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. Arithmetic mean
B. Geometric mean
C. Median
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
In a frequency distribution, the class width is 8, and the mid-value of a class is 42. The lower limit of that class is:
A. 34
B. 38
C. 36
D. 40

Correct Answer: Option B


Explanation:
Lower limit = mid-value - width/2 = 42 - 4 = 38.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Cost of Living Index adjustments are most relevant for:
A. Stock market investments
B. Corporate profit calculations
C. International trade agreements
D. Wage negotiations and social security benefits

Correct Answer: Option D


Explanation:
Cost of Living Indices inform wage indexation, pension adjustments, and welfare benefits to maintain purchasing power amid inflation, directly impacting household economic security.

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Question #3
The geometric mean is undefined if the data contains:
A. Only fractions
B. Values greater than 1
C. Positive numbers only
D. Negative numbers and zero

Correct Answer: Option D


Explanation:
GM is defined only for positive numbers; zero or negative values are not allowed.

This question belongs to: Accountancy and Statistics Statistics