Statistics And Probability Question 417

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

[DCE 1996]

Options:

A) 50%

B) 10%

C) 40%

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ S\text{.D}\text{.} $ $ (\sigma )=\sqrt{\frac{250}{10}}=\sqrt{25}=5 $ Hence, coefficient of variation $ =\frac{\sigma }{mean}\times 100 $ $ =\frac{5}{50}\times 100=10 $ %.