Geometric & Harmonic Mean Calculator
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Calculate Geometric Mean, Harmonic Mean, Arithmetic Mean, and Root Mean Square (RMS) with comparison ratios and application insights.
Input Numbers (Positive Values)
Pythagorean Means Summary
Arithmetic Mean (AM)
16.25
Geometric Mean (GM)
12.00
Harmonic Mean (HM)
8.89
Quadratic Mean (RMS)
19.46
Verified: HM (8.89) ≤ GM (12.00) ≤ AM (16.25) ≤ RMS (19.46)
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Direct In-Browser Handoff
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Helpful Examples
Two-Way Travel Speeds
60 mph and 40 mph -> Harmonic Mean: 48.0 mph
60, 40How to Use the Geometric & Harmonic Mean Calculator
Pythagorean means statistical calculator. Computes Arithmetic Mean (standard average), Geometric Mean (compounding growth rates and ratios), Harmonic Mean (rates and speeds over fixed distances), and Quadratic Mean (RMS signal power). Verifies the inequality HM ≤ GM ≤ AM ≤ QM.
Privacy & Data Processing Notice
No user data leaves your browser. Computation is executed entirely on your device. We do not store, view, or transmit your inputs over our network. Your computation remains on your personal machine.
Frequently Asked Questions
When should I use Harmonic Mean instead of Arithmetic Mean?
Harmonic Mean is used for averaging rates or ratios over equal distances (e.g. driving 60 mph out and 40 mph back gives an average speed of 48 mph, not 50 mph).
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