In a moderately skewed distribution, if the mean is 45 and the mode is 39, the median is approximately: MCQ with Answer and Explanation

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In a moderately skewed distribution, if the mean is 45 and the mode is 39, the median is approximately:

A. 43

B. 42

C. 44

D. 41

Answer: Option A

Solution (By JKSSB Mock Tests)

Using the empirical relationship: Mode ≈ 3×Median - 2×Mean. Rearranging: Median ≈ (Mode + 2×Mean)/3 = (39 + 90)/3 = 129/3 = 43. This approximation holds for moderately skewed unimodal distributions.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Crude Death Rate of 8 per 1,000 implies that in a population of 1 million, annual deaths are approximately:

A. 8,000

B. 800

C. 80,000

D. 800,000

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Correct Answer: Option A

Explanation:
CDR = (Deaths / Population) × 1,000 → Deaths = (CDR × Population) / 1,000 = (8 × 1,000,000) / 1,000 = 8,000. Simple application of the rate formula.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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In a pie chart, the angle of a sector for a category with frequency 30 out of total 120 is:

A. 90°

B. 30°

C. 60°

D. 120°

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Correct Answer: Option A

Explanation:
Angle = (30/120) × 360 = 90°.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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Total Fertility Rate (TFR) of 2.5 indicates that, on average, women are having:

A. 2.5 children

B. 2.5 times the replacement level

C. 2.5 births per year

D. 2.5 daughters

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Correct Answer: Option A

Explanation:
TFR estimates the average number of children a woman would have over her lifetime if she experienced current age-specific fertility rates; TFR=2.5 means 2.5 children per woman.

This question belongs to: Accountancy and Statistics Statistics

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