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Question: The sum of squares of deviations for 10 observations taken from mean 50 is 250. The co-efficient of ...

The sum of squares of deviations for 10 observations taken from mean 50 is 250. The co-efficient of variation is

A

50%

B

10%

C

40%

D

None of these

Answer

10%

Explanation

Solution

S.D.(σ)=25010=25=5\text{S.D.}(\sigma) = \sqrt{\frac{250}{10}} = \sqrt{25} = 5

Hence, coefficient of variation=σmean×100= \frac{\sigma}{\text{mean}} \times 100

=550×100=10= \frac{5}{50} \times 100 = 10%.