{"id":214,"date":"2024-05-02T08:44:06","date_gmt":"2024-05-02T08:44:06","guid":{"rendered":"https:\/\/qpr.ca\/blogs\/mathstuff\/?p=214"},"modified":"2024-05-02T08:46:39","modified_gmt":"2024-05-02T08:46:39","slug":"why-sd-uses-squares-rather-than-abs-val","status":"publish","type":"post","link":"https:\/\/qpr.ca\/blogs\/mathstuff\/2024\/05\/02\/why-sd-uses-squares-rather-than-abs-val\/","title":{"rendered":"Why SD uses squares (rather than abs val)"},"content":{"rendered":"<p>It&#8217;s not just for computational convenience.<\/p>\n<p>rms SD minimizes expected distance from mean while avg of abs val does it for the median<\/p>\n<p>Source: <em><a href=\"https:\/\/www.quora.com\/Why-are-standard-deviations-calculated-the-way-they-are-I-understand-the-method-subtract-the-mean-from-each-value-then-get-the-square-root-of-the-mean-of-the-squared-differences-but-what-fundamental-principle-does\/answer\/Nikolas-Scholz\">(1000) Nikolas Scholz&#8217;s answer to Why are standard deviations calculated the way they are? I understand the method (subtract the mean from each value, then get the square-root of the mean of the squared differences), but what fundamental principle does this method derive from? &#8211; Quora<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s not just for computational convenience. rms SD minimizes expected distance from mean while avg of abs val does it for the median Source: (1000) Nikolas Scholz&#8217;s answer to Why are standard deviations calculated the way they are? I understand the method (subtract the mean from each value, then get the square-root of the mean&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,1],"tags":[5,4],"class_list":["post-214","post","type-post","status-publish","format-standard","hentry","category-fromquora","category-uncategorized","tag-sd","tag-statistics"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/214","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/comments?post=214"}],"version-history":[{"count":1,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/214\/revisions"}],"predecessor-version":[{"id":215,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/posts\/214\/revisions\/215"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/media?parent=214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/categories?post=214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/mathstuff\/wp-json\/wp\/v2\/tags?post=214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}