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Question

Mathematics Question on Statistics

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

A

0.5

B

0.1

C

0.4

D

none of these.

Answer

0.1

Explanation

Solution

S.D.(σ)=25010=25=5S.D.\left(\sigma\right)=\sqrt{\frac{250}{10}}=\sqrt{25}=5 Hence, coefficient of variation =σmean×100=\frac{\sigma}{mean}\times100 =550×100=10%.=\frac{5}{50}\times100=10\%.