Which measure of central tendency is undefined for data containing zero? MCQ with Answer and Explanation

Which measure of central tendency is undefined for data containing zero?
A. Median
B. Geometric mean
C. Arithmetic mean
D. Harmonic mean
Answer: Option D
Solution (By JKSSB Mock Tests)
Harmonic mean involves reciprocals; if any value is zero, reciprocal is infinite, so it's undefined.

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Practice More Statistics Questions

Question #1
Given P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. Are A and B independent?
A. Yes, because they are mutually exclusive
B. No, because 0.1 ≠ 0.15
C. Cannot determine
D. Yes, because P(A∩B)=P(A)P(B)

Correct Answer: Option B


Explanation:
P(A)P(B)=0.5×0.3=0.15 ≠ 0.1, so not independent.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The dependency ratio is the ratio of:
A. Children to elderly
B. Male to female population
C. Working population to total population
D. Dependent population (0-14 and 65+) to working-age population (15-64)

Correct Answer: Option D


Explanation:
Dependency ratio = (population 0-14 + 65+) / (population 15-64), measuring economic burden.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The median of 12, 15, 11, 18, 20 is:
A. 15
B. 20
C. 18
D. 11

Correct Answer: Option A


Explanation:
Ordered: 11, 12, 15, 18, 20. Median = 15 (middle value).

This question belongs to: Accountancy and Statistics Statistics