# harmonic mean

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

## Origin of harmonic mean

^{1}

## Words Nearby harmonic mean

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024

## How to use harmonic mean in a sentence

The

*harmonic mean*of n quantities is the arithmetical mean of their reciprocals.

## British Dictionary definitions for harmonic mean

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 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for 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.

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