{"id":155966,"date":"2022-03-26T01:13:57","date_gmt":"2022-03-25T19:43:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/how-to-find-median-with-even-numbers-for-grouped-frequencies-solved-examples-and-faqs\/"},"modified":"2024-01-17T15:07:23","modified_gmt":"2024-01-17T09:37:23","slug":"how-to-find-median-with-even-numbers-for-grouped-frequencies-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/","title":{"rendered":"How To Find Median? &#8211; With Even Numbers, For Grouped Frequencies, Solved Examples, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#Process_to_find_the_Median_of_an_Array\" title=\"Process to find the Median of an Array\">Process to find the Median of an Array<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#What_is_Median\" title=\"What is Median?\">What is Median?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#How_to_find_the_Median_of_Ungrouped_Data\" title=\"How to find the Median of Ungrouped Data?\">How to find the Median of Ungrouped Data?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#How_to_find_the_Median_with_an_Even_Number_of_Observations\" title=\"How to find the Median with an Even Number of Observations?\">How to find the Median with an Even Number of Observations?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#How_to_find_the_Median_in_Maths_for_Grouped_Frequencies\" title=\"How to find the Median in Maths for Grouped Frequencies?\">How to find the Median in Maths for Grouped Frequencies?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-median\/#Solved_Examples\" title=\"Solved Examples\">Solved Examples<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Process_to_find_the_Median_of_an_Array\"><\/span>Process to find the Median of an Array<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few steps you need to take in order to find the median of an array.<\/p>\n<p>1. Arrange the data in ascending order.<\/p>\n<p>2. Find the middle value in the array.<\/p>\n<p>3. If the array has an odd number of values, the median is the value that is in the middle.<\/p>\n<p>4. If the array has an even number of values, the median is the average of the two middle values.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155965 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-median-with-even-numbers-for-grouped-frequencies-solved-examples-and-faqs.jpg\" alt=\"How To Find Median? - With Even Numbers, For Grouped Frequencies, Solved Examples, and FAQs\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-median-with-even-numbers-for-grouped-frequencies-solved-examples-and-faqs.jpg?v=1648237435 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-median-with-even-numbers-for-grouped-frequencies-solved-examples-and-faqs-300x212.jpg?v=1648237435 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Median\"><\/span>What is Median?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A median is a number in a set of data that is found by arranging all of the data in numerical order and then finding the middle number. It is the number that is greater than half of the numbers and less than the other half. To find the median, you must first order the numbers from least to greatest. Then, find the number that is exactly in the middle of the series. If there is an odd number of numbers, the median is the middle number. If there is an even number of numbers, the median is the average of the two middle numbers<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_the_Median_of_Ungrouped_Data\"><\/span>How to find the Median of Ungrouped Data?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the median of ungrouped data, follow these steps:<\/p>\n<p>1. Arrange the data in ascending order.<\/p>\n<p>2. If the data has an odd number of values, the median is the value in the middle. If the data has an even number of values, the median is the average of the two values in the middle.<\/p>\n<p>3. If the data is not in ascending order, find the value in the middle of the data and order the data around that value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_the_Median_with_an_Even_Number_of_Observations\"><\/span>How to find the Median with an Even Number of Observations?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If there is an even number of observations in the data set, the median is the average of the two middle values.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_the_Median_in_Maths_for_Grouped_Frequencies\"><\/span>How to find the Median in Maths for Grouped Frequencies?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the median in maths for grouped frequencies, first find the median of the data set when it is not grouped. Then, divide the data set into groups of the same size, and find the median of each group. Finally, find the median of the resulting medians.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Solved_Examples\"><\/span>Solved Examples<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">1. How to find the median of the following set = {11, 22, 33, 55, 66, 99}<\/p>\n<p dir=\"ltr\">Answer: The given set {11, 22, 33, 55, 66, 99} is in ascending order.<\/p>\n<p dir=\"ltr\">The number of terms contained in the given list = 6 terms<\/p>\n<p dir=\"ltr\">Thus, the set contains an even number of elements.<\/p>\n<p dir=\"ltr\">The middle two terms of the list are 33 and 55.<\/p>\n<p dir=\"ltr\">Hence, the median of the set of numbers is = (33 + 55)\/2<\/p>\n<p dir=\"ltr\">     = 42.50<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Process to find the Median of an Array There are a few steps you need to take in order to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"How To Find Median of an Array","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Process to find the Median of an Array1. 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