harmonic mean


noun Statistics.

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

Nearby words

  1. harmonic analysis,
  2. harmonic conjugates,
  3. harmonic distortion,
  4. harmonic interval,
  5. harmonic law,
  6. harmonic minor scale,
  7. harmonic motion,
  8. harmonic oscillator,
  9. harmonic progression,
  10. 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


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

Medicine 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.

Science 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.