{"id":7625,"date":"2021-03-30T09:51:49","date_gmt":"2021-03-30T09:51:49","guid":{"rendered":"https:\/\/prwatech.in\/blog\/?p=7625"},"modified":"2024-03-30T08:02:31","modified_gmt":"2024-03-30T08:02:31","slug":"measures-of-central-tendency","status":"publish","type":"post","link":"https:\/\/prwatech.in\/blog\/statistics\/measures-of-central-tendency\/","title":{"rendered":"Measures of central tendency"},"content":{"rendered":"\r\n<h2><span data-sheets-root=\"1\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Choosing the Right Measure of Central Tendency&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:513,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0}\">Choosing the Right Measure of Central Tendency<\/span><\/h2>\r\n<p>&nbsp;<\/p>\r\n<p><strong>Measures of <a href=\"https:\/\/en.wikipedia.org\/wiki\/Data_science\">Central<\/a><a href=\"https:\/\/prwatech.in\/blog\/\"> Tendency<\/a><\/strong><\/p>\r\n\r\n\r\n\r\n<p><strong>Mean:<\/strong>\u00a0Considered as a average of a dataset.<br \/><strong>Median:\u00a0<\/strong>The middle vale of ordered dataset.<\/p>\r\n\r\n\r\n\r\n<p><strong>Mode:<\/strong>\u00a0It is known as the most common value in a dataset.<\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"628\" height=\"272\" class=\"wp-image-7627\" src=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-233.png\" alt=\"\" srcset=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-233.png 628w, https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-233-300x130.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/figure>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">Measures of Variability<\/h3>\r\n\r\n\r\n\r\n<p><strong>Range:<\/strong>\u00a0the difference between a dataset&#8217;s highest and lowest value.<\/p>\r\n\r\n\r\n\r\n<p><strong>Variance (\u03c32):\u00a0<\/strong>determines how distributed a collection of data is in comparison to the mean.<\/p>\r\n\r\n\r\n\r\n<p><strong>Standard Deviation (\u03c3):\u00a0<\/strong>The square root of variance is a representation of how spread out numbers are in a data set.<\/p>\r\n\r\n\r\n\r\n<p><strong>Z-score:\u00a0<\/strong>determines how far a data point is from the mean in standard deviations.<strong>R-Squared:\u00a0<\/strong>Only useful for simple linear regression.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" width=\"628\" height=\"121\" class=\"wp-image-7628\" src=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-234.png\" alt=\"\" srcset=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-234.png 628w, https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-234-300x58.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/p>\r\n\r\n\r\n\r\n<h1 class=\"wp-block-heading\">Measurements of Relationships between Variables<\/h1>\r\n\r\n\r\n\r\n<p><strong>Covariance:\u00a0<\/strong>Measures the variance between two (or more) variables.\u00a0<em>If it\u2019s positive then they tend to move in the same direction, if it\u2019s negative then they tend to move in opposite directions, and if they\u2019re zero, they have no relation to each other.<\/em><\/p>\r\n\r\n\r\n\r\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"628\" height=\"210\" class=\"wp-image-7629\" src=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-235.png\" alt=\"\" srcset=\"https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-235.png 628w, https:\/\/prwatech.in\/blog\/wp-content\/uploads\/2021\/03\/image-235-300x100.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/figure>\r\n\r\n\r\n\r\n<p><strong>The Center&#8217;s Measures<\/strong><\/p>\r\n\r\n\r\n\r\n<p>Mean: \u00a0Mean is the average of the sum of all the values in a sample<\/p>\r\n\r\n\r\n\r\n<p>Median: The Median is a measure of the sample set&#8217;s core value.<\/p>\r\n\r\n\r\n\r\n<p>Mode: Mode is the most frequently occurring value in the sample collection..<\/p>\r\n\r\n\r\n\r\n<p>You may use descriptive analysis to look at the mean, standard deviation, minimum, and maximum values for each variable in the sample data set.<\/p>\r\n\r\n\r\n\r\n<p><em>Mean = (110+110+93+96+90+110+110+110)\/8 =\u00a0103.625<\/em><\/p>\r\n\r\n\r\n\r\n<p><em>The mpg for 8 cars: 21,21,21.3,22.8,23,23,23,23<\/em><br \/><em>Median = (22.8+23 )\/2 = 22.9<\/em><\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" type=\"1\">\r\n<li><strong>Range: This is a metric that describes how far apart the values in a data set are.<\/strong><\/li>\r\n<li><strong>Inter Quartile Range (IQR):<\/strong>\u00a0 This is a measure of variability dependent on quartile division of a data set<\/li>\r\n<li>.<strong>Variance:<\/strong>\u00a0 This term refers to the amount by which a random variable deviates from its predicted value.<\/li>\r\n<li><strong><em>Deviation <\/em><\/strong><em>\u00a0<\/em>is the deviation of each factor from the mean<\/li>\r\n<li><strong>Population Variance<\/strong>\u00a0is the arithmetic mean of the squared deviations<\/li>\r\n<li><strong>Sample Variance<\/strong>\u00a0is the sum of squared deviations from the mean.<\/li>\r\n<li><strong>Standard Deviation:<\/strong>\u00a0It&#8217;s a metric for how far a collection of data deviates from its mean..<\/li>\r\n<\/ol>\r\n","protected":false},"excerpt":{"rendered":"<p>Choosing the Right Measure of Central Tendency &nbsp; Measures of Central Tendency Mean:\u00a0Considered as a average of a dataset.Median:\u00a0The middle vale of ordered dataset. Mode:\u00a0It is known as the most common value in a dataset. Measures of Variability Range:\u00a0the difference between a dataset&#8217;s highest and lowest value. Variance (\u03c32):\u00a0determines how distributed a collection of data [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[710],"tags":[1809,1811,1812,1810],"class_list":["post-7625","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-mean","tag-measures-of-central-tendency-examples","tag-median-mode-understanding-the-central-tendency","tag-mode-and-median-measures-of-central-tendency"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Choosing the Right Measure of Central Tendency - Prwatech<\/title>\n<meta name=\"description\" content=\"Master Choosing the Right Measure of Central Tendency - Dive deep with our expert instructors and comprehensive curriculum.\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Choosing the Right Measure of Central Tendency - 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