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harmonic mean

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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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Origin of harmonic mean

First recorded in 1880–85
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

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British Dictionary definitions for harmonic mean

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

Medical definitions for harmonic mean

harmonic mean
[ här-mŏnĭk ]

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.

Scientific definitions for harmonic mean

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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