🎵 Harmonic Mean Calculator

Ideal for averaging rates such as speed or price ratios. Paste positive numbers to find the harmonic mean, average reciprocal, and insights on when the harmonic mean is preferable to the arithmetic mean.

Dataset Input

Values must be positive (> 0)

Paste directly from spreadsheets. Zero or negative values are ignored because the harmonic mean requires positive numbers.

Harmonic Mean

—

Arithmetic Mean

—

Average Reciprocal

—

Count

—

Summary

No values analysed yet.

Insights

  • No values analysed yet.

How to Use

  1. Paste positive numeric values into the input box.
  2. Click Calculate Harmonic Mean to view the harmonic mean, arithmetic mean, and reciprocal average.
  3. Use the insights to see ignored values and when the harmonic mean is preferable.
  4. Clean or reset entries for new datasets.

Formula Reference

Harmonic mean \( H = \frac{n}{\sum \frac{1}{x_i}} \) for \( x_i > 0 \). Useful when averaging rates, such as speed or price per unit. Arithmetic mean included for comparison.

Explore Related Tools