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. Median
B. Arithmetic mean
C. Mode
D. Geometric mean (for meaningful result) and Harmonic mean (for positive numbers, but GM is undefined for negatives/zero)
Answer: Option D
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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A life table is primarily based on which of the following demographic measures?
A. General Fertility Rate
B. Age Specific Death Rate
C. Age Specific Fertility Rate
D. Infant Mortality Rate

Correct Answer: Option B


Explanation:
Life tables are constructed using Age Specific Death Rates (qx) to determine the probability of surviving from one age to the next.

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Question #2
In tabulation, 'box-head' refers to:
A. The title of the table
B. The footnotes
C. The part of the table containing column headings
D. The left part with row headings

Correct Answer: Option C


Explanation:
Box-head is the portion above the stub containing the column captions.

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Question #3
The denominator for Perinatal Mortality Rate includes:
A. Total live births only
B. Women of reproductive age
C. Total births (live births + stillbirths)
D. Total population

Correct Answer: Option C


Explanation:
PNMR = (stillbirths + early neonatal deaths) / (live births + stillbirths) × 1000.

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