{"id":154942,"date":"2022-03-26T00:05:41","date_gmt":"2022-03-25T18:35:41","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/mean-absolute-deviation\/"},"modified":"2023-01-02T17:55:07","modified_gmt":"2023-01-02T12:25:07","slug":"mean-absolute-deviation","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/","title":{"rendered":"Mean Absolute Deviation"},"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\/mean-absolute-deviation\/#Given_Below_is_an_Observation_of_Maximum_Mark_Scored_By_a_Student\" title=\"Given Below is an Observation of Maximum Mark Scored By a Student:\">Given Below is an Observation of Maximum Mark Scored By a Student:<\/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\/mean-absolute-deviation\/#Mean_Absolute_Deviation\" title=\"Mean Absolute Deviation\">Mean Absolute Deviation<\/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\/mean-absolute-deviation\/#Mean_Absolute_Deviation_Formula\" title=\"Mean Absolute Deviation Formula:\">Mean Absolute Deviation Formula:<\/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\/mean-absolute-deviation\/#How_to_Calculate_Mean_Absolute_Deviation\" title=\"How to Calculate Mean Absolute Deviation ?\">How to Calculate Mean Absolute Deviation ?<\/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\/mean-absolute-deviation\/#Steps_to_Find_Mean_Absolute_Deviation\" title=\"Steps to Find Mean Absolute Deviation:\">Steps to Find Mean Absolute Deviation:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Examples\" title=\"Examples:\">Examples:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#The_Mean_Absolute_Deviation_can_be_calculated_as\" title=\"The Mean Absolute Deviation can be calculated as:\">The Mean Absolute Deviation can be calculated as:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Central_Tendency\" title=\"Central Tendency\">Central Tendency<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Measure_Of_Central_Tendency\" title=\"Measure Of Central Tendency\">Measure Of Central Tendency<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Mean\" title=\"Mean\">Mean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Median\" title=\"Median\">Median<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Mode\" title=\"Mode\">Mode<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Examples-2\" title=\"Examples\">Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Mean-2\" title=\"Mean:\">Mean:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Median-2\" title=\"Median:\">Median:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#Mode-2\" title=\"Mode:\">Mode:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/#The_most_frequent_data_is_the_mode_ie_5\" title=\"The most frequent data is the mode i.e., 5.\">The most frequent data is the mode i.e., 5.<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Given_Below_is_an_Observation_of_Maximum_Mark_Scored_By_a_Student\"><\/span>Given Below is an Observation of Maximum Mark Scored By a Student:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Maximum mark scored by the student is 95.<\/p>\n<p>The student has scored 95 marks in the exam.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154941 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/mean-absolute-deviation-300x212.jpg\" alt=\"Mean Absolute Deviation\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/mean-absolute-deviation-300x212.jpg?v=1648233339 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/mean-absolute-deviation.jpg?v=1648233339 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mean_Absolute_Deviation\"><\/span>Mean Absolute Deviation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The mean absolute deviation (MAD) is a statistic that measures the average distance of a set of data points from their mean. The MAD is computed by taking the average of the absolute values of the deviations from the mean.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mean_Absolute_Deviation_Formula\"><\/span>Mean Absolute Deviation Formula:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The mean absolute deviation (MAD) is a measure of the average distance of a set of data points from the mean. It is equal to the average of the absolute deviations of the data points from the mean.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Calculate_Mean_Absolute_Deviation\"><\/span>How to Calculate Mean Absolute Deviation ?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To calculate the mean absolute deviation, first calculate the mean of the data set. Next, find the absolute deviation of each data point from the mean. Finally, sum the absolute deviations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Find_Mean_Absolute_Deviation\"><\/span>Steps to Find Mean Absolute Deviation:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Find the mean of the data set.<\/p>\n<p>2. Find the absolute deviation of each data point from the mean.<\/p>\n<p>3. Add up all of the absolute deviations.<\/p>\n<p>4. Divide the sum of the absolute deviations by the number of data points.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Examples\"><\/span>Examples:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. &#8220;I have a headache.&#8221;<\/p>\n<p>2. &#8220;I have a meeting with my boss at 2 p.m.&#8221;<\/p>\n<p>3. &#8220;I have to go to the store.&#8221;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Mean_Absolute_Deviation_can_be_calculated_as\"><\/span>The Mean Absolute Deviation can be calculated as:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Mean Absolute Deviation can be interpreted as the average distance that each data point is from the mean.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Central_Tendency\"><\/span>Central Tendency<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The central tendency is the most common measure of central tendency. It is the measure that takes into account the most data points. The three most common measures of central tendency are the mean, median, and mode.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Measure_Of_Central_Tendency\"><\/span>Measure Of Central Tendency<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The most common measure of central tendency is the arithmetic mean. The arithmetic mean is simply the sum of all the data points in a set of data divided by the number of data points in the set.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mean\"><\/span>Mean<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The average of a set of numbers is their mean. To find the mean, add up all the numbers in the set and divide by the number of numbers in the set.<\/p>\n<p>For example, the mean of the numbers 1, 2, and 3 is 2.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Median\"><\/span>Median<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The median is the middle value in a set of data.<\/p>\n<p>To find the median, you first need to order the data from smallest to largest.<\/p>\n<p>Then, find the middle value.<\/p>\n<p>If there is an even number of data points, the median is the average of the two middle values.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mode\"><\/span>Mode<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three ways to use the Mode function:<\/p>\n<p>Mode(Range) Mode(Array) Mode(List)<\/p>\n<p>Description<\/p>\n<p>The Mode function returns the most common value in a range, array, or list.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Examples-2\"><\/span>Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. &#8220;I&#8217;m going to go get some coffee.&#8221;<\/p>\n<p>2. &#8220;I&#8217;m going to go get some coffee and come back.&#8221;<\/p>\n<p>3. &#8220;I&#8217;m going to go get some coffee, and then I&#8217;ll be back.&#8221;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mean-2\"><\/span>Mean:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>$9,000<\/p>\n<p>Mode: $10,000<\/p>\n<p>Median: $9,000<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Median-2\"><\/span>Median:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>$191,500<\/p>\n<p>Mode: $191,500<\/p>\n<p>Mean: $191,500<\/p>\n<p>Standard Deviation: $0<\/p>\n<p>Range: $191,500<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mode-2\"><\/span>Mode:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Go to the Google Accounts website.<\/p>\n<p>2. Select &#8220;Create a new account.&#8221;<\/p>\n<p>3. Enter your information and click &#8220;Create account.&#8221;<\/p>\n<p>4. Follow the instructions to verify your account.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_most_frequent_data_is_the_mode_ie_5\"><\/span>The most frequent data is the mode i.e., 5.<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The median is 4 and the mean is 4.5.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given Below is an Observation of Maximum Mark Scored By a Student: Maximum mark scored by the student is 95. [&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":"Mean Absolute Deviation","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Mean Absolute Deviation topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/mean-absolute-deviation\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mean Absolute Deviation - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Mean Absolute Deviation topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/mean-absolute-deviation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mean Absolute Deviation - 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