{"id":4752,"date":"2016-12-10T04:00:00","date_gmt":"2016-12-10T04:00:00","guid":{"rendered":"https:\/\/assignment.essayshark.com\/blog\/?p=4752"},"modified":"2023-01-05T12:17:29","modified_gmt":"2023-01-05T12:17:29","slug":"relative-frequency-distribution-example","status":"publish","type":"post","link":"https:\/\/assignmentshark.com\/blog\/relative-frequency-distribution-example\/","title":{"rendered":"Relative Frequency Distribution Example"},"content":{"rendered":"

Relative frequency \u2013 is how often something happens divided by all outcomes.<\/strong><\/em><\/p>\n

Example 1:<\/strong><\/p>\n

We have the frequency distribution of the chips \u201cPringles\u201d at 40 different shops.<\/p>\n\n\n\n\n\n\n\n
Price for 1 bank of chips<\/td>\nNumber of shops<\/td>\n<\/tr>\n
$23.50\u2013$23.74<\/td>\n11<\/td>\n<\/tr>\n
$23.75\u2013$23.99<\/td>\n9<\/td>\n<\/tr>\n
$24.00\u2013$24.24<\/td>\n10<\/td>\n<\/tr>\n
$24.25\u2013$24.49<\/td>\n10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Find the relative frequency for shops prices.<\/p>\n

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

According to the given information, we can build a relative frequency for shops prices:<\/p>\n\n\n\n\n\n\n\n
Price for 1 bank of chips<\/td>\nNumber of shops<\/td>\nRelative frequency (fraction)<\/td>\nRelative frequency (percent)<\/td>\n<\/tr>\n
$23.50\u2013$23.74<\/td>\n11<\/td>\n11\/40 = 0.275<\/td>\n27.5%<\/td>\n<\/tr>\n
$23.75\u2013$23.99<\/td>\n9<\/td>\n9\/40 = 0.225<\/td>\n22.5%<\/td>\n<\/tr>\n
$24.00\u2013$24.24<\/td>\n10<\/td>\n10\/40 = 0.25<\/td>\n25%<\/td>\n<\/tr>\n
$24.25\u2013$24.49<\/td>\n10<\/td>\n10\/40 = 0.25<\/td>\n25%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

With a sample size of 40 shops, we have divided each number of shops by 40. The result can be written as a fraction or as a percentage. For example, 25% of shops have relative frequency of prices between $24.25 and $24.49.<\/p>\n

Example 2:<\/strong><\/p>\n

We have the weight of 100 persons in the school. We should find relative frequency for each weight limits.<\/p>\n\n\n\n\n
Weight (kg)<\/em><\/td>\n60-62<\/td>\n63-65<\/td>\n66-68<\/td>\n69-71<\/td>\n72-74<\/td>\n<\/tr>\n
\u2116 of persons<\/em><\/td>\n6<\/td>\n17<\/td>\n40<\/td>\n29<\/td>\n8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

The relative frequency for each weight limits is shown in table below:<\/p>\n\n\n\n\n\n\n\n\n\n
Relative frequency table<\/td>\n<\/tr>\n
Weight (kg)<\/td>\n\u2116 of persons<\/td>\nRelative frequency<\/td>\n<\/tr>\n
60-62<\/td>\n6<\/td>\n6\/100 = 0.06 or 6%<\/td>\n<\/tr>\n
63-65<\/td>\n17<\/td>\n17\/100 = 0.17 or 17%<\/td>\n<\/tr>\n
66-68<\/td>\n40<\/td>\n40\/100 = 0.40 or 40%<\/td>\n<\/tr>\n
69-71<\/td>\n29<\/td>\n29\/100 = 0.29 or 29%<\/td>\n<\/tr>\n
72-74<\/td>\n8<\/td>\n8\/100 = 0.08 or 8%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The lowest frequency is for the weight 60-62 kg, and the biggest – is for the weight 66-68 kg.<\/p>\n

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Relative frequency \u2013 is how often something happens divided by all outcomes. Example 1: We have the frequency distribution of the chips \u201cPringles\u201d at 40 different shops.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[35,61],"tags":[],"class_list":["post-4752","post","type-post","status-publish","format-standard","hentry","category-samples","category-statistics"],"_links":{"self":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4752","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=4752"}],"version-history":[{"count":22,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4752\/revisions"}],"predecessor-version":[{"id":13317,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/4752\/revisions\/13317"}],"wp:attachment":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/media?parent=4752"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/categories?post=4752"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/tags?post=4752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}