Harmonic Mean:
The harmonic mean of n items x1, x2, x3,..., xn can be defined as:
Harmonic Mean = 
Harmonic Mean of Frequency Distribution:
Let x1, x2, x3, ..., xn be n items which occur with the frequencies f1, f2, f3, ..., fn respectively. Then their Harmonic Mean is given by
The Harmonic Mean = 
Relation between Arithmetic Mean, Geometric Mean and Harmonic Mean:
The Geometric mean (G.M.), arithmetic mean (A. M.), and Harmonic Mean (H.M.) for a given set of observations of a series are given under:
A. M ≥ G.M ≥ H.M
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