{"id":166011,"date":"2024-11-13T08:27:34","date_gmt":"2024-11-13T08:27:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=166011"},"modified":"2024-11-13T08:27:36","modified_gmt":"2024-11-13T08:27:36","slug":"what-is-the-range-of-this-set-of-data","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/13\/what-is-the-range-of-this-set-of-data\/","title":{"rendered":"What is the range of this set of data"},"content":{"rendered":"\n<p>What is the range of this set of data? 111, 97, 63, 84, 100, 119, 72<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>range<\/strong> of a set of data, we use the formula:<\/p>\n\n\n\n<p>[<br>\\text{Range} = \\text{Maximum value} &#8211; \\text{Minimum value}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the Maximum and Minimum Values<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The data set is: <strong>111, 97, 63, 84, 100, 119, 72<\/strong><\/li>\n\n\n\n<li>First, arrange the data in <strong>ascending order<\/strong>: [<br>63, 72, 84, 97, 100, 111, 119<br>]<\/li>\n\n\n\n<li>The <strong>maximum value<\/strong> is the largest number in the set, which is <strong>119<\/strong>.<\/li>\n\n\n\n<li>The <strong>minimum value<\/strong> is the smallest number in the set, which is <strong>63<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Range<\/h3>\n\n\n\n<p>Now that we know the maximum and minimum values, we can subtract the minimum value from the maximum value to find the range:<\/p>\n\n\n\n<p>[<br>\\text{Range} = 119 &#8211; 63 = 56<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The <strong>range<\/strong> of the data set is <strong>56<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Range:<\/h3>\n\n\n\n<p>The range of a data set represents the difference between the highest and lowest values, giving an indication of how spread out the values are. A larger range suggests that the data is more spread out, while a smaller range indicates that the values are more concentrated around the center.<\/p>\n\n\n\n<p>In this case, the range of <strong>56<\/strong> shows that the data points vary significantly. The smallest value, <strong>63<\/strong>, and the largest value, <strong>119<\/strong>, are quite far apart, suggesting a moderate spread in the data set.<\/p>\n\n\n\n<p>The range is a simple measure of variability but does not tell us anything about the distribution or any potential outliers beyond the extreme values. For more detailed insights, other statistical measures such as the <strong>interquartile range<\/strong> or <strong>standard deviation<\/strong> could be used to describe the spread and variability of the data more precisely.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the range of this set of data? 111, 97, 63, 84, 100, 119, 72 The Correct Answer and Explanation is: To find the range of a set of data, we use the formula: [\\text{Range} = \\text{Maximum value} &#8211; \\text{Minimum value}] Step 1: Identify the Maximum and Minimum Values Step 2: Calculate the Range [&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-166011","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166011","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=166011"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166011\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}