Harmonic Mean Calculator
Find the harmonic mean of a set of numbers.
The average for rates
The harmonic mean is the reciprocal of the average of reciprocals, and it is the correct way to average rates. Drive equal distances at 40 and 60, and your average speed is the harmonic mean, not 50.
The harmonic mean of 40 and 60 is 48. It always sits at or below the geometric and arithmetic means, and it is the standard for averaging speeds and ratios.
Correct and private
The calculation runs in your browser, so your data is never uploaded.
Frequently Asked Questions
What is the harmonic mean?
The count divided by the sum of the reciprocals. It is the right average for rates like speed or price-to-earnings.
When do I use it?
When averaging rates over a fixed quantity, such as average speed over equal distances.
Why can values not be zero?
The harmonic mean uses reciprocals, which are undefined for zero.
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