The geometric mean of a set of values is less than or equal to the arithmetic mean. This is known as: MCQ with Answer and Explanation

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The geometric mean of a set of values is less than or equal to the arithmetic mean. This is known as:

A. Central limit theorem

B. AM-GM inequality

C. Bayes' theorem

D. Time reversal test

Answer: Option B

Solution (By JKSSB Mock Tests)

For non-negative numbers, AM ≥ GM always holds.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Which part of a statistical table provides an explanation of the abbreviations or symbols used in the table?

A. Headnote

B. Footnote

C. Stub

D. Title

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Correct Answer: Option B

Explanation:
Footnotes are placed at the bottom of the table to clarify any specific entries, symbols, or abbreviations.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Which measure of central tendency is defined only when all observations are positive?

A. Median

B. Mode

C. Geometric mean (for meaningful result) and Harmonic mean (for positive numbers, but GM is undefined for negatives/zero)

D. Arithmetic mean

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Correct Answer: Option C

Explanation:
Geometric mean requires all positive values; otherwise it's undefined or zero. Harmonic mean also requires non-zero values, but GM is more restricted. Actually, GM is defined only for positive data if we want real numbers. So C.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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The formula for weighted arithmetic mean is:

A. Σx / Σw

B. Σwx / Σw

C. Σwx / n

D. Σw / Σx

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Correct Answer: Option B

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

This question belongs to: Accountancy and Statistics Statistics

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