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

The calculator will find the harmonic mean of $$$24$$$, $$$25$$$, with steps shown.

Related calculators: Average Calculator, Geometric Mean Calculator

Comma-separated.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

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

Solution

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 $$$H = \frac{2}{\frac{49}{600}} = \frac{1200}{49}$$$.

Answer

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