Harmonic Mean

Harmonic Mean of a series also known as sub contrary mean is one of several kinds of average which can be defined as the reciprocal of the arithmetic average of the reciprocals of the values of its various items. If the number of items in a series is large it would be a tedious job to find the reciprocal of each items and then to total them and then to divide the total by the number of items and then to find out the reciprocal of the value

 Symbolically the Harmonic mean or HM of a series is for the positive real numbers x₁, x₂, ..., x_n > 0 is

 

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