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

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|.

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Practice More Statistics Questions

Question #1
The starting population of a life table is known as the:
A. Radix
B. Base population
C. Cohort
D. Sample

Correct Answer: Option A


Explanation:
The radix is the assumed initial birth cohort (usually 100,000) for which the life table functions are computed.

This question belongs to: Accountancy and Statistics Statistics
Question #2
General Fertility Rate (GFR) is the number of live births per:
A. 1000 total population
B. 1000 women of reproductive age (15-49)
C. 1000 live births
D. 1000 married women

Correct Answer: Option B


Explanation:
GFR = (Live births / Women aged 15-49) × 1000, focusing on the population at risk.

This question belongs to: Accountancy and Statistics Statistics
Question #3
For a moderately skewed distribution, the difference between mean and mode is approximately:
A. 2 (Median - Mean)
B. 3 (Mean - Median)
C. 2 (Mean - Median)
D. 3 (Median - Mean)

Correct Answer: Option B


Explanation:
From empirical relation: Mean - Mode ≈ 3(Mean - Median).

This question belongs to: Accountancy and Statistics Statistics