Harmonic Mean Calculator
Average positive rates using the reciprocal-mean definition.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Harmonic Mean Calculator
Use positive rates with equal weighting in the denominator quantity, such as equal distances for speed. Equal-duration travel instead calls for an arithmetic mean.
The calculation
Worked example
Rates of 30 and 60 have harmonic mean 40. This can describe equal-distance travel at those two speeds.
Assumptions and limits
Requires positive finite observations. Different distance or quantity weights need a weighted harmonic mean, which this unweighted tool does not infer.
Common questions
Which inputs should I use?
Use positive rates with equal weighting in the denominator quantity, such as equal distances for speed. Equal-duration travel instead calls for an arithmetic mean.
What does the result exclude?
Requires positive finite observations. Different distance or quantity weights need a weighted harmonic mean, which this unweighted tool does not infer.