{"id":6373,"date":"2014-11-12T18:11:34","date_gmt":"2014-11-12T18:11:34","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=6373"},"modified":"2014-11-12T18:15:08","modified_gmt":"2014-11-12T18:15:08","slug":"statisitcs-the-meaning-of-mean-and-standard-deviation","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statisitcs-the-meaning-of-mean-and-standard-deviation\/","title":{"rendered":"Statistics:  the meaning of mean and standard deviation"},"content":{"rendered":"<h1>Tutoring math, you get asked about statistics. \u00a0The tutor offers an interpretation of mean and standard deviation.<\/h1>\n<p>Back when I was in university, there was a 2nd-year statistics course.  It was the  introductory stats course and was required for many degrees.  Of course, being in math, I had to take it.  However, I recall that business students, as well as social science students, commonly took it as well.  I rarely had those people in my classes; that stats course was the exception.<\/p>\n<p>I was told that the class had a 50 percent failure\/dropout rate &#8211; the highest of all the courses at the university.  It was even higher than calculus, which had a 40 percent non-completion rate.  However, the stats course did have the enrollment of many students who weren&#8217;t math-oriented.<\/p>\n<p>A common sentiment expressed by statistics students is that it&#8217;s hard to apply the ideas to everyday life.  In a way, the feeling is ironic, since the first couple of courses in statistics &#8211; much more than most math courses &#8211; focus on everyday applications.<\/p>\n<p>Introductory statistics focuses closely on the mean and the standard deviation of a population.  The mean is another name for the average; most people understand it as the &#8220;expected&#8221; value.  Consider mean height, for instance.  If you imagine a person you can&#8217;t see, but want to guess their height, your best guess is the mean height of the population.<\/p>\n<p>Standard deviation is harder to understand for most people.  It&#8217;s the measure of how far apart the population&#8217;s values are &#8211; how spread out they are.  Thinking of heights again:  in a population with low standard deviation, people&#8217;s heights would mainly be close to the same.  In a population with high standard deviation, the heights would likely be quite different from person to person.<\/p>\n<p>I&#8217;ll be discussing more technical aspects of mean and standard deviation in coming posts.  This, I hope, might be a good first step:)<\/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>Tutoring math, you get asked about statistics. \u00a0The tutor offers an interpretation of mean and standard deviation. Back when I was in university, there was a 2nd-year statistics course. It was the introductory stats course and was required for many &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statisitcs-the-meaning-of-mean-and-standard-deviation\/\"> <span class=\"screen-reader-text\">Statistics:  the meaning of mean and standard deviation<\/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":[3,19],"tags":[285,140,20],"class_list":["post-6373","post","type-post","status-publish","format-standard","hentry","category-math","category-statistics","tag-introductory-statistics","tag-mean","tag-standard-deviation"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6373","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=6373"}],"version-history":[{"count":11,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6373\/revisions"}],"predecessor-version":[{"id":6384,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6373\/revisions\/6384"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=6373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=6373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=6373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}