For two positive numbers, the arithmetic mean is 25 and geometric mean is 20. The harmonic mean is: MCQ with Answer and Explanation

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For two positive numbers, the arithmetic mean is 25 and geometric mean is 20. The harmonic mean is:

A. 16

B. 15

C. 22.5

D. 18

Answer: Option A

Solution (By JKSSB Mock Tests)

For two numbers, HM = GM² / AM = (20)² / 25 = 400/25 = 16.

This question belongs to: Accountancy and Statistics Statistics

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If all observations are multiplied by a constant k, the geometric mean is multiplied by:

A. 1/k

B. k/n

C. k²

D. k

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Correct Answer: Option D

Explanation:
GM of (kx) = k × GM of x, since GM(kx) = (kⁿ ∏x)^(1/n) = k (∏x)^(1/n).

This question belongs to: Accountancy and Statistics Statistics

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The General Fertility Rate is affected by:

A. Marital status distribution

B. Total population size

C. Age structure of women of reproductive age

D. Both A and B

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Correct Answer: Option D

Explanation:
GFR does not account for age-marital composition; thus it is influenced by the proportion of married women and age distribution within 15-49.

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Pilot survey helps in:

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Correct Answer: Option A

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