The co-eff. of variation of two series are 58 % and 69 %. Their standard deviations are 21.2 and 15.2. what are their means ?

Coefficient of Variation Problem:

Formula: C.V. = (σ / x̄) × 100

First Series:

C.V. = (21.2 / x̄) × 100 = 58

⇒ x̄ = (21.2 × 100) / 58 = 36.6

Second Series:

C.V. = (15.2 / x̄) × 100 = 69

⇒ x̄ = (15.2 × 100) / 69 = 22.6

Therefore:

• Mean of First Series = 36.6
• Mean of Second Series = 22.6