The geometric mean is equal to the arithmetic mean when: MCQ with Answer and Explanation

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The geometric mean is equal to the arithmetic mean when:

A. Data are symmetric

B. All values are different

C. Data contain negative numbers

D. All values are equal

Answer: Option D

Solution (By JKSSB Mock Tests)

AM = GM if and only if all numbers are identical.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

The Paasche price index uses weights of:

A. Fixed quantities

B. Current period quantities

C. Base period quantities

D. Both base and current

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Correct Answer: Option B

Explanation:
Paasche = Σp₁q₁ / Σp₀q₁ × 100, using current quantities.

This question belongs to: Accountancy and Statistics Statistics

Question #2

The consistency condition (A) ≥ (AB) is:

A. Always true

B. Both A and C

C. Sometimes false

D. A necessary condition for data consistency

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Correct Answer: Option B

Explanation:
It is always logically true that the number possessing A cannot be less than those possessing both A and B, and it is required for consistency.

This question belongs to: Accountancy and Statistics Statistics

Question #3

If a population has a crude birth rate of 30 and crude death rate of 10 per 1000, the natural increase rate (per 1000) is:

A. 2

B. 40

C. 3

D. 20

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Correct Answer: Option D

Explanation:
Rate of natural increase = CBR - CDR = 30 - 10 = 20 per 1000.

This question belongs to: Accountancy and Statistics Statistics

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