For a positive dataset, if the harmonic mean is equal to the arithmetic mean, what can be concluded? MCQ with Answer and Explanation

For a positive dataset, if the harmonic mean is equal to the arithmetic mean, what can be concluded?
A. All values are equal
B. There is one outlier
C. The data are symmetric
D. The median equals the mode
Answer: Option A
Solution (By JKSSB Mock Tests)
For positive numbers, AM = GM = HM only when all values are identical.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1
WPI basket does not include:
A. Fuel and power
B. Manufactured products
C. Primary articles
D. Services

Correct Answer: Option D


Explanation:
WPI covers goods only; services are excluded.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The probability of obtaining a sum of 9 in a single throw of two dice is:
A. 1/12
B. 1/6
C. 1/9
D. 1/36

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
Question #3
A questionnaire includes the question: 'Don't you agree that government policies have improved rural healthcare?' This question violates which design principle?
A. Ensuring questions are answerable by all respondents
B. Avoiding double-barreled questions
C. Mutually exclusive response options
D. Maintaining neutrality and avoiding leading questions

Correct Answer: Option D


Explanation:
The question is leading because it presupposes agreement and pressures respondents toward a positive response, violating the principle of neutrality in questionnaire design.

This question belongs to: Accountancy and Statistics Statistics