Question

The standard deviation and coefficient of variation of a data are 1.2 and 25.6 respectively. Find the value of mean.

Answer 1

Standard deviation (σ) = 1.2

Coefficient of variation = 25.6

`sigma/bar(x) xx 100` = 25.6

`1.2/bar(x) xx 100` = 25.6

⇒ `25.6 xx bar(x)` = 1.2 × 100

`bar(x) = 120/25.6`

= `(120 xx 10)/256`

= 4.687

= 4.69

Value of mean = 4.69