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Harmonic Mean
Harmonic mean is the reciprocal of arithmetic mean of reciprocal.
Formula:
Properties:
 Harmonic mean is always smaller compared to geometric mean , arithmetic mean or quadratic mean .
 To get the correct result, the data values must be all positive
Example:
Example applications of Harmonic Means:
 In traffic flow theory , timemeanspeed is an arithmetic mean of speed, while spacemeanspeed is a harmonic mean of speed.The speed is measured on the same length of distance travelled.
 In Industrial Engineering, Brown Gibson method uses harmonic means to compute the performance measure of objective factors.

In Electrical engineering, harmonic means is applied to study the
performance of transmission communication systems with relays
Use the interactive program below to compute Harmonic mean of a list of numbers separated by comma. You may change with your own input values.
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See also:
Minskowski mean
,
Lehmer mean
,
Generalized Mean
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This tutorial is copyrighted .
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\