Which measure of central tendency is the most stable from sample to sample? MCQ with Answer and Explanation

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Which measure of central tendency is the most stable from sample to sample?

A. Median

B. Mode

C. Mean

D. None

Answer: Option C

Solution (By JKSSB Mock Tests)

The arithmetic mean is based on all observations and has the smallest sampling variance among unbiased estimators of the population mean.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

The combined mean of two groups with means 40 (size 10) and 60 (size 20) is:

A. 53.33

B. 50

C. 55

D. 56.67

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Correct Answer: Option A

Explanation:
Combined mean = (10×40 + 20×60) / (10+20) = (400 + 1200) / 30 = 1600 / 30 ≈ 53.33. This weights each group's mean by its sample size.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If P(A) = 0.6, P(B) = 0.3, and P(A ∩ B) = 0.18, then events A and B are:

A. Exhaustive

B. Mutually exclusive

C. Independent

D. Dependent

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Correct Answer: Option C

Explanation:
Events are independent if P(A ∩ B) = P(A) × P(B). Here, 0.6 × 0.3 = 0.18, satisfying the condition.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Which method is NOT a technique for collecting primary data?

A. Telephonic interview

B. Direct personal investigation

C. Extraction from government census publications

D. Mailed questionnaire method

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Correct Answer: Option C

Explanation:
Extraction from government census publications is a source of secondary data, not a method for collecting primary data, which requires firsthand gathering by the investigator.

This question belongs to: Accountancy and Statistics Statistics

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