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Question

Statement I : In any distribution, the median must fall at the 50th percentile.

Statement II : All unimodal distributions are normal.

This question was previously asked in
MH SET 2023 Paper 2 Computer Science and Applications Question Paper (26-Mar-2023)
The correct answer is

Statement I is true, statement II is false

Statement I: the median is the value that divides an ordered distribution into two equal halves, so 50% of the scores lie below it; by definition it is the 50th percentile (P50) in any distribution. Statement I is true.

Statement II: a unimodal distribution simply has one peak; it may be positively or negatively skewed or leptokurtic, so it need not be normal. Every normal distribution is unimodal, but not every unimodal distribution is normal. Statement II is false.

Hence, the answer is Statement I is true, statement II is false.

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