If the mode is 24 and median is 25, the approximate arithmetic mean using empirical relation is: MCQ with Answer and Explanation

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If the mode is 24 and median is 25, the approximate arithmetic mean using empirical relation is:

A. 24.5

B. 27

C. 25.5

D. 26

Answer: Option C

Solution (By JKSSB Mock Tests)

Mode = 3Median - 2Mean → 24 = 3×25 - 2Mean → 2Mean = 75 - 24 = 51 → Mean = 25.5.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Which index number formula satisfies both time reversal and factor reversal tests?

A. Laspeyres index

B. Fisher's ideal index

C. Paasche index

D. Simple aggregative index

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Correct Answer: Option B

Explanation:
Fisher's ideal index, being the geometric mean of Laspeyres and Paasche indices, is the only common formula that satisfies both time reversal and factor reversal tests, ensuring mathematical consistency.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Which of the following averages cannot be calculated if a dataset contains a zero?

A. Arithmetic mean

B. Geometric mean

C. Median

D. Harmonic mean

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Correct Answer: Option D

Explanation:
Harmonic mean involves reciprocals, so zero makes it undefined. Geometric mean with zero is zero, but it is defined; arithmetic and median unaffected.

This question belongs to: Accountancy and Statistics Statistics