Mathematics · Statistics

For any set of positive real numbers, what is the correct relationship between Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM)?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1AM ≤ GM ≥ HM
2AM ≥ GM ≤ HM
3AM ≤ GM ≤ HM
4AM ≥ GM ≥ HM✓

Correct answer

AM ≥ GM ≥ HM

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For any set of positive real numbers, what is the correct relationship between Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM)?

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For any set of positive real numbers, what is the correct relationship between Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM)?

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