{"id":23695,"date":"2025-06-17T21:01:23","date_gmt":"2025-06-17T21:01:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=23695"},"modified":"2025-06-17T21:01:34","modified_gmt":"2025-06-17T21:01:34","slug":"what-is-the-median-of-the-following-data-10-12-3-4-5-8-12-15-5-6","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-median-of-the-following-data-10-12-3-4-5-8-12-15-5-6\/","title":{"rendered":"What is the median of the following data: 10, 12, 3, 4, 5, 8, 12, 15, 5, 6"},"content":{"rendered":"\n<p>What is the median of the following data: 10, 12, 3, 4, 5, 8, 12, 15, 5, 6?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: 7<\/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>Step-by-step Solution:<\/strong><\/h3>\n\n\n\n<p>To find the <strong>median<\/strong> of a data set, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Arrange the numbers in ascending order:<\/strong> Given data:<br><code>10, 12, 3, 4, 5, 8, 12, 15, 5, 6<\/code> Ordered:<br><code>3, 4, 5, 5, 6, 8, 10, 12, 12, 15<\/code><\/li>\n\n\n\n<li><strong>Count the total number of values:<\/strong> There are <strong>10<\/strong> values.<\/li>\n\n\n\n<li><strong>Determine the position of the median:<\/strong><ul><li>If the number of data points (n) is <strong>odd<\/strong>, the median is the value at position <strong>(n + 1)\/2<\/strong>.<\/li><li>If <strong>even<\/strong>, the median is the <strong>average of the two middle numbers<\/strong>, at positions <strong>n\/2<\/strong> and <strong>(n\/2) + 1<\/strong>.<\/li><\/ul>Since we have <strong>10<\/strong> numbers (even), the median is the average of the 5th and 6th numbers.<ul><li>5th number = <strong>6<\/strong><\/li><li>6th number = <strong>8<\/strong><\/li><\/ul>Median = (6 + 8) \/ 2 = <strong>7<\/strong><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>The <strong>median<\/strong> is a measure of central tendency that represents the <strong>middle value<\/strong> in a data set when the numbers are arranged in ascending or descending order. It is particularly useful in summarizing data because it is <strong>not affected by outliers<\/strong> or extremely high or low values. This makes it a better representation of the &#8220;typical&#8221; value in many cases than the mean.<\/p>\n\n\n\n<p>In this case, the data set has 10 values:<br><code>10, 12, 3, 4, 5, 8, 12, 15, 5, 6<\/code><\/p>\n\n\n\n<p>The first step in finding the median is sorting the data, which gives us:<br><code>3, 4, 5, 5, 6, 8, 10, 12, 12, 15<\/code><\/p>\n\n\n\n<p>Since the total number of values is even (10), we don&#8217;t have a single middle number. Instead, the <strong>median is calculated as the average of the two central values<\/strong> \u2014 the 5th and 6th numbers in the sorted list. These are <strong>6 and 8<\/strong>, respectively.<\/p>\n\n\n\n<p>Taking the average of these two gives:<br>(6 + 8) \u00f7 2 = 7<\/p>\n\n\n\n<p>So, the <strong>median of this data set is 7<\/strong>.<\/p>\n\n\n\n<p>Understanding the median helps in interpreting data distributions and spotting skewness. For example, in a salary distribution, the median gives a better picture of what most people earn compared to the mean, which might be inflated by a few high incomes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the median of the following data: 10, 12, 3, 4, 5, 8, 12, 15, 5, 6? The correct answer and explanation is: Correct Answer: 7 Step-by-step Solution: To find the median of a data set, follow these steps: Explanation (300 words): The median is a measure of central tendency that represents the middle [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-23695","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23695","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=23695"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23695\/revisions"}],"predecessor-version":[{"id":23696,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23695\/revisions\/23696"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23695"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23695"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}