If all observations are multiplied by a constant k, the geometric mean is multiplied by: MCQ with Answer and Explanation

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

A. k²

B. 1/k

C. k/n

D. k

Answer: Option D

Solution (By JKSSB Mock Tests)

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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Practice More Statistics Questions

Question #1

For any two events A and B, P(A∪B) is:

A. Both A and B

B. Always ≤ P(A) + P(B)

C. Always ≥ P(A∩B)

D. Always ≤ 1

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Correct Answer: Option A

Explanation:
By the addition rule, P(A∪B) ≤ P(A)+P(B), and probability of any event is ≤1.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for positive numbers. Reason (R): Because geometric mean is a measure of central tendency.

A. A false, R true

B. A true, R false

C. Both A and R true, but R is not correct explanation

D. Both A and R true, and R is correct explanation of A

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Correct Answer: Option C

Explanation:
The inequality AM ≥ GM is a mathematical truth; the reason given does not explain why it holds.

This question belongs to: Accountancy and Statistics Statistics

Question #3

An ogive is used to determine:

A. Standard deviation

B. Median

C. Mean

D. Mode

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Correct Answer: Option B

Explanation:
The median can be read from the ogive at the N/2 cumulative frequency.

This question belongs to: Accountancy and Statistics Statistics

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