The geometric mean of a set of values is less than or equal to the arithmetic mean. This is known as: MCQ with Answer and Explanation

Question
The geometric mean of a set of values is less than or equal to the arithmetic mean. This is known as:
A. Central limit theorem
B. AM-GM inequality
C. Time reversal test
D. Bayes' theorem
Answer: Option B
Solution (By JKSSB Mock Tests)
For non-negative numbers, AM ≥ GM always holds.
This question belongs to: Accountancy and Statistics Statistics
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Practice More Statistics Questions

Question #1
For two positive numbers, the arithmetic mean is 25 and geometric mean is 20. The harmonic mean is:
A. 22.5
B. 16
C. 18
D. 15
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Correct Answer: Option B

Explanation:
For two numbers, HM = GM² / AM = (20)² / 25 = 400/25 = 16.
This question belongs to: Accountancy and Statistics Statistics
Question #2
In a random experiment, the set of all possible outcomes is called:
A. Trial
B. Event
C. Sample space
D. Outcome set
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Correct Answer: Option C

Explanation:
Sample space is the collection of all elementary outcomes of an experiment.
This question belongs to: Accountancy and Statistics Statistics
Question #3
The weighted harmonic mean is used in which of the following situations?
A. Measuring dispersion
B. Averaging percentages
C. Averaging rates when weights are in the denominator units
D. Finding the typical value of a symmetric distribution
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Correct Answer: Option C

Explanation:
Weighted harmonic mean is useful when the weights are in the same units as the numerator of a rate.
This question belongs to: Accountancy and Statistics Statistics
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