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Question 7
The weights (in kg) of 50 wrestlers are recorded in the following table.
Weight(in~kg)100110110120120130130140140150Number of wrestlers4142183
Find the mean weight of the wrestlers.

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Solution

We first find the class mark xi, of each class and then proceed as follows
Weight~(in~kg) Number~of~wrestlers(fi)Class~marks(xi)Deviations di=xiafidi10011041052080110120141151014012013021a=125001301408135108014015031452060N=fi=50fidi=80
Assumed mean (a) = 125,
Class width (h) = 10 and total observation (N) = 50
By assumed mean method,
Mean (¯x)=a+fidifi
=125+(80)50
=1251.6=123.4kg

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