{"id":195366,"date":"2025-02-28T07:47:51","date_gmt":"2025-02-28T07:47:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=195366"},"modified":"2025-02-28T07:47:54","modified_gmt":"2025-02-28T07:47:54","slug":"the-weight-of-6-students-in-kg-are-14-2628-20-35-30","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/28\/the-weight-of-6-students-in-kg-are-14-2628-20-35-30\/","title":{"rendered":"The weight of 6 students (in kg) are 14, 26,28, 20, 35, 30"},"content":{"rendered":"\n<p>The weight of 6 students (in kg) are 14, 26,28, 20, 35, 30. find the median weight ?<\/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>To find the <strong>median weight<\/strong> of the six students, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Arrange the Weights in Ascending Order<\/h3>\n\n\n\n<p>The given weights are:<br><strong>14, 26, 28, 20, 35, 30<\/strong><\/p>\n\n\n\n<p>Arranging them in increasing order:<br><strong>14, 20, 26, 28, 30, 35<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the Median<\/h3>\n\n\n\n<p>The median is the <strong>middle value<\/strong> of an ordered dataset. Since there are <strong>6 numbers<\/strong> (even count), the median is found by averaging the <strong>3rd and 4th values<\/strong>:<\/p>\n\n\n\n<p>[<br>\\text{Median} = \\frac{\\text{3rd value} + \\text{4th value}}{2}<br>]<\/p>\n\n\n\n<p>[<br>= \\frac{26 + 28}{2}<br>]<\/p>\n\n\n\n<p>[<br>= \\frac{54}{2} = 27<br>]<\/p>\n\n\n\n<p>So, the <strong>median weight is 27 kg<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The <strong>median<\/strong> represents the middle value of a dataset when arranged in ascending order. It is a measure of <strong>central tendency<\/strong>, meaning it shows the typical value in a dataset. Unlike the mean (average), the median is <strong>not affected by extreme values (outliers)<\/strong>, making it a more reliable representation of the dataset&#8217;s center.<\/p>\n\n\n\n<p>In this case, we had an even number of observations (<strong>6 weights<\/strong>), so we took the <strong>average of the two middle values<\/strong>. If the dataset had an odd number of values, the median would be the exact middle number.<\/p>\n\n\n\n<p>The <strong>importance of median<\/strong> is seen in various fields, such as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Education<\/strong>: To analyze student performances.<\/li>\n\n\n\n<li><strong>Economics<\/strong>: To understand income distribution.<\/li>\n\n\n\n<li><strong>Medicine<\/strong>: To evaluate health statistics.<\/li>\n<\/ul>\n\n\n\n<p>By using the <strong>median instead of the mean<\/strong>, we get a more <strong>balanced<\/strong> view of the dataset, unaffected by extreme values.<\/p>\n\n\n\n<p>Now, I will generate an image to visualize this concept.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-1610-1024x705.png\" alt=\"\" class=\"wp-image-195367\"\/><\/figure>\n\n\n\n<p>Here is a visual representation of the student weights, with the <strong>median weight (27 kg) marked by a red dashed line<\/strong>. This helps illustrate how the median divides the dataset into two equal halves. Let me know if you need any modifications!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The weight of 6 students (in kg) are 14, 26,28, 20, 35, 30. find the median weight ? The Correct Answer and Explanation is : To find the median weight of the six students, follow these steps: Step 1: Arrange the Weights in Ascending Order The given weights are:14, 26, 28, 20, 35, 30 Arranging [&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-195366","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195366","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=195366"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195366\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=195366"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=195366"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=195366"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}