Descriptive statistics

Descriptive statistics summarise a data set with a few numbers. The arithmetic mean is $\bar{x}=\dfrac{1}{N}\sum x_i$, the median — the middle value once sorted, the mode — the most frequent value.

The spread of the data is measured by variance and standard deviation:

$\sigma^2=\frac{1}{N}\sum (x_i-\bar{x})^2 \qquad \sigma=\sqrt{\sigma^2}$

Enter numbers separated by commas or spaces — the calculator works out every measure, including the minimum, maximum and range.