{"id":13878,"date":"2016-01-14T21:47:19","date_gmt":"2016-01-14T21:47:19","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=13878"},"modified":"2016-01-14T21:47:19","modified_gmt":"2016-01-14T21:47:19","slug":"statistics-estimation-of-standard-deviation-holiday-weight-gain","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statistics-estimation-of-standard-deviation-holiday-weight-gain\/","title":{"rendered":"Statistics:  estimation of standard deviation:  holiday weight gain"},"content":{"rendered":"<h1>The tutor estimates the standard deviation of holiday weight gain.<\/h1>\n<p>I hoped to lose weight over the holiday season; alas, I gained a pound.  Searching the internet for opinions about it, I came upon <a href=\"http:\/\/blogs.plos.org\/obesitypanacea\/2014\/12\/17\/the-truth-about-holiday-weight-gain-2\/\">this surprising article,<\/a> which suggests that the average weight gain over the holiday season is perhaps less than a pound.<\/p>\n<p>Let&#8217;s be safe and call the mean gain exactly a pound.  A mean, without a standard deviation, is of limited use. (\u03bc=mean, \u03c3=standard deviation)  However, we can estimate \u03c3 by another claim of the article &#8211; its estimate that less than 10% of people experience weight gain 5lbs or more over the holidays.<\/p>\n<p>According to the normal distribution table, 90% of the distribution is less than \u03bc+1.28\u03c3.  With the estimate \u03bc=1lb, this implies 1+1.28\u03c3=5\u21921.28\u03c3=4\u2192\u03c3=4\/1.28=3.125lbs.  Apparently, the average holiday weight gain could be 1lb, with standard deviation 3.125lbs.<\/p>\n<p>I&#8217;ll be commenting on implications of this estimate in a coming post. In the meantime, let&#8217;s keep working off that holiday gain:)<\/p>\n<p>Source:<\/p>\n<p>Harnett, Donald L. and James L. Murphy.  <i>Statistical Analysis for Business and<br \/>&nbsp;&nbsp; Economics<\/i>.  Don Mills:  Addison-Wesley, 1993.<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor estimates the standard deviation of holiday weight gain. I hoped to lose weight over the holiday season; alas, I gained a pound. Searching the internet for opinions about it, I came upon this surprising article, which suggests that &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statistics-estimation-of-standard-deviation-holiday-weight-gain\/\"> <span class=\"screen-reader-text\">Statistics:  estimation of standard deviation:  holiday weight gain<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[1343,1342,292],"class_list":["post-13878","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-estimate-of-standard-deviation","tag-holiday-weight-gain","tag-normal-distribution"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13878","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=13878"}],"version-history":[{"count":18,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13878\/revisions"}],"predecessor-version":[{"id":13896,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13878\/revisions\/13896"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=13878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=13878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=13878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}