{"id":219503,"date":"2025-05-26T08:54:03","date_gmt":"2025-05-26T08:54:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=219503"},"modified":"2025-05-26T08:54:06","modified_gmt":"2025-05-26T08:54:06","slug":"find-the-median-score","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/26\/find-the-median-score\/","title":{"rendered":"Find the median score."},"content":{"rendered":"\n

The scores of 10 students in a test are 75, 80, 85, 90, 95, 100, 70, 80, 85. Find the median score.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: Median = 82.5<\/strong><\/p>\n\n\n\n

\n\n\n\n

Step-by-Step Explanation:<\/strong><\/h3>\n\n\n\n

To find the median<\/strong>, you need to follow a clear, systematic process. The median<\/strong> is the middle value in a data set when the numbers are arranged in ascending order<\/strong>. If the number of values is odd<\/strong>, the median is the middle number. If the number is even<\/strong>, the median is the average of the two middle numbers.<\/p>\n\n\n\n

\n\n\n\n

Step 1: Arrange the scores in ascending order.<\/strong><\/h3>\n\n\n\n

Given scores:
75, 80, 85, 90, 95, 100, 70, 80, 85<\/p>\n\n\n\n

There are 9 scores listed here, but the problem says “10 students.” So we’re missing one number.<\/p>\n\n\n\n

Let\u2019s count:
Given: 75, 80, 85, 90, 95, 100, 70, 80, 85 \u2192 That\u2019s 9 numbers<\/strong>, not 10.<\/p>\n\n\n\n

Let\u2019s assume the correct list includes all 10 values. Let\u2019s add another value (maybe a typo excluded one). If a 90 is missing (a reasonable guess), here\u2019s a corrected list of 10 values:<\/p>\n\n\n\n

Correct list (assumed):<\/strong>
70, 75, 80, 80, 85, 85, 90, 90, 95, 100<\/p>\n\n\n\n

\n\n\n\n

Step 2: Find the middle numbers.<\/strong><\/h3>\n\n\n\n

Since there are 10 values<\/strong>, the median<\/strong> will be the average of the 5th and 6th values<\/strong>.<\/p>\n\n\n\n

Let\u2019s identify those:<\/p>\n\n\n\n

    \n
  1. 70<\/li>\n\n\n\n
  2. 75<\/li>\n\n\n\n
  3. 80<\/li>\n\n\n\n
  4. 80<\/li>\n\n\n\n
  5. 85<\/strong> \u2190 5th<\/li>\n\n\n\n
  6. 85<\/strong> \u2190 6th<\/li>\n\n\n\n
  7. 90<\/li>\n\n\n\n
  8. 90<\/li>\n\n\n\n
  9. 95<\/li>\n\n\n\n
  10. 100<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Step 3: Calculate the median.<\/strong><\/h3>\n\n\n\n

    Median=85+852=1702=85\\text{Median} = \\frac{85 + 85}{2} = \\frac{170}{2} = 85<\/p>\n\n\n\n

    \n\n\n\n

    Final Answer: Median = 85<\/strong><\/h3>\n\n\n\n

    So, assuming there are 10 values<\/strong>, and using logical correction of missing data, the median score is 85<\/strong>. The median is a useful measure of central tendency because it is not affected by extreme scores<\/strong>, making it more representative in skewed data.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    The scores of 10 students in a test are 75, 80, 85, 90, 95, 100, 70, 80, 85. Find the median score. The Correct Answer and Explanation is: Correct Answer: Median = 82.5 Step-by-Step Explanation: To find the median, you need to follow a clear, systematic process. The median is the middle value in a […]<\/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-219503","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219503","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=219503"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219503\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=219503"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=219503"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=219503"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}