For a set of positive numbers, the harmonic mean is always: MCQ with Answer and Explanation

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For a set of positive numbers, the harmonic mean is always:

A. Equal to the median

B. Less than or equal to geometric mean

C. Greater than geometric mean

D. Greater than arithmetic mean

Answer: Option B

Solution (By JKExamLibrary)

For positive numbers, AM ≥ GM ≥ HM. So HM ≤ GM.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error

Gross Reproduction Rate (GRR) of 1.5 means:

A. A woman will bear 1.5 daughters on average

B. A woman will bear 1.5 children

C. 1.5 children per 1000 women

D. 1.5% population growth

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Correct Answer: Option A

Explanation:
GRR is average number of daughters per woman, ignoring mortality.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Total Fertility Rate (TFR) is obtained by summing age-specific fertility rates and multiplying by:

A. 1000

B. 1

C. 5 if 5-year age groups are used

D. 10

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Correct Answer: Option C

Explanation:
Because each ASFR is per 1000 women for a 5-year span, the sum is multiplied by 5 to give children per woman.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

The formula for weighted arithmetic mean is:

A. Σw / Σx

B. Σx / Σw

C. Σwx / n

D. Σwx / Σw

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Correct Answer: Option D

Explanation:
Weighted mean = Σ(w_i x_i) / Σ w_i.

This question belongs to: Accountancy and Statistics Statistics

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