{"id":54696,"date":"2016-05-15T15:42:59","date_gmt":"2016-05-15T22:42:59","guid":{"rendered":"http:\/\/www.lankaweb.com\/news\/items\/?p=54696"},"modified":"2016-05-15T15:42:59","modified_gmt":"2016-05-15T22:42:59","slug":"an-open-letter-to-the-director-at-n-i-e-sri-lanka","status":"publish","type":"post","link":"https:\/\/www.lankaweb.com\/news\/items\/2016\/05\/15\/an-open-letter-to-the-director-at-n-i-e-sri-lanka\/","title":{"rendered":"An Open Letter to the Director at N.I.E Sri Lanka"},"content":{"rendered":"<h2><span style=\"color: #0000ff;\"><em>Jay Deshabandu<\/em><\/span><\/h2>\n<p>Director,<\/p>\n<p>Department of Mathematics<\/p>\n<p>Faculty of Science and Technology<\/p>\n<p>National Institute of Education<\/p>\n<p>Maharagma<\/p>\n<p>I became interested in giving a Mathematics contest in order to increase and motivate our students\u2019 interest in learning Mathematics. In order to design a Mathematics test, I read your grade 11 Mathematics syllabus which is officially published by your institute.<\/p>\n<p>In the Statistics part of the syllabus, the definition of a histogram is not what the rest of the world follows. In your syllabus it says that a digram of frequencies verses class widths as a histogram. And, it further clearly indicates that in the case of equal class widths, the area of a bar is equal to the frequency. \u00a0In a formal definition of many good books on Statistics, The y-axis is chosen as frequency density-not just frequency. Thus frequency density times the class width gives the area of the bars which is the frequency. Please note that If frequencies are chosen for y-axis, it is called a bar graph not a histogram.<\/p>\n<p>The proper definition is a key to begin a study of probability distributions because in a discrete probability distribution, the y-axis is chosen for the probability density function, which is equal to a histogram where y-axis is chosen as relative frequency density. So the proper definition lends to the idea of probability density function for a discrete random variable. \u00a0The idea of a probability density function for a continuous function is an extension of the idea of probability distribution function for a discrete random variable.<\/p>\n<p>Besides, if our students use the definition of a histogram according to your syllabus, they will give wrong answers to international examinations in Statistics such as A-level, Cambridge International Examinations and M.E. I and Edexcel.<\/p>\n<p>I hope that you would pay your kind attention to the above for the sake of Students in Sri Lanka.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jay Deshabandu Director, Department of Mathematics Faculty of Science and Technology National Institute of Education Maharagma I became interested in giving a Mathematics contest in order to increase and motivate our students\u2019 interest in learning Mathematics. In order to design a Mathematics test, I read your grade 11 Mathematics syllabus which is officially published by [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-54696","post","type-post","status-publish","format-standard","hentry","category-jay-deshabandu"],"_links":{"self":[{"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/posts\/54696","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/comments?post=54696"}],"version-history":[{"count":0,"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/posts\/54696\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/media?parent=54696"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/categories?post=54696"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lankaweb.com\/news\/items\/wp-json\/wp\/v2\/tags?post=54696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}