{"id":218545,"date":"2025-05-24T04:16:10","date_gmt":"2025-05-24T04:16:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=218545"},"modified":"2025-05-24T04:16:12","modified_gmt":"2025-05-24T04:16:12","slug":"relative-frequency-distribution-after-constructing-a-relative-frequency-distribution-summarizing-iq-scores-of-college-students","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/24\/relative-frequency-distribution-after-constructing-a-relative-frequency-distribution-summarizing-iq-scores-of-college-students\/","title":{"rendered":"Relative Frequency Distribution After constructing a relative frequency distribution summarizing IQ scores of college students"},"content":{"rendered":"\n<p>Relative Frequency Distribution After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The <strong>correct answer<\/strong> is:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<p>A <strong>relative frequency distribution<\/strong> is a statistical tool used to show how often each value or range of values occurs in a dataset <strong>relative to the total number of observations<\/strong>. In simpler terms, it expresses the frequency of each class as a fraction or percentage of the total.<\/p>\n\n\n\n<p>When you construct a relative frequency distribution for IQ scores (or any data set), each class or group (e.g., 90\u201399, 100\u2013109, etc.) will have a <strong>relative frequency<\/strong>, which is calculated using the formula: Relative&nbsp;Frequency=Class&nbsp;FrequencyTotal&nbsp;Frequency&nbsp;(or&nbsp;sample&nbsp;size)\\text{Relative Frequency} = \\frac{\\text{Class Frequency}}{\\text{Total Frequency (or sample size)}}<\/p>\n\n\n\n<p>Each relative frequency represents the <strong>proportion<\/strong> of the total observations that fall within a particular class. If you add up the relative frequencies of all the classes, you\u2019re effectively counting the entire data set \u2014 just not in raw counts, but in <strong>proportions<\/strong>.<\/p>\n\n\n\n<p>Therefore, the <strong>sum of all relative frequencies must equal 1 (or 100%)<\/strong>, because all data points must be accounted for in the distribution. This rule ensures that your distribution is complete and correctly reflects the entire dataset.<\/p>\n\n\n\n<p>For example, if you have 100 students and you calculate the relative frequencies of IQ scores in different intervals, you might get the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>80\u201389: 0.10<\/li>\n\n\n\n<li>90\u201399: 0.25<\/li>\n\n\n\n<li>100\u2013109: 0.40<\/li>\n\n\n\n<li>110\u2013119: 0.15<\/li>\n\n\n\n<li>120\u2013129: 0.10<\/li>\n<\/ul>\n\n\n\n<p>Adding these together:<br>0.10 + 0.25 + 0.40 + 0.15 + 0.10 = <strong>1.00<\/strong><\/p>\n\n\n\n<p>This confirms that the entire sample has been represented, and no data is missing or double-counted.<\/p>\n\n\n\n<p>In conclusion, when constructing a relative frequency distribution of IQ scores, the <strong>sum of the relative frequencies should always be 1 (or 100%)<\/strong>, ensuring that the entire population or sample is accurately represented.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/image-274.png\" alt=\"\" class=\"wp-image-218546\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Relative Frequency Distribution After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies? The Correct Answer and Explanation is: The correct answer is: A relative frequency distribution is a statistical tool used to show how often each value or range of values occurs in [&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-218545","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218545","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=218545"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218545\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=218545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=218545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=218545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}