{"id":2415,"date":"2022-06-14T06:46:38","date_gmt":"2022-06-14T06:46:38","guid":{"rendered":"https:\/\/swatilathia.com\/?page_id=2415"},"modified":"2022-06-23T06:16:49","modified_gmt":"2022-06-23T06:16:49","slug":"introduction-to-measure-of-central-tendency","status":"publish","type":"page","link":"https:\/\/swatilathia.com\/?page_id=2415","title":{"rendered":"Introduction to Measure of Central Tendency"},"content":{"rendered":"<body>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69dd6d6aa6e76\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69dd6d6aa6e76\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Arithmetic_Average_or_Mean\" >Arithmetic Average or Mean<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculating_the_mean_from_Ungrouped_Data\" >Calculating the mean from Ungrouped Data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_simple_mean_The_observations_is_42_One_observation_is_taken_as_34_instead_of_43_by_data_entry_error_Find_the_correct_mean\" >Calculate simple mean. The observations is 42. One observation is taken as 34 instead of 43 by data entry error. Find the correct mean.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_the_mean_from_the_discrete_series\" >Calculate the mean from the discrete series<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#For_the_given_data_xy24_and_the_mean_is_362_Find_the_values_of_x_y\" >For the given data, x+y=24 and the mean is 3.62. Find the values of x &amp; y.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_mean_from_Continuous_Series\" >Calculate mean from Continuous Series<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#The_mean_of_the_following_distribution_of_125_observation_is_2262_Find_the_missing_frequency_of_the_distribution\" >The mean of the following distribution of 125 observation is 22.62. Find the missing frequency of the distribution.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Combined_Mean\" >Combined Mean<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Example_The_mean_of_10_observations_is_35_and_mean_of_other_15_observations_is_25_Find_the_mean_of_all_25_observations\" >Example : The mean of 10 observations is 35 and mean of other 15 observations is 25. Find the mean of all 25 observations.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Example_A_group_of_60_values_has_a_mean_10_A_subgroup_of_this_has_n140_x%CC%841_11_Find_the_mean_of_other_group\" >Example : A group of 60 values has a mean 10. A subgroup of this has n1=40, x\u03041 = 11. Find the mean of other group.<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Weighted_Mean\" >Weighted Mean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Properties_of_Mean\" >Properties of Mean<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#1_Sum_of_deviations_of_actual_observations_taken_from_the_mean_is_always_zero_ie_%CE%A3x-x%CC%84_0\" >1. Sum of deviations of actual observations taken from the mean is always zero , i,e, \u03a3(x-x\u0304) = 0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#2_Mean_is_not_independent_of_change_of_origin_and_scale_ie_y_x_or_%E2%80%93_ab_where_y_is_the_mean_of_new_observations_x_is_the_old_mean_a_and_b_are_constants_which_can_change_the_value_of_old_observations\" >2. Mean is not independent of change of origin and scale. i.e. y = (x + or \u2013 a)\/b where y is the mean of new observations, x is the old mean, a and b are constants which can change the value of old observations.<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Median\" >Median<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_median_from_ungrouped_data\" >Calculate median from ungrouped data<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Find_the_median_for_the_following_data_35_10_28_8_24_5_20_19_12_30_39\" >Find the median for the following data : 35, 10, 28, 8, 24, 5, 20, 19, 12, 30, 39<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_median_from_the_discrete_series\" >Calculate median from the discrete series<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_median_from_the_continuous_series\" >Calculate median from the continuous series<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_Missing_frequency_Find_missing_frequencies_for_total_400_frequencies_if_median_of_frequency_distribution_is_38\" >Calculate Missing frequency : Find missing frequencies for total 400 frequencies if median of frequency distribution is 38.<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Mode\" >Mode<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/swatilathia.com\/?page_id=2415\/#Calculate_Mode_from_ungrouped_data_Calculate_Mode_from_Discrete_Series_and_Calculate_Mode_from_Continuous_Series\" >Calculate Mode from ungrouped data, Calculate Mode from Discrete Series and Calculate Mode from Continuous Series<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Arithmetic_Average_or_Mean\"><\/span>Arithmetic Average or Mean<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculating_the_mean_from_Ungrouped_Data\"><\/span>Calculating the mean from Ungrouped Data<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Measure of Central Tendency and dispersion | Mean or Average | Types of mean &amp; examples\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/7ny407jCpso?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_simple_mean_The_observations_is_42_One_observation_is_taken_as_34_instead_of_43_by_data_entry_error_Find_the_correct_mean\"><\/span>Calculate simple mean. The observations is 42. One observation is taken as 34 instead of 43 by data entry error. Find the correct mean.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Arithmetic Average or Mean | Example of Simple Mean\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/avw5dURgl_4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_the_mean_from_the_discrete_series\"><\/span>Calculate the mean from the discrete series<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Mean of Discrete Series | How to calculate mean from a discrete series\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/jWe2pxguEgs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"For_the_given_data_xy24_and_the_mean_is_362_Find_the_values_of_x_y\"><\/span>For the given data, x+y=24 and the mean is 3.62. Find the values of x &amp; y.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Finding missing frequency (f) from Discrete Series | Example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/BbjfPsVgKMA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_mean_from_Continuous_Series\"><\/span>Calculate mean from Continuous Series<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Calculating mean from continuous series | Mean | Example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/F_mFWZ-khh4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"The_mean_of_the_following_distribution_of_125_observation_is_2262_Find_the_missing_frequency_of_the_distribution\"><\/span>The mean of the following distribution of 125 observation is 22.62. Find the missing frequency of the distribution.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"How to find missing frequency from continuous series | Example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/wZZHqhT3dI8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Combined_Mean\"><\/span>Combined Mean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"has-medium-font-size\">Sometimes we require to find the mean of entire group of data on the basis of different group of data. If we have two or more group of data, these groups are combined to get a combined or entire group of data. The mean the combine group of data is called the combined mean and is denoted by symbol x\u0304\u0304 (x double bar).<\/p>\n\n\n\n<p class=\"has-medium-font-size\">If <strong>x\u0304<\/strong>1, <strong>x\u0304<\/strong>2, <strong>x\u0304<\/strong>3, \u2026,<strong>x\u0304<\/strong>n are the mean of n group of data with number of observations n1,n2,n3,\u2026nn respectively, then combined mean x\u0304\u0304 of the group is obtained by the formula :<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Combined Mean = x\u0304\u0304 = (<strong>x\u0304<\/strong><sub>1<\/sub>n<sub>1<\/sub> + <strong>x\u0304<\/strong><sub>2<\/sub>n<sub>2<\/sub> + <strong>x\u0304<\/strong><sub>3<\/sub>n<sub>3<\/sub> + \u2026 +<strong>x\u0304<\/strong><sub>n<\/sub>n<sub>n<\/sub>) \/ n1+n2+n3+\u2026+nn<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example_The_mean_of_10_observations_is_35_and_mean_of_other_15_observations_is_25_Find_the_mean_of_all_25_observations\"><\/span><strong>Example<\/strong> :<strong> The mean of 10 observations is 35 and mean of other 15 observations is 25. Find the mean of all 25 observations.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Example_A_group_of_60_values_has_a_mean_10_A_subgroup_of_this_has_n140_x%CC%841_11_Find_the_mean_of_other_group\"><\/span>Example : A group of 60 values has a mean 10. A subgroup of this has n1=40, x\u03041 = 11. Find the mean of other group.<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"What is Combined Mean? How to calculate it?\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/U_dR7HD-LyA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Weighted_Mean\"><\/span>Weighted Mean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"has-medium-font-size\">Weighted mean is an average, whose observations are being multiplied by certain values known as \u201cweights\u201d and the aggregate of the multiplied results are being divided by the total sum of their \u201cweights\u201d instead of the sum of the items (number of observations) The formula is, Xw(sounds Xw bar) = (x1w1+x2w2+x3w3+\u2026.+xnwn)\/(w1+w2+w3+..wn)<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"What is Weighted mean? | Example of weighted mean\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/ARMtnYgl4Ck?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Properties_of_Mean\"><\/span>Properties of Mean <span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Sum_of_deviations_of_actual_observations_taken_from_the_mean_is_always_zero_ie_%CE%A3x-x%CC%84_0\"><\/span>1. Sum of deviations of actual observations taken from the mean is always zero , i,e, \u03a3(x-<strong>x\u0304<\/strong>) = 0<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_Mean_is_not_independent_of_change_of_origin_and_scale_ie_y_x_or_%E2%80%93_ab_where_y_is_the_mean_of_new_observations_x_is_the_old_mean_a_and_b_are_constants_which_can_change_the_value_of_old_observations\"><\/span>2. Mean is not independent of change of origin and scale. i.e. y = (x + or \u2013 a)\/b where y is the mean of new observations, x is the old mean, a and b are constants which can change the value of old observations.<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Properies of Mean with example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/_Ixlr7AOtok?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Median\"><\/span>Median<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">The median is the middle value of a series arranged in any order of magnitude. It is also known as \u201cpositional average\u201d.  It is just the 50th percentile value below which 50% of the value in the sample fall. Median is value diving observations into two equal parts such that the number of observations less than or equal to and the number of observations greater than or equal to this value are equal. To calculate median, observations must be in any of the order either in ascending or in descending.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_median_from_ungrouped_data\"><\/span>Calculate median from ungrouped data<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Find_the_median_for_the_following_data_35_10_28_8_24_5_20_19_12_30_39\"><\/span>Find the median for the following data : 35, 10, 28, 8, 24, 5, 20, 19, 12, 30, 39<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"What is median? Calculate median from ungrouped data with example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/UybmB2Ehdts?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_median_from_the_discrete_series\"><\/span>Calculate median from the discrete series<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Calculate median from Discrete Series with example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/Z115GuhpzaY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_median_from_the_continuous_series\"><\/span>Calculate median from the continuous series<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Calculate median from Continuous series\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/DbLyT7qZy3M?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_Missing_frequency_Find_missing_frequencies_for_total_400_frequencies_if_median_of_frequency_distribution_is_38\"><\/span>Calculate Missing frequency : Find missing frequencies for total 400 frequencies if median of frequency distribution is 38.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Find missing frequencies from median\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/4bAlnvb_ldo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mode\"><\/span>Mode<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">In some cases, some of the observations occur more frequently . The value of an observation that occurs most frequently in the observation data is called <strong>Mode<\/strong> of the data.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">It is defined as the value of the variable which is repeated maximum number of times in the data set. It is denoted by Z. Sometimes, the data may have one or two modes or no mode at all. The data with one mode is called <strong>Uni-modal<\/strong> data and data with two modes are called <strong>bi-modal<\/strong> data.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Calculate_Mode_from_ungrouped_data_Calculate_Mode_from_Discrete_Series_and_Calculate_Mode_from_Continuous_Series\"><\/span>Calculate Mode from ungrouped data, Calculate Mode from Discrete Series and Calculate Mode from Continuous Series<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"zak-oembed-container\"><div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"Calculate Mode from Ungrouped Data, Discrete series and Continuous Series | Example\" width=\"812\" height=\"457\" src=\"https:\/\/www.youtube.com\/embed\/OrIZ7qRHLOY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div><\/div>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n<\/body>","protected":false},"excerpt":{"rendered":"<p>Arithmetic Average or Mean Calculating the mean from Ungrouped Data Calculate simple mean. The observations is 42. One observation is taken as 34 instead of 43 by data entry error. Find the correct mean. Calculate the mean from the discrete series For the given data, x+y=24 and the mean is 3.62. Find the values of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-2415","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2415","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2415"}],"version-history":[{"count":9,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2415\/revisions"}],"predecessor-version":[{"id":2435,"href":"https:\/\/swatilathia.com\/index.php?rest_route=\/wp\/v2\/pages\/2415\/revisions\/2435"}],"wp:attachment":[{"href":"https:\/\/swatilathia.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}