Harmonic mean

Calculate Harmonic mean instantly with the exact formula and a worked example.

Harmonic mean

x₁
x₂
x₃
Harmonic mean
3.4286
n / Σ(1/xᵢ)Calculate Harmonic mean instantly with the exact formula and a worked example.

More about: Harmonic mean

What it calculates

The “Harmonic mean” calculator computes Harmonic mean from 3 parameters: x₁, x₂, x₃.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters x₁ = 2, x₂ = 4, x₃ = 8 the result is 3.43 (n / Σ(1/xᵢ)).

How to use

  1. Enter x₁, x₂ and x₃ — each field above is adjustable with a slider.
  2. Harmonic mean is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Harmonic mean calculated?
The Harmonic mean calculator computes Harmonic mean from x₁, x₂, x₃. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Harmonic mean calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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