Question

If the mean and coefficient of variation of a data are 15 and 48 respectively, then find the value of standard deviation.

Answer 1

Mean `(barx)` = 15

Coefficient of variation = 48

`sigma/(barx) xx 100` = 48

⇒`sigma/15 xx 100` = 48

σ × 100 = 48 × 15

σ = `(48 xx 15)/100`

= `720/100`

= 7.2

Standard deviation (σ) = 7.2