Question

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

Options

• 3.5

• 3

• 4.5

• 2.5

Answer 1

3.5

Explanation;

Hint:

`bar(x)` = 4, coefficient of variation = 87.5%

C.V. = `sigma/bar(x) xx 100`

⇒ 87.5 = `sigma/4 xx 100`

σ = `(87.5 xx 4)/100`

⇒ = 3.5