{"id":4780,"date":"2016-12-14T04:00:54","date_gmt":"2016-12-14T04:00:54","guid":{"rendered":"https:\/\/assignment.essayshark.com\/blog\/?p=4780"},"modified":"2022-01-12T10:32:00","modified_gmt":"2022-01-12T10:32:00","slug":"it-sample-constructing-a-frequency-distribution","status":"publish","type":"post","link":"https:\/\/assignmentshark.com\/blog\/it-sample-constructing-a-frequency-distribution\/","title":{"rendered":"IT Sample: Constructing a Frequency Distribution"},"content":{"rendered":"

Task:<\/strong><\/p>\n

Construct a frequency distribution with suitable class interval size of marks obtained by 50 students of a class are given below:<\/p>\n

22, 51, 34, 39, 68, 69, 9, 37, 16, 48, 36, 27, 55, 59, 60, 59, 74, 80, 19, 29, 31, 69, 62, 60, 28, 67, 51, 73, 17, 24, 44, 45, 51, 66, 68, 72, 74, 41, 57, 41, 67, 51, 53, 23, 58, 34, 39, 48, 36, 79<\/p>\n

Solution:<\/strong><\/p>\n

Arrange the marks in ascending order as<\/p>\n

9,16,17,19,22,23,24,27,28,29,31,34,34,36,36,37,39,39,41,41,44,45,48,48,51,51,51, 51,53,55,57,58,59,59,60,60,62,62,66,67,67,68,68,69,69,72,73,74,74,79<\/p>\n

\"Minimum \ Value = 9\"
\n\"Maximum \ Value = 79\"<\/p>\n

\"Range \ = \ Maximum \ Value \ - \ Minimum \ Value = 79 - 9 = 70\"<\/p>\n

\"Number \ of \ classes = 1 + 2.1*log(N) = 1 + 2.1 * log(50) = 1 + 2.1*1.70 = 4.57 \ or \ 5 \ approximate\"<\/p>\n

Class interval size:<\/p>\n

\"h = \frac{Range}{No.of \_ Classes} = \frac{70}{5} = 14\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
Marks<\/td>\nNumber of students, f<\/td>\nClass Boundary<\/td>\nClass mark, x<\/td>\n<\/tr>\n
0 – 9<\/td>\n1<\/td>\n0 – 9,5<\/td>\n(0+9)\/2 = 4,5<\/td>\n<\/tr>\n
10 – 19<\/td>\n3<\/td>\n9,5 – 19,5<\/td>\n(10+19)\/2 = 14,5<\/td>\n<\/tr>\n
20 – 29<\/td>\n6<\/td>\n19,5 – 29,5<\/td>\n(20+29)\/2 = 24,5<\/td>\n<\/tr>\n
30 – 39<\/td>\n8<\/td>\n29,5 – 39,5<\/td>\n(30+39)\/2 = 34,5<\/td>\n<\/tr>\n
40 – 49<\/td>\n6<\/td>\n39,5 – 49,5<\/td>\n(40+49)\/2 = 44,5<\/td>\n<\/tr>\n
50 – 59<\/td>\n10<\/td>\n49,5 – 59,5<\/td>\n(50+59)\/2 = 54,5<\/td>\n<\/tr>\n
60 – 69<\/td>\n11<\/td>\n59,5 – 69,5<\/td>\n(60+69)\/2 = 64,5<\/td>\n<\/tr>\n
70 – 79<\/td>\n5<\/td>\n69,5 – 79,5<\/td>\n(70+79)\/2 = 74,5<\/td>\n<\/tr>\n
<\/td>\n50<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Note: For finding the class boundaries, we take half of the difference between lower class limit of the 2nd class and upper class limit of the 1st class (20\u221219)\/2 = 0,5. This value is subtracted from lower class limit and added in upper class limit to get the required class boundaries.<\/p>\n

You can also read our relative frequency distribution example<\/a> published before as an examplary work of our experts.<\/p>\n

Do you need to complete something similar to our constructing a frequency distribution sample? That\u2019s a piece of cake with our experts. Contact AssignmentShark and receive qualified assignment help<\/a> from our experts. All of them are well-educated and have deep knowledge in the specific spheres. You can communicate with the expert via live chat. Also, you have the ability to choose the expert according to your requirements. If you don\u2019t like our constructing a frequency distribution sample you can look through other our samples and make comprehensive opinion about us. Or, you can just try the service to your own experience right now!<\/em><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Task: Construct a frequency distribution with suitable class interval size of marks obtained by 50 students of a class are given below: 22, 51, 34, 39, 68, 69, 9, 37, 16, 48, 36, 27, 55, 59, 60, 59, 74, 80, 19, 29, 31, 69, 62, 60, 28, 67, 51, 73, 17, 24, 44, 45, 51, […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53,35],"tags":[],"class_list":["post-4780","post","type-post","status-publish","format-standard","hentry","category-it","category-samples"],"_links":{"self":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/comments?post=4780"}],"version-history":[{"count":26,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4780\/revisions"}],"predecessor-version":[{"id":13021,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4780\/revisions\/13021"}],"wp:attachment":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/media?parent=4780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/categories?post=4780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/tags?post=4780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}