# harmonic mean

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Related to Harmonic average: geometric mean, Geometric Average

## harmonic mean

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

## harmonic mean

n
(Mathematics) 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 = 3
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## harmon′ic mean′

n.
the statistical mean obtained by taking the reciprocal of the arithmetic mean of the reciprocals of a set of nonzero numbers.
[1880–85]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 harmonic mean - the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbersstatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parametersmean, mean value - an average of n numbers computed by adding some function of the numbers and dividing by some function of n
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
harmonický průměr
harmonisches Mittel
moyenne harmonique
harmonijska sredina
średnia harmoniczna
harmoniskt medelvärde
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References in periodicals archive ?
To overcome this drawback, motivated by the ideal of power aggregation (Yager 2001), in this paper some fuzzy power aggregation operators are proposed: the fuzzy power weighted average (FPWA) operator, the fuzzy power weighted geometric (FPWG) operator, fuzzy power weighted harmonic average (FPWHA), fuzzy power weighted quadratic average (FPWQA), the fuzzy power ordered weighted average (FPOWA) operator, the fuzzy power ordered weighted geometric (FPOWG) operator, fuzzy power ordered weighted harmonic average (FPOWHA) and fuzzy power ordered weighted quadratic average (FPOWQA).
Mulally spoke of the need to sustain manufacturing in America, which is a somewhat refreshing thing to hear in the context of all-to-many-people talking about a "low-cost country" strategy, which is essentially not-too-cryptic code for "sending the work to China." He talked about how when he spoke to Congress on the subject of Corporate Average Fuel Efficiency standards and pointed out that what was being proposed was not an arithmetic average increase but a harmonic average increase, the response was puzzlement: Was Mr.

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