Excel HARMEAN Function

Summary

The Excel HARMEAN function returns the harmonic mean for a set of numeric values. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals. Harmonic mean can be used to calculate a mean that reduces the impact of outliers.

Purpose

Calculate harmonic mean

Return value

Calculated mean

Syntax

=HARMEAN (number1, [number2], ...)

Arguments

Usage notes

The Excel HARMEAN function returns the harmonic mean for a set of numeric values. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals. Harmonic mean can be used to calculate a mean that reduces the impact of outliers. The harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.

In the example shown, the formula in E7 is:

=HARMEAN(B5:B14)

The formulas in E5 and E6 are, respectively:

=AVERAGE(B5:B14) // arithmetic mean=GEOMEAN(B5:B14) // geometric mean

Notes

  1. Arguments can be numbers, names, arrays, or references that contain numbers.
  2. Empty cells, and cells that contain text or logical values are ignored.

 

Excel HARMEAN Function

Summary

The Excel HARMEAN function returns the harmonic mean for a set of numeric values. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals. Harmonic mean can be used to calculate a mean that reduces the impact of outliers.

Purpose

Calculate harmonic mean

Return value

Calculated mean

Syntax

=HARMEAN (number1, [number2], ...)

Arguments

Usage notes

The Excel HARMEAN function returns the harmonic mean for a set of numeric values. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals. Harmonic mean can be used to calculate a mean that reduces the impact of outliers. The harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.

In the example shown, the formula in E7 is:

=HARMEAN(B5:B14)

The formulas in E5 and E6 are, respectively:

=AVERAGE(B5:B14) // arithmetic mean=GEOMEAN(B5:B14) // geometric mean

Notes

  1. Arguments can be numbers, names, arrays, or references that contain numbers.
  2. Empty cells, and cells that contain text or logical values are ignored.