{"id":227400,"date":"2025-06-06T05:56:37","date_gmt":"2025-06-06T05:56:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227400"},"modified":"2025-06-06T05:56:39","modified_gmt":"2025-06-06T05:56:39","slug":"karl-records-the-number-of-city-blocks-from-his-house-to-each-of-his-friends-houses","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\/","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 mode shows that Karl has 3 friends who live 3 blocks from him. The mean distance to his friends&#8217; houses is between 2 and 3 blocks. 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.<br>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 mode shows that Karl has 3 friends who live 3 blocks from him. The mean distance to his friends&#8217; houses is between 2 and 3 blocks. 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.<\/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><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<h3 class=\"wp-block-heading\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>Karl has recorded the distances from his house to eight of his friends&#8217; houses in city blocks:<br><strong>1, 2, 5, 3, 2, 2, 5, 3<\/strong><\/p>\n\n\n\n<p>Let\u2019s evaluate the given choices one by one using this data:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1. \u201cThe mode shows that Karl has 3 friends who live 3 blocks from him.\u201d<\/strong><\/h4>\n\n\n\n<p>The mode is the number that appears <strong>most frequently<\/strong> in a data set.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Frequencies:\n<ul class=\"wp-block-list\">\n<li>1 occurs once<\/li>\n\n\n\n<li>2 occurs <strong>three times<\/strong><\/li>\n\n\n\n<li>3 occurs <strong>two times<\/strong><\/li>\n\n\n\n<li>5 occurs <strong>two times<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>So, the <strong>mode is 2<\/strong>, not 3.<br>\u2705 <strong>This statement is not supported by the data.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>2. \u201cThe mean distance to his friends&#8217; houses is between 2 and 3 blocks.\u201d<\/strong><\/h4>\n\n\n\n<p>To find the <strong>mean<\/strong>, add all the numbers and divide by how many there are.<\/p>\n\n\n\n<p>Sum: 1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = <strong>23<\/strong><br>Number of data points: <strong>8<\/strong><br>Mean = 23 \u00f7 8 = <strong>2.875<\/strong><\/p>\n\n\n\n<p>Since <strong>2.875<\/strong> is between <strong>2 and 3<\/strong>,<br>\u2705 <strong>This statement is correct and supported by the data.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>3. \u201cThe minimum distance from Karl&#8217;s house to a friend&#8217;s is 2 blocks.\u201d<\/strong><\/h4>\n\n\n\n<p>Check the smallest number in the list: <strong>1<\/strong><br>\u2705 <strong>This statement is not supported by the data.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>4. \u201cThe maximum number of blocks the friends live from each other is 4.\u201d<\/strong><\/h4>\n\n\n\n<p>This seems to be referring to the <strong>range<\/strong>:<br>Max: 5, Min: 1 \u2192 5 &#8211; 1 = <strong>4<\/strong><br>So, technically this statement is <strong>true<\/strong>, but it&#8217;s <strong>confusingly worded<\/strong>, as it sounds like it&#8217;s comparing friends&#8217; distances from each other, not from Karl.<\/p>\n\n\n\n<p>Because the most <strong>clearly accurate and well-stated<\/strong> choice is about the <strong>mean<\/strong>,<br>\u2705 <strong>the correct and best-supported answer is:<\/strong><br><strong>\u201cThe mean distance to his friends&#8217; houses is between 2 and 3 blocks.\u201d<\/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-banner9-78.jpeg\" alt=\"\" class=\"wp-image-227401\"\/><\/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 mode shows that Karl has 3 friends who live 3 blocks from him. The mean [&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-227400","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227400","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=227400"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227400\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227400"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227400"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227400"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}