Coefficient of variation of two distribution are $50 %$ and $60 %$ and their arithmetic means are $30$ and $25$ respectively. Difference of their standard deviation is:

1

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1.5

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2.5

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0

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Solution

The correct option is D $0$
As we know $C o e f f i c i e n t o f V a r i a t i o n = \frac{S t a n d a r d d e v i a t i o n}{m e a n}$
So for first case ${C V}_{1} = \frac{{(S t d . d e v i a t i o n)}_{1}}{{(m e a n)}_{1}}$
$50 %$ $= \frac{{(S t d d e v i a t i o n)}_{1}}{30}$
$\Rightarrow {(S t d)}_{1} = 15$
For second case $60 % = \frac{{(S t d)}_{1}}{25}$
$\Rightarrow {(S t d)}_{2} = 15$
So difference $= 0$

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Coefficient of variation of two distribution are 50% and 60% and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is:

The correct option is D 0As we know Coefficient of Variation=StandarddeviationmeanSo for first case CV1=(Std.deviation)1(mean)150%=(Stddeviation)130⇒(Std)1=15For second case 60%=(Std)125⇒(Std)2=15So difference =0

Coefficient of variation of two distribution are $50 %$ and $60 %$ and their arithmetic means are $30$ and $25$ respectively. Difference of their standard deviation is: