The coefficients of variation of two distributions are 50 and 60 and their standard deviations are 25 and 15, respectively. What are their arithmetic means?

Given:

• C.V. (1st distribution) = 50
• σ₁ = 25
• C.V. (2nd distribution) = 60
• σ₂ = 15

Let x̄₁ and x̄₂ be the means of 1st and 2nd distributions.

For the 1st distribution:   

C.V. = (σ₁ / x̄₁) × 100

50 = (25 / x̄₁) × 100

x̄₁ = (25 / 50) × 100 = 50

For the 2nd distribution:

C.V. = (σ₂ / x̄₂) × 100

60 = (15 / x̄₂) × 100

x̄₂ = (15 / 60) × 100 = 25

Therefore:

• Arithmetic mean of 1st distribution = 50
• Arithmetic mean of 2nd distribution = 25