{"id":2705,"date":"2013-10-26T19:47:42","date_gmt":"2013-10-26T19:47:42","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=2705"},"modified":"2013-10-26T19:47:42","modified_gmt":"2013-10-26T19:47:42","slug":"statistics-calculating-the-standard-deviation-using-the-sharp-el-520w","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statistics-calculating-the-standard-deviation-using-the-sharp-el-520w\/","title":{"rendered":"Statistics:  Calculating the standard deviation using the Sharp EL-520W"},"content":{"rendered":"<h1>Tutoring math, you get asked about statistics. \u00a0The tutor offers an article which might be of interest to stats students.<\/h1>\n<p>Calculating standard deviation by hand can be laborious. \u00a0Keeping track of what you&#8217;ve entered, making sure the brackets have been put in right&#8230;most people (including myself) will unlikely enter everything correctly the first time. \u00a0In a future post, I&#8217;ll show a way to organize the procedure so you <em>do<\/em> succeed. \u00a0Today, though, I have some better news: \u00a0maybe you don&#8217;t have to.<\/p>\n<p>I&#8217;ve never met a scientific calculator without a standard deviation function. \u00a0Today, for instance, we have the Sharp EL-520W. \u00a0I don&#8217;t own any other Sharp calculators, but I imagine this process will be similar for most Sharps worth between $8 and $25.<\/p>\n<p><strong>Example: \u00a0Find the standard deviation of the following list: \u00a0{-18,16,0,45,100,32,27}<\/strong><\/p>\n<p><strong>Solution:<\/strong> With the Sharp EL-520W, you need to go into STAT mode to access the statistical functions.<\/p>\n<p>Press <span style=\"color: white; background: black;\">MODE<\/span>. You&#8217;ll see a choice of NORMAL or STAT. Press <span style=\"color: white; background: black;\">1<\/span> for STAT mode. You arrive at another list of choices: SD, LINE, or QUAD. Press <span style=\"color: white; background: black;\">0<\/span> for SD. You should now be back at the calculation screen, with STAT 0 showing at top left.<\/p>\n<p>We are ready to enter our numbers, as follows:<\/p>\n<p>Type in -18, then the <span style=\"color: white; background: black;\">DATA<\/span> key. Note: the key&#8217;s main label is <span style=\"color: green;\">M+<\/span>; however, if you look at the printing below it, you&#8217;ll see the DATA label in white.<\/p>\n<p>You&#8217;ll know if it&#8217;s working: after you press the data key, you should see DATA SET= across the top. Right now, a 1 should appear, since -18 is your first number.<\/p>\n<p>Next, type in 16, then press the <span style=\"color: white; background: black;\">DATA<\/span> key. You should now see DATA SET= with a 2. The 2 means, of course, that 16 is your second number.<\/p>\n<p>Continue:  enter each number, then <span style=\"color:white;background:black\">DATA<\/span>. After keying in 27, then <span style=\"color: white; background: black;\">DATA<\/span>, you should see DATA SET= with 7. Having entered all seven values in the data set, you are ready to find the standard deviation.<\/p>\n<p>Look at the <span style=\"color: white; background: black;\">6<\/span> key. The\u00a0<span style=\"color:green\">\u03c3<sub>x<\/sub><\/span> label appears in green just above it to the right. Because\u00a0<span style=\"color:green\">\u03c3<sub>x<\/sub><\/span> appears in green, we need to press the green <span style=\"color: white; background: green;\">ALPHA<\/span> key to access the\u00a0<span style=\"color:green\">\u03c3<sub>x<\/sub><\/span> function.<\/p>\n<p>Press <span style=\"color: white; background: green;\">ALPHA<\/span> <span style=\"color: white; background: black;\">6<\/span> <span style=\"color: white; background: black;\">=<\/span>. You should get the result 34.9.<\/p>\n<p>A few points:<\/p>\n<p>1) You will notice that the <span style=\"color: white; background: black;\">5<\/span> key has a green <span style=\"color: green;\">s<sub>x<\/sub><\/span> label above it to the right. s<sub>x<\/sub> means\u00a0\u03c3<sub>n-1<\/sub>. If your statistics course prefers\u00a0\u03c3<sub>n-1<\/sub>, use <span style=\"color:white;background:green\">ALPHA<\/span> <span style=\"color:white;background:black\">5<\/span>instead of <span style=\"color:white;background:green\">ALPHA<\/span>  <span style=\"color:white;background:black\">6<\/span>.<\/p>\n<p>2) Before entering a new data set, you should clear the memory, so that no old data affects your new results.  Therefore, press <span style=\"color:white;background:orange\">2nd F<\/span> <span style=\"color:white;background:black\">MODE<\/span> to &#8220;Clear All.&#8221;<\/p>\n<p>3) When you&#8217;re done with statistical calculations, you might want to return to the mode you were at previously.  Most likely, it was normal mode.  Press <span style=\"color:white;background:black\">MODE<\/span> <span style=\"color:white;background:black\">0<\/span> to get back.<\/p>\n<p>In upcoming posts, I&#8217;ll outline the standard deviation procedure for other scientific calculators.<\/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 article which might be of interest to stats students. Calculating standard deviation by hand can be laborious. \u00a0Keeping track of what you&#8217;ve entered, making sure the brackets have been &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statistics-calculating-the-standard-deviation-using-the-sharp-el-520w\/\"> <span class=\"screen-reader-text\">Statistics:  Calculating the standard deviation using the Sharp EL-520W<\/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":[],"class_list":["post-2705","post","type-post","status-publish","format-standard","hentry","category-math","category-statistics"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/2705","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=2705"}],"version-history":[{"count":46,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/2705\/revisions"}],"predecessor-version":[{"id":2751,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/2705\/revisions\/2751"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=2705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=2705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=2705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}