Harmonic Mean Calculator

Harmonic Mean Calculator

Calculate the harmonic mean of positive numbers.

Last updated: June 2026 | By Patchworkr Team

Input Values

Harmonic Mean
3.429
Count
3
Arithmetic Mean
4.667

Why it matters

Harmonic mean is the right average for rates and ratios.

Inequality

For positive data, HM is less than or equal to GM and AM.

Worked Example

Find the harmonic mean of 2, 4, and 8.

1. Reciprocal sum = 1/2 + 1/4 + 1/8 = 0.875

2. Count = 3

3. HM = 3 / 0.875 = 3.4286

Final answer: 3.4286

Frequently Asked Questions

Can I use zero?

No. The harmonic mean requires positive, non-zero values.

Can I use negative numbers?

Not in this simplified calculator.

When should I use it?

Use it for rates, ratios, and speeds.

Is it always smaller than the arithmetic mean?

Yes, for positive data it is never larger.

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