{"id":153838,"date":"2022-03-25T22:52:05","date_gmt":"2022-03-25T17:22:05","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/variance-and-standard-deviation\/"},"modified":"2025-06-24T14:39:51","modified_gmt":"2025-06-24T09:09:51","slug":"variance-and-standard-deviation","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/variance-and-standard-deviation\/","title":{"rendered":"Variance and Standard 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\/variance-and-standard-deviation\/#Explain_in_Detail_Properties_of_Variance\" title=\"Explain in Detail :Properties of Variance\">Explain in Detail :Properties of Variance<\/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\/variance-and-standard-deviation\/#Standard_Deviation\" title=\"Standard Deviation\">Standard 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\/variance-and-standard-deviation\/#Properties_of_Standard_Deviation\" title=\"Properties of Standard Deviation\">Properties of Standard Deviation<\/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\/variance-and-standard-deviation\/#Variance_and_Standard_Deviation_Formula\" title=\"Variance and Standard Deviation Formula\">Variance and Standard Deviation Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Explain_in_Detail_Properties_of_Variance\"><\/span>Explain in Detail :Properties of Variance<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The variance of a population is a measure of the spread of the values in that population. It is calculated by taking the average of the squared differences between each value in the population and the population mean.<\/p>\n<p>The variance is always a positive number, and it is always less than or equal to the population standard deviation. The variance can be used to compare the variability of two or more populations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Standard_Deviation\"><\/span>Standard Deviation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The standard deviation is a measure of the dispersion of a set of data from its mean. It is calculated by taking the square root of the variance.<\/p>\n<p>The standard deviation is important because it is used to measure the risk of an investment. The greater the standard deviation, the greater the risk.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Standard_Deviation\"><\/span>Properties of Standard Deviation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The standard deviation is a measure of the variability of a set of data.<\/p>\n<p>The standard deviation is always positive.<\/p>\n<p>The standard deviation is always less than the mean.<\/p>\n<p>The standard deviation is a measure of the spread of the data.<\/p>\n<p>The standard deviation is used to calculate the variance.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Variance_and_Standard_Deviation_Formula\"><\/span>Variance and Standard Deviation Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The variance and standard deviation formula is:<\/p>\n<p>Where:<\/p>\n<p>x is a set of data points<\/p>\n<p>n is the number of data points in the set<\/p>\n<p>x\u0304 is the mean of the data set<\/p>\n<p>\u03c3 is the standard deviation of the data set<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Explain in Detail :Properties of Variance The variance of a population is a measure of the spread of the values [&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":"Variance and Standard Deviation","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Variance and Standard Deviation topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/variance-and-standard-deviation\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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