Coefficient of variation of two distributions are 50 and 60 and their arithmetic means are 30 and 25 , respectively. Difference of their standard deviation is

Step-by-step solution

Given, coefficient of variation C 1 = 50 and coefficient of variation C 2 = 60 . We have, x ¯ 1 = 30 and x ¯ 2 = 25 ∵   C = σ x ¯ × 100 50 = σ 1 30 × 100 ⇒   σ 1 = 15 and 60 = σ 2 25 × 100 ⇒   σ 2 = 15 ∴ Required difference σ 1 - σ 2 = 15 - 15 = 0