If the arithmetic mean of a sample is 20 and median is 22, the distribution is likely: MCQ with Answer and Explanation

If the arithmetic mean of a sample is 20 and median is 22, the distribution is likely:
A. Normal
B. Positively skewed
C. Symmetric
D. Negatively skewed
Answer: Option D
Solution (By JKExamLibrary)
Mean < Median suggests negative skewness (left-skewed).

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
The cost of living index is primarily used for:
A. Adjusting salaries and wages
B. Forecasting exports
C. Computing GDP
D. Measuring agricultural output

Correct Answer: Option A


Explanation:
It measures changes in the cost of living, used to adjust dearness allowance and wages.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Assertion (A): For a moderately skewed distribution, mean – mode ≈ 3(mean – median). Reason (R): In any skewed distribution, the median always lies between the mean and mode. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. Both A and R are true, but R is not the correct explanation of A
C. A is true, R is false
D. A is false, R is true

Correct Answer: Option B


Explanation:
The empirical relationship (A) is true for moderate skewness. In skewed distributions, median lies between mean and mode, but this fact does not directly explain the formula; it's an observed pattern.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Net Reproduction Rate (NRR) takes into account:
A. Only mortality
B. Migration
C. Only fertility
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Correct Answer: Option D


Explanation:
NRR adjusts GRR for the mortality of women during reproductive ages; it indicates replacement level.

This question belongs to: Accountancy and Statistics Statistics