The geometric mean is undefined if the data contains: MCQ with Answer and Explanation

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The geometric mean is undefined if the data contains:

A. Values greater than 1

B. Negative numbers and zero

C. Positive numbers only

D. Only fractions

Answer: Option B

Solution (By JKSSB Mock Tests)

GM is defined only for positive numbers; zero or negative values are not allowed.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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For a given data, Σp₁q₀ = 600, Σp₀q₀ = 500, Σp₁q₁ = 700, Σp₀q₁ = 600. The value index is:

A. 116.67

B. 120

C. 140

D. 125

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Correct Answer: Option C

Explanation:
Value index = (Σp₁q₁ / Σp₀q₀) × 100 = 700/500 × 100 = 140.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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The CPI (Rural) and CPI (Urban) are released by:

A. Labour Bureau

B. RBI

C. National Statistical Office

D. Finance Ministry

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Correct Answer: Option C

Explanation:
NSO compiles CPI for rural and urban areas separately.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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If every observation in a dataset is doubled, the arithmetic mean:

A. Increases by 2

B. Is also doubled

C. Remains unchanged

D. Becomes half

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Correct Answer: Option B

Explanation:
Mean is affected by change of scale; multiplying by 2 scales the mean by 2.

This question belongs to: Accountancy and Statistics Statistics

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