# 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^{}

First recorded in 1880–85

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# 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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# harmonic mean

(här-mŏn′ĭk)

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

The American Heritage® Stedman's Medical Dictionary
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# 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.