The sum of absolute deviations is minimized by: MCQ with Answer and Explanation

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The sum of absolute deviations is minimized by:

A. Mean

B. Geometric mean

C. Mode

D. Median

Answer: Option D

Solution (By JKSSB Mock Tests)

Median minimizes Σ |x - M|.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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The cost of living index is primarily used for:

A. Measuring agricultural output

B. Forecasting exports

C. Adjusting salaries and wages

D. Computing GDP

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Correct Answer: Option C

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

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The coefficient of variation is useful for comparing:

A. Medians

B. Means of two groups

C. Probabilities

D. Variability of datasets with different units or means

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Correct Answer: Option D

Explanation:
CV = (SD/Mean)×100 provides a relative measure of dispersion.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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If the median of 5, 7, 9, x, 11, 13 is 9.5, then x is:

A. 10

B. 9

C. 12

D. 8

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Correct Answer: Option A

Explanation:
The six values in order: 5,7,9,x,11,13. Median = (9+x)/2 = 9.5 ⇒ x=10.

This question belongs to: Accountancy and Statistics Statistics

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