Harmonic mean is undefined if: MCQ with Answer and Explanation

Harmonic mean is undefined if:
A. Data are discrete
B. Data are continuous
C. All observations are positive
D. Any observation is zero
Answer: Option D
Solution (By JKExamLibrary)
Reciprocals of zero are infinite, making HM undefined.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
In demography, 'cohort' refers to:
A. A sample of the population
B. A group of people born in the same year or period
C. All women of reproductive age
D. All people living in a country

Correct Answer: Option B


Explanation:
A cohort is a group sharing a common temporal experience, like birth year.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If the mean of a set of 10 observations is 20, and 5 is added to each observation, what will be the new mean?
A. 100
B. 20
C. 15
D. 25

Correct Answer: Option D


Explanation:
The arithmetic mean is affected by the change of origin. If a constant is added to all observations, the mean increases by that constant.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The probability of obtaining a sum of 9 in a single throw of two dice is:
A. 1/36
B. 1/6
C. 1/9
D. 1/12

Correct Answer: Option C


Explanation:
Favorable outcomes: (3,6),(4,5),(5,4),(6,3) → 4. Probability = 4/36 = 1/9.

This question belongs to: Accountancy and Statistics Statistics