The sum of absolute deviations of values is minimum when measured from the: MCQ with Answer and Explanation

The sum of absolute deviations of values is minimum when measured from the:
A. Mode
B. Geometric Mean
C. Mean
D. Median
Answer: Option D
Solution (By JKSSB Mock Tests)
A mathematical property of the Median is that the sum of the absolute deviations (ignoring signs) from it is minimized.

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Practice More Statistics Questions

Question #1
Gross Reproduction Rate (GRR) assumes that female mortality before the end of the childbearing age is:
A. Increasing
B. Equal to male mortality
C. Zero
D. 100%

Correct Answer: Option C


Explanation:
GRR ignores mortality, assuming all women survive to the end of their reproductive lifespan (usually age 49).

This question belongs to: Accountancy and Statistics Statistics
Question #2
In a distribution, the mode is 30, median 32, mean 34. The distribution is:
A. Positively skewed
B. Leptokurtic
C. Symmetric
D. Negatively skewed

Correct Answer: Option A


Explanation:
Mean > Median > Mode indicates positive skewness.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The probability that a randomly chosen number from 1 to 100 is divisible by 7 or 11 is:
A. 25/100
B. 20/100
C. 22/100
D. 23/100

Correct Answer: Option C


Explanation:
Multiples of 7: 14; of 11: 9; of 77: 1. Total = 14+9-1=22. P=22/100.

This question belongs to: Accountancy and Statistics Statistics