{"id":226842,"date":"2025-06-05T15:52:19","date_gmt":"2025-06-05T15:52:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226842"},"modified":"2025-06-05T15:52:21","modified_gmt":"2025-06-05T15:52:21","slug":"find-the-median-of-the-scores-75-21-56-36-8105-42","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/find-the-median-of-the-scores-75-21-56-36-8105-42\/","title":{"rendered":"Find the median of the scores 75, 21, 56, 36, 81,05, 42"},"content":{"rendered":"\n
Find the median of the scores 75, 21, 56, 36, 81,05, 42<\/pre>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Let’s first correctly interpret the data<\/strong> and find the median<\/strong> step by step.<\/p>\n\n\n\n
\n\n\n\n
Step 1: List the scores<\/strong><\/h3>\n\n\n\n
The scores are:
75, 21, 56, 36, 81, 05, 42<\/strong><\/p>\n\n\n\n
Note: “05” is just another way of writing 5<\/strong> (a single-digit score with a leading zero).<\/p>\n\n\n\n
So, the corrected list is:
75, 21, 56, 36, 81, 5, 42<\/strong><\/p>\n\n\n\n
\n\n\n\n
Step 2: Arrange the numbers in ascending order<\/strong><\/h3>\n\n\n\n
Order the scores from least to greatest<\/strong>:<\/p>\n\n\n\n
5, 21, 36, 42, 56, 75, 81<\/strong><\/p>\n\n\n\n
\n\n\n\n
Step 3: Find the median<\/strong><\/h3>\n\n\n\n
The median<\/strong> is the middle number<\/strong> in an ordered list<\/strong>.<\/p>\n\n\n\n
There are 7 numbers<\/strong> in this list, which is odd<\/strong>, so the median is the 4th number<\/strong>.<\/p>\n\n\n\n
Ordered list again: 5, 21, 36, 42, 56, 75, 81<\/strong><\/p>\n\n\n\n
\ud83d\udc49 Median = 42<\/strong><\/p>\n\n\n\n
\n\n\n\n
\u2705 Final Answer: 42<\/strong><\/h3>\n\n\n\n
\n\n\n\n
\u270d\ufe0f Explanation<\/h2>\n\n\n\n
The median<\/strong> is a measure of central tendency<\/strong> in statistics. It represents the middle value of a dataset when it is arranged in numerical order<\/strong>. Finding the median helps summarize the dataset by identifying the point where half of the values are lower and half are higher<\/strong>, which can provide a more accurate reflection of a “typical” value, especially in skewed data<\/strong>.<\/p>\n\n\n\n
In this problem, the scores given are: 75, 21, 56, 36, 81, 05, 42. It’s important to recognize that “05” is simply the number 5<\/strong>, written with a leading zero. It doesn’t change the value but is often used in formatting. So, we rewrite the dataset as: 75, 21, 56, 36, 81, 5, 42<\/strong>.<\/p>\n\n\n\n
Next, we arrange the scores in ascending order<\/strong>: 5, 21, 36, 42, 56, 75, 81<\/strong>. This step is crucial since the median depends entirely on the position of numbers within the ordered list, not the order in which they were originally given.<\/p>\n\n\n\n
Since there are 7 values<\/strong> (an odd number), the median<\/strong> is the number in the middle position<\/strong>, which is the 4th value<\/strong> in the ordered list. Counting in, the fourth number is 42<\/strong>. Thus, the median score is 42<\/strong>.<\/p>\n\n\n\n
The median<\/strong> is especially useful because it is not affected by extreme values or outliers<\/strong>. For instance, if the highest score was an outlier like 150, the average (mean) would shift, but the median would remain more stable. Therefore, the median gives a more reliable sense of the central value in datasets with irregular distributions.<\/p>\n\n\n\n
In conclusion, the median of the scores is 42<\/strong>.<\/p>\n\n\n\n
\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
Find the median of the scores 75, 21, 56, 36, 81,05, 42 The Correct Answer and Explanation is: Let’s first correctly interpret the data and find the median step by step. Step 1: List the scores The scores are:75, 21, 56, 36, 81, 05, 42 Note: “05” is just another way of writing 5 (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-226842","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226842","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=226842"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226842\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226842"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226842"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226842"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}