Coefficient of variation of two distributions are 60% and 70% and their standard deviations are 21 and 16 respectively. What are their arithmetic means?

Explanation

The coefficient of variation of a distribution is denoted by V.

The standard deviation of a distribution is denoted by σ .

The relation between the standard deviation and the coefficient of variation of a distribution is given as

V=σX¯¯¯¯×100 , where X¯¯¯¯ is the mean of the distribution.

It is given that the coefficient for the first distribution is 60% and the standard deviation (S.D) for this distribution is 21.


This means that `V1=60 and σ1=21` .

Let the mean of the first distribution be X¯¯¯¯1 .

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