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  4. If coefficient of variation is 60 and standard deviation is 24, then Arithmetic mean is

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Q. If coefficient of variation is $60$ and standard deviation is $24$, then Arithmetic mean is

KCETKCET 2017Statistics

Solution:

We have,
$C \cdot V =60, \sigma=64$
We know that
$ C \cdot V =\frac{\sigma}{\bar{x}} \times 100 $
$\Rightarrow 60 =\frac{24}{\bar{x}} \times 100 $
$ \Rightarrow \bar{x} =\frac{24 \times 100}{60} $
$ \Rightarrow \bar{x} =40 $
$\therefore $ Arithmetic means $=40$