{"id":1416,"date":"2019-01-08T04:39:33","date_gmt":"2019-01-08T04:39:33","guid":{"rendered":"https:\/\/kellyfish.me\/?p=1416"},"modified":"2019-01-12T07:09:42","modified_gmt":"2019-01-12T07:09:42","slug":"mean-median-mode-and-range","status":"publish","type":"post","link":"https:\/\/kellyfish.me\/index.php\/2019\/01\/08\/mean-median-mode-and-range\/","title":{"rendered":"Mean, Median, Mode, and Range"},"content":{"rendered":"<p><span style=\"color: #000000; font-family: 'book antiqua', palatino, serif; font-size: 12pt;\">[latexpage]<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; color: #000000;\">Fun Math for Girls<br \/>By Kelly Tan<br \/><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1538 aligncenter\" src=\"https:\/\/i0.wp.com\/kellyfish.me\/wp-content\/uploads\/2019\/01\/candyByColor.jpg?resize=300%2C188&#038;ssl=1\" alt=\"\" width=\"300\" height=\"188\" srcset=\"https:\/\/i0.wp.com\/kellyfish.me\/wp-content\/uploads\/2019\/01\/candyByColor.jpg?resize=300%2C188&amp;ssl=1 300w, https:\/\/i0.wp.com\/kellyfish.me\/wp-content\/uploads\/2019\/01\/candyByColor.jpg?resize=318%2C200&amp;ssl=1 318w, https:\/\/i0.wp.com\/kellyfish.me\/wp-content\/uploads\/2019\/01\/candyByColor.jpg?w=640&amp;ssl=1 640w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Do you like eating candy? Imagine if you and your 4 friends, Ashley, Brenda, Carol, and Diana, decide to bring some candy to share with each other.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:post-content -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">However, you guys don\u2019t bring the same amount. Ashley brings 8 pieces, Brenda brings 3 pieces, Carol brings 12 pieces, Diana brings 4 pieces, and you bring 8 pieces.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Because you guys are friends, you agree on splitting the candy pieces so that everyone gets an equal amount. How would you accomplish this? Here is where you can use your math skills:<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">First, gather the candy pieces into one large pile and count how many pieces are in it.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Second, divide this number that you just counted by the number of people in the group. In this case, there are 5 people (you and your 4 friends), so you would divide by 5.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Writing this out as an equation, you get: $\\frac{8+3+12+4+8}{5} = 7$. So each person gets 7 pieces. This value is called the average, or the <em>mean<\/em>.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">In general, you can find the <em>mean <\/em>by adding up the numbers, then dividing by how many numbers there are.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Have you heard of median, mode or range? Do you know how to find them? Well, continue reading to learn how to calculate these three values.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">It is important that you first list the numbers in order from smallest to greatest: 3, 4, <strong>8<\/strong>, 8, 12. The <em>median<\/em> is the number in the middle of the list. Here, this would be 8.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Let\u2019s say Ashley is sick today, and only 4 people brought candy. The list would be 3, 4, 8, 12. There\u2019s no middle number here. How would you find the median? You do this by finding the <em>average <\/em>of the middle two numbers. This would be $\\frac{4+8}{2}= 7$. So now you know how to find the median of any list.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">The mode is the number that occurs most often in the list. What is the mode in this list (3, 4, 8, 8, 12)? There is one 3, one 4, two 8\u2019s, and one 12. Therefore, the mode is 8. (The median and mode aren\u2019t usually the same value, it\u2019s just the same for this example).<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Finally, you can calculate the <em>range <\/em>by doing: maximum value &#8211; minimum value. The maximum value in this list is 12 pieces, and the minimum is 3 pieces. Therefore, the range is 12-3 = 9 pieces.<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">To summarize:<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Mean = average = $\\frac{Sum\u00a0 of\u00a0 numbers}{How\u00a0 many\u00a0 numbers\u00a0 there\u00a0 are}$<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Median = Number in the middle of the list<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Mode = Number that occurs most often<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">Range: Maximum value &#8211; minimum value<\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif; font-size: 14pt; color: #000000;\">The mean, median, mode, and range are extremely important in a field of mathematics called statistics. Now you know how to calculate all of these.<\/span><\/p>\r\n<p><span style=\"font-family: 'times new roman', times, serif;\"><!-- \/wp:paragraph --><\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>[latexpage] Fun Math for GirlsBy Kelly Tan Do you like eating candy? Imagine if you and your 4 friends, Ashley, Brenda, Carol, and Diana, decide to bring some candy to share with each other. However, you guys don\u2019t bring the same amount. Ashley brings 8 pieces, Brenda brings 3 pieces, Carol brings 12 pieces, Diana [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1538,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[28],"tags":[],"class_list":["post-1416","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/kellyfish.me\/wp-content\/uploads\/2019\/01\/candyByColor.jpg?fit=640%2C402&ssl=1","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/posts\/1416","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/comments?post=1416"}],"version-history":[{"count":9,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/posts\/1416\/revisions"}],"predecessor-version":[{"id":1544,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/posts\/1416\/revisions\/1544"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/media\/1538"}],"wp:attachment":[{"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/media?parent=1416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/categories?post=1416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kellyfish.me\/index.php\/wp-json\/wp\/v2\/tags?post=1416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}