Harmonic mean of $$$13$$$, $$$16$$$

Find the harmonic mean of $$$13$$$, $$$16$$$.

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 $$$\frac{1}{13} + \frac{1}{16} = \frac{29}{208}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{29}{208}} = \frac{416}{29}$$$.

The harmonic mean is $$$\frac{416}{29}\approx 14.344827586206897$$$A.