35
If the mean and variance of a distribution is 33 and 121 respectively, find coefficient variation.
- A33.33%
- B35.35%
- C31.31%
- D37.37%
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CCommunity
We know,
Coefficient of variation $(\frac{{S.D}}{{Mean}} \times 100)$
And
$(S.D = \sqrt {Variance})$
$(\Rightarrow S.D = \sqrt {121} = 11)$
⇒ Coefficient of variation $(= \frac{{11}}{{33}} \times 100 = 33.33\% )$
Coefficient of variation $(\frac{{S.D}}{{Mean}} \times 100)$
And
$(S.D = \sqrt {Variance})$
$(\Rightarrow S.D = \sqrt {121} = 11)$
⇒ Coefficient of variation $(= \frac{{11}}{{33}} \times 100 = 33.33\% )$