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 JKExamLibrary)
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.
Explanation:
Weighted mean = sum of (value × weight) divided by sum of weights, allowing differential importance of observations, e.g., in index numbers or survey sampling.
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