HARMEAN

Calculates the harmonic mean[1] of the values in a data set.

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the values.

Syntax:

HARMEAN( list )

Returns the harmonic mean of the values in the list.

list may be a range of cells, an array, or a comma-separated list of values (which may contain cell references and also ranges of cells as one or more of its elements).

All values in the list must be non-zero numbers.

Formula:

HARMEAN = ( i 1n 1 ∕ xi )  ∕  n

where n is the number of values and xi is the i‑th value.

Example:

HARMEAN(A1:A15)

returns the harmonic mean of the contents of cells in the range A1:A15.

Revisions:

This function was added in Fireworkz 2.00.

  1. Weisstein, Eric W. "Harmonic Mean." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicMean.html