Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for the same dataset. Reason (R): This is a consequence of the AM-GM inequality in mathematics. MCQ with Answer and Explanation

Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for the same dataset. Reason (R): This is a consequence of the AM-GM inequality in mathematics.
A. A is false but R is true
B. Both A and R are true, and R is the correct explanation of A
C. Both A and R are true, but R is not the correct explanation of A
D. A is true but R is false
Answer: Option B
Solution (By JKSSB Mock Tests)
The AM-GM inequality states that for non-negative real numbers, the arithmetic mean is always greater than or equal to the geometric mean, with equality only when all values are identical.

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If a dataset is bimodal, it indicates:
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B. The data are symmetric.
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D. The frequency distribution has two peaks.

Correct Answer: Option D


Explanation:
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The arithmetic mean of the first five natural numbers is:
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Correct Answer: Option B


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