# harmonic mean

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

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## Origin of harmonic mean

First recorded in 1880–85

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## 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

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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

## harmonic mean

(här-mŏn′ĭk)- The reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers.

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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.

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