Harmonic Mean

By Kardi Teknomo, PhD.

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Harmonic mean is the reciprocal of arithmetic mean of reciprocal.

Formula:

All data must be positive

Harmonic means is always smaller compared to geometric mean, arithmetic mean or quadratic mean.

Example:

Example application: in traffic flow theory, time-mean-speed is an arithmetic mean of speed, while space-mean-speed is a harmonic mean of speed

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See also: Minskowski mean, Lehmer mean, Generalized Mean
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Teknomo, Kardi. Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\