Question

If the variance of 5,7,9 and 11 is 4 then the coefficient of variation is

Answer 1

If the variance of 5,7,9 and 11 is 4 then the coefficient of variation is 12.5%

Step-by-step explanation:

The mean of the given numbers

$M=\frac{5+7+9+11}{4}$

$\implies M=16$

The variance is given to be 4

We know that

$\boxed{\text{Standard Deviation}=\sqrt{\text{Variance}}}$

Therefore,

$\text{Standard Deviation}=\sqrt{4}=2$

Also

$\boxed{\text{Coefficient of Variation}=\frac{\text{Standard Deviation}}{\text{Mean}}\times 100}$

Therefore,

$\text{Coefficient of Variation}=\frac{2}{16}\times 100$

or, $\text{Coefficient of Variation}=12.5\%$

Hope this helps.

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Answer 2

Answer:

25

Step-by-step explanation:

mean = 5+7+9+11/4 = 32/4= 8

S.D. = √variance

S.D. = √4=2

hence : coefficient of variance = S.D./MEAN

which is

2/8 = 1/4×100

= 25

hence the right answer is 25