Harmonic mean of $$$24$$$, $$$25$$$

Find the harmonic mean of $$$24$$$, $$$25$$$.

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 $$$\frac{1}{24} + \frac{1}{25} = \frac{49}{600}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{49}{600}} = \frac{1200}{49}$$$.

The harmonic mean is $$$\frac{1200}{49}\approx 24.489795918367347$$$A.