Arithmetic mean

This function calculates the arithmetic mean (average). The mean is calculated by dividing the sum of the data by their number. The arithmetic mean of a sample is also called the empirical mean.

To perform the calculation, enter a series of numbers. Then click the 'Calculate' button. The list can be entered unsorted.

Input format

The data can be entered as a series of numbers, separated by semicolons or spaces. You can enter the data as a list (one value per line). Or from a column from Excel spreadsheet by copy & paste

Arithmetic mean formula

The arithmetic mean is the sum of a collection of numbers divided by the count of numbers in the collection.

\(\displaystyle \overline{x} =\frac{1}{n}(x_1+x_2+...+x_n) = \frac{1}{n} \sum^n_{i=1} x_i \)

Example

\(\displaystyle \overline{x} =\frac{1}{5} ·(5+3+4+2+6) =4 \)