Harmonic Mean Calculator

Harmonic Mean Calculator calculator can be used to calculate the harmonic mean of a set of numbers, which is useful in various statistical applications and for averaging rates or ratios.

Input Parameters

Calculation Results

Calculation Formula

Harmonic Mean (H) = n / (1/x₁ + 1/x₂ + ... + 1/xₙ)

Where:
n = number of values
x₁, x₂, ..., xₙ = individual values
The harmonic mean is particularly useful for averaging rates, speeds, or ratios.

Harmonic Mean Calculator Calculator Usage Guide

Learn how to use the Harmonic Mean Calculator calculator and its working principles

How to Use the Harmonic Mean Calculator

  1. Enter a set of numbers separated by commas. For example: 4, 8, 12, 16
  2. Click the "Calculate" button to compute the harmonic mean
  3. The result will be displayed in the result field
  4. Click "Reset" to clear all inputs and results

When to Use Harmonic Mean

The harmonic mean is particularly useful in situations where you need to average rates or ratios. It tends to reduce the impact of very high values in the dataset.

Practical Applications

  • Calculating average speed when distances are fixed but speeds vary
  • Computing average rates in economics and finance
  • Averaging quantities that are inversely proportional to the values
  • Calculating average reaction times

Important Notes

The harmonic mean is only defined for a set of positive numbers. It cannot be calculated if any of the values are zero or negative.