Harmonic mean of $$$5$$$, $$$9$$$

Find the harmonic mean of $$$5$$$, $$$9$$$.

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 $$$\frac{1}{5} + \frac{1}{9} = \frac{14}{45}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{14}{45}} = \frac{45}{7}$$$.

The harmonic mean is $$$\frac{45}{7}\approx 6.428571428571429$$$A.