# harmonic mean

### noun Statistics.

the mean obtained by taking the reciprocal of the arithmetic mean of the reciprocals of a set of nonzero numbers.

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## Nearby words

- harmonic analysis,
- harmonic conjugates,
- harmonic distortion,
- harmonic interval,
- harmonic law,
- harmonic minor scale,
- harmonic motion,
- harmonic oscillator,
- harmonic progression,
- harmonic series

## Origin of harmonic mean

First recorded in 1880–85

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## harmonic mean

### noun

the reciprocal of the arithmetic mean of the reciprocals of a set of specified numbers: the harmonic mean of 2, 3, and 4 is 3(1/2 + 1/3 + 1/4) –1 = 3 6/13

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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## harmonic mean

[ här-mŏn′ĭk ]

### n.

The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

## harmonic mean

The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.