Which measure of central tendency is defined only when all observations are positive? MCQ with Answer and Explanation

Which measure of central tendency is defined only when all observations are positive?
A. Geometric mean (for meaningful result) and Harmonic mean (for positive numbers, but GM is undefined for negatives/zero)
B. Arithmetic mean
C. Median
D. Mode
Answer: Option A
Solution (By JKSSB Mock Tests)
Geometric mean requires all positive values; otherwise it's undefined or zero. Harmonic mean also requires non-zero values, but GM is more restricted. Actually, GM is defined only for positive data if we want real numbers. So C.

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Practice More Statistics Questions

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The circular test is satisfied by:
A. Chain index using fixed weight price relatives
B. Fixed weight aggregates
C. Fisher index
D. Both A and C

Correct Answer: Option D


Explanation:
Fixed weight aggregates and chain indices with consistent linking can satisfy circular test, while Fisher does not.

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Question #2
If the events A and B are independent, P(A)=0.4, P(B)=0.5, then P(A'∩B') is:
A. 0.3
B. 0.2
C. 0.5
D. 0.9

Correct Answer: Option A


Explanation:
P(A')=0.6, P(B')=0.5, independence gives 0.6×0.5=0.3.

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Question #3
If the arithmetic mean of a distribution is 25 and the median is 24, the distribution is likely:
A. Symmetric
B. Positively skewed
C. Bimodal
D. Negatively skewed

Correct Answer: Option B


Explanation:
Mean > Median indicates positive skewness (right-skewed).

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