Harmonic Mean
Formula and example for the harmonic mean of a data series
The harmonic mean is the mean of a series of numbers and is used to calculate the mean of ratios (quotient of two quantities).
Formulas for the harmonic mean
Example
In the following example we calculate the mean of the 5 numbers
\(\displaystyle 5,3,4,2,6 \)
\(\displaystyle H=\frac{n}{\frac{1}{x_1}+\frac{1}{x_2}+\frac{1}{x_3}+\frac{1}{x_4} +\frac{1}{x_5}} \)
\(\displaystyle H=\frac{5}{\frac{1}{5}+\frac{1}{3}+\frac{1}{4}+\frac{1}{2}+\frac{1}{6}}≈ 3.45\)
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