 decennial census included every individual in the United States (the entire population), the mean age of all Americans is a <strong>parameter<\/strong>. The data collected directly from the whole population is considered a parameter because it accurately describes the population.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">b. <strong>The unemployment rate for the population of U.S. adults, estimated by the government from a large sample<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Statistic<\/strong><br>Explanation: A statistic is a numerical value that describes a characteristic of a sample, not the entire population. In this case, the unemployment rate is estimated from a sample of U.S. adults, meaning the data is based on a subset of the population, not the entire population. Therefore, this is a <strong>statistic<\/strong> because it represents an estimate based on a sample.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">c. <strong>The percentage of students at your school who receive an athletic scholarship<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parameter<\/strong> (if referring to the entire student body)<br>Explanation: If the percentage is calculated using data from <strong>all students<\/strong> at your school (the entire population), it is a <strong>parameter<\/strong> because it describes a characteristic of the entire population. If, however, it is based on a subset or sample of students, it would be a <strong>statistic<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">d. <strong>The percentage of Arizonans opposed to increasing border control from a poll of 1,000 residents<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Statistic<\/strong><br>Explanation: This is a <strong>statistic<\/strong> because it is derived from a sample of 1,000 Arizonans. A statistic describes a characteristic of a sample, and since only 1,000 residents are surveyed (a sample, not the entire population of Arizona), it represents a <strong>statistic<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">e. <strong>The mean salaries of employees at your school (e.g., administrators, faculty, maintenance)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parameter<\/strong> (if referring to all employees)<br>Explanation: If the mean salary is calculated using data from <strong>all employees<\/strong> at your school, then it is a <strong>parameter<\/strong> because it describes the entire population of employees. If it is based on a sample of employees, then it would be a <strong>statistic<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Key Differences:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parameter<\/strong>: Describes a characteristic of an entire population (i.e., the full group you&#8217;re studying).<\/li>\n\n\n\n<li><strong>Statistic<\/strong>: Describes a characteristic of a sample, which is only a subset of the population.<\/li>\n<\/ul>\n\n\n\n<p>In summary, anything that pertains to the entire population (such as the census data or full salary data) is a <strong>parameter<\/strong>, while anything derived from a sample (such as a poll or a sample-based estimate) is a <strong>statistic<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1324.png\" alt=\"\" class=\"wp-image-205499\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>xplain which of the following is a statistic and which is a parameter. a. The mean age of Americans from the 2020 decennial census b. The unemployment rate for the population of U.S. adults, estimated by the government from a large sample c. The percentage of students at your school who receive an athletic scholarship [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-205498","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205498","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=205498"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205498\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}