Calculatorism

Harmonic Mean Calculator

Compute the harmonic mean of a set of numbers.

Input Data

Data

Results

The harmonic mean.
4.8
Explanatory note about the result.
HM = 2 / (Σ1/xᵢ) = 4.8。

At a glance:HM = n / Σ(1/x_i). Best for averages of rates (e.g. average speed over equal distances). Complements arithmetic and geometric means.

Formula

HM = n / Σ(1/x_i).

How to Use

  1. Enter comma-separated positive numbers.
  2. The tool returns the HM.

Case Studies

2, 3

2/(1/2+1/3)=2/(5/6)=2.4.

FAQ

HM vs AM?

HM ≤ GM ≤ AM; HM is right for rate averaging.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Harmonic Mean Calculator（/math/harmonic-mean）。