Harmonic Mean for grouped data
Let $(x_i,f_i), i=1,2, \cdots , n$ be given frequency distribution. Then the Harmonic Mean is denoted by $HM$.
Formula
The harmonic mean for grouped data is given by
$\dfrac{1}{HM} = \dfrac{1}{N}\sum_{i=1}^{n}\dfrac{f_i}{x_i}$
where $N = \sum_{i=1}^{n} f_i$.
In case of continuous frequency distribution, $x_i$’s are the mid-values of the respective classes.
Harmonic mean is undefined if any one value of the variable is zero.
