A researcher claims that if the range of a dataset is 0 (zero), the mean, median, and mode must all be equal. Evaluate this claim.

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Mathematics · Statistics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Correct, because zero range means all values in the dataset are identical.

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Answer 1

Correct, because zero range means all values in the dataset are identical.

Answer 2

Correct only if all observations are positive.

Answer 3

Incorrect, because zero range ensures equal median but not necessarily equal mean.

Answer 4

Correct, because zero range implies no dispersion.

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