Consider three averages calculated from the same dataset containing positive observations: Arithmetic Mean (A), Geometric Mean (G), and Harmonic Mean (H). Which of the following inequalities is always TRUE?

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Mathematics · Statistics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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A ≥ G ≥ H, with equality only when all observations are equal

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Answer 1

H > A > G for heterogeneous data

Answer 2

A = G = H only if the dataset is skewed

Answer 3

A ≥ G ≥ H, with equality only when all observations are equal

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