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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 1880ā85

## Words nearby harmonic mean

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, Ā© Random House, Inc. 2022

## How to use harmonic mean in a sentence

## 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) ā1 = 3 6/13

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Ā© William Collins Sons & Co. Ltd. 1979, 1986 Ā© HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Medical definitions for harmonic mean

harmonic mean

[ hĆ¤r-mÅnā²Äk ]

n.

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

The American HeritageĀ® Stedman's Medical Dictionary
Copyright Ā© 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 HeritageĀ® Science Dictionary
Copyright Ā© 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.