# Harmonic mean

> The harmonic mean gives us a way to find the average of a set of values that emphasizes the smaller numbers in the set, making it particularly useful when averaging rates or ratios, like speeds or densities.

The harmonic mean gives us a way to find the average of a set of values that emphasizes the smaller numbers in the set, making it particularly useful when averaging rates or ratios, like speeds or densities.

$$
\text{Harmonic Mean} = \frac{n}{\frac{1}{x_1} + \frac{1}{x_2} + \dots + \frac{1}{x_n}}
$$