Harmonic mean of $$$10$$$, $$$20$$$

The calculator will find the harmonic mean of $$$10$$$, $$$20$$$, with steps shown.

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Find the harmonic mean of $$$10$$$, $$$20$$$.


The harmonic mean of data is given by the formula $$$H = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_{i}}}$$$, where $$$n$$$ is the number of values and $$$x_i, i=\overline{1..n}$$$ are the values themselves.

Since we have $$$2$$$ points, $$$n = 2$$$.

The sum of the reciprocals of the values is $$$\frac{1}{10} + \frac{1}{20} = \frac{3}{20}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{3}{20}} = \frac{40}{3}$$$.


The harmonic mean is $$$\frac{40}{3}\approx 13.333333333333333$$$A.