Which measure of central tendency minimizes the sum of absolute deviations? MCQ with Answer and Explanation

Which measure of central tendency minimizes the sum of absolute deviations?
A. Arithmetic mean
B. Median
C. Mode
D. Geometric mean
Answer: Option B
Solution (By JKExamLibrary)
Median minimizes Σ|x - M|, while mean minimizes Σ(x - μ)².

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
If P(A) = 0.2 and P(B) = 0.3, and A, B are mutually exclusive, P(A∪B) is:
A. 0.5
B. 0.8
C. 0.06
D. 0.1

Correct Answer: Option A


Explanation:
For mutually exclusive events, P(A∪B) = P(A) + P(B) = 0.5.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Vital statistics mainly record:
A. Crop production
B. Industrial output
C. Births, deaths, and marriages
D. Educational data

Correct Answer: Option C


Explanation:
Vital events include births, deaths, marriages, divorces.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Yule's coefficient of association Q is defined as (ad - bc)/(ad + bc), where ad = (AB)×(αβ) and bc = (Aβ)×(αB). This coefficient is also known as:
A. Coefficient of determination
B. Coefficient of concordance
C. Coefficient of correlation
D. Coefficient of colligation

Correct Answer: Option D


Explanation:
Q is Yule's coefficient of association, also called coefficient of colligation.

This question belongs to: Accountancy and Statistics Statistics