Harmonic Mean Calculator

Instructions: Use this Harmonic Mean Calculator by entering the sample data below and the solver will provide step-by-step calculation of the harmonic mean.

Type the sample (comma or space separated)
Name of the variable (Optional)

More About this Harmonic Mean Calculator

First of all, the harmonic mean is a type of a less commonly used measure of central tendency. In terms of its calculation, it is essentially the reciprocal of the average of the reciprocal values in the sample. In other words, consider the given sample data \(\{x_1, x_2, ..., x_n\}\).

How is harmonic mean calculated?

The harmonic mean is computed using the following formula

\[H = \frac{n}{\frac{1}{x_1}+\frac{1}{x_2} + ... + \frac{1}{x_n} }\]

In general, for the sample \(\{x_1, x_2, ..., x_n\}\), the arithmetic mean is larger than the harmonic mean.

The concept of a "mean" as a representative value of a sample take different forms. You may be also interested in our geometric mean calculator , or in our arithmetic mean calculator .

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