Harmonic Mean

Posted in Statistics, Total Reads: 1178

Definition: Harmonic Mean

Harmonic mean is used where average of rates is desired. It is the special case of Power Mean. It has a tendency to lean towards the lowest element of the list so that it may decrease the influence of the larger element and may increase the influence of the smaller element.

The Harmonic mean is smaller than the Arithmetic mean and the Geometric Mean.



                             H = ((1/n)(∑ Xi ^(-1)))

                                    i= 1


The Purple color line shows the Harmonic Mean Between “a” and “b”. While A, G and Q represents the Arithmetic Mean, Geometric Mean and forth-mean i.e. the quadratic mean.

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