{"id":227404,"date":"2025-06-06T05:59:28","date_gmt":"2025-06-06T05:59:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227404"},"modified":"2025-06-06T05:59:30","modified_gmt":"2025-06-06T05:59:30","slug":"karl-records-the-number-of-city-blocks-from-his-house-to-each-of-his-friends-houses-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/karl-records-the-number-of-city-blocks-from-his-house-to-each-of-his-friends-houses-2\/","title":{"rendered":"Karl records the number of city blocks from his house to each of his friends&#8217; houses."},"content":{"rendered":"\n<p>Karl records the number of city blocks from his house to each of his friends&#8217; houses. Which statement is supported by the data? Number of City Blocks to Eight Friends&#8217; Houses 1, 2, 5, 3, 2, 2, 5, 3 The minimum distance from Karl&#8217;s house to a friend&#8217;s is 2 blocks. The maximum number of blocks the friends live from each other is 4. The mean distance to his friends&#8217; houses is between 2 and 3 blocks. The mode shows that Karl has 3 friends who live 3 blocks from him.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br><strong>The mean distance to his friends&#8217; houses is between 2 and 3 blocks.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation (300 words):<\/strong><\/p>\n\n\n\n<p>To determine which statement is best supported by the data, let\u2019s analyze the distances Karl recorded:<\/p>\n\n\n\n<p><strong>Given distances to eight friends&#8217; houses:<\/strong><br>1, 2, 5, 3, 2, 2, 5, 3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Minimum Distance<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The smallest number is <strong>1<\/strong>, so <strong>the minimum distance is 1 block<\/strong>, not 2.<br>\ud83d\udd34 <strong>So, the first statement is incorrect.<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Maximum Distance Between Friends<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>maximum distance between any two friends<\/strong> is the difference between the largest and smallest distances:<br>5\u22121=45 &#8211; 1 = 45\u22121=4<br>\u2705 So, <strong>the second statement is technically correct<\/strong>, but let\u2019s compare it with the third option.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Mean (Average) Distance<\/h3>\n\n\n\n<p>To calculate the mean:Mean=1+2+5+3+2+2+5+38=238=2.875\\text{Mean} = \\frac{1 + 2 + 5 + 3 + 2 + 2 + 5 + 3}{8} = \\frac{23}{8} = 2.875Mean=81+2+5+3+2+2+5+3\u200b=823\u200b=2.875<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Since 2.875 is <strong>between 2 and 3<\/strong>,<br>\u2705 the <strong>third statement is also correct<\/strong> and more informative than the second.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Mode<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number 2 appears 3 times,<\/li>\n\n\n\n<li>3 appears 2 times,<br>\ud83d\udd34 So, <strong>the mode is 2, not 3<\/strong>, and <strong>Karl has 3 friends living 2 blocks away<\/strong>, not 3 blocks away.<br><strong>The fourth statement is incorrect.<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Evaluation:<\/h3>\n\n\n\n<p>Although both the second and third statements are technically correct, the <strong>third statement is more directly supported<\/strong> by the data and provides a more meaningful summary of the overall distribution. The mean gives a reliable measure of central tendency, and it is clearly calculated to be between 2 and 3 blocks.<\/p>\n\n\n\n<p>\u2705 <strong>Thus, the best-supported statement is:<\/strong><br><strong>&#8220;The mean distance to his friends&#8217; houses is between 2 and 3 blocks.&#8221;<\/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\/06\/learnexams-banner8-69.jpeg\" alt=\"\" class=\"wp-image-227405\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Karl records the number of city blocks from his house to each of his friends&#8217; houses. Which statement is supported by the data? Number of City Blocks to Eight Friends&#8217; Houses 1, 2, 5, 3, 2, 2, 5, 3 The minimum distance from Karl&#8217;s house to a friend&#8217;s is 2 blocks. The maximum number of [&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-227404","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227404","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=227404"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227404\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}