Question 67

In a cricket match, the scores of the players are considered such that coefficient of
variation of scores is 16 and mean is 25.then the variance is:

Solution

Given In a cricket match the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 . Then the variance is

We know that coefficient of variation is given by standard deviation / mean.

Let the standard deviation be x

 So coefficient of variation = standard deviation / mean x 100 in percent

                  16 = x / 25 x 100  

      So x = 4 %

Also variance is square of standard deviation. So variance is (4)^2 = 16%


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