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Coefficient of Variation

If the mean o...

Question

If the mean of a data set is 25 and its coefficient of variation is 20, then find the standard deviation.

A

5

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B

10

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C

15

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D

20

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Solution

The correct option is A 5
We know that,

$C . V = \frac{S t a n d a r d D e v i a t i o n}{M e a n} \times 100$ %

$\Rightarrow S t a n d a r d D e v i a t i o n = \frac{20 \times 25}{100} = 5$

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