Find the mean, the median, the mode from the following distribution.
Earnings (Rs.) 66-67 67-68 68-69 69-70 70-71 71-72
No of Persons 15 24 40 20 14 11
Answers
Given :
Earnings (Rs.) 66-67 67-68 68-69 69-70 70-71 71-72
No of Persons 15 24 40 20 14 11
To find : Mean median and Mode
Solution :
CI f cf x xf
66-67 15 15 66.5 997.5
67-68 24 39 67.5 1620
68-69 40 79 68.5 2740
69-70 20 99 69.5 1390
70-71 14 113 70.5 987
71-72 11 124 71.5 786.5
124 8521
Modal class 68 - 69
Mode = 68 + 1 * ( 40 - 24)/(40 - 24 + 40 - 20)
= 68 + 16/36
= 68.444
124/2 = 62
Median class 68 - 69
Median = 68 + 1 * ( 62 - 39)/40
= 68 + 23/40
= 60 + 575
Mean = 8521/124 = 68.718
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