Average rates correctly with the harmonic mean, the type of mean built for quantities like speed, price to earnings ratios, and rates per unit. Paste a list of positive numbers and the tool returns the harmonic mean, defined as the count divided by the sum of the reciprocals of the values. When you drive a fixed distance at two different speeds, the harmonic mean gives the true average speed, whereas the arithmetic mean would be too high. The harmonic mean is always the smallest of the three classical means, sitting below the geometric mean, which sits below the arithmetic mean. Every value must be greater than zero, since a reciprocal of zero is undefined. The tool also shows the arithmetic mean so you can see the difference for your data. Everything is computed locally in your browser, so nothing you enter is sent to a server.
It is the count of values divided by the sum of their reciprocals, the correct average for rates like speed.
Use it for averaging rates over a fixed distance or quantity, such as average speed over equal legs of a trip.
The harmonic mean is always less than or equal to the arithmetic mean for the same positive numbers.
Average rates correctly with the harmonic mean, the type of mean built for quantities like speed, price to earnings ratios, and rates per unit. Paste a list of positive numbers and the tool returns the harmonic mean, defined as the count divided by the sum of the reciprocals of the values.
Yes. Harmonic Mean Calculator is completely free, with no sign-up and no usage limits.
Yes. Harmonic Mean Calculator runs in any modern web browser. There is nothing to download or install.
Yes. Harmonic Mean Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.