Arithmetic Mean Calculator

On this page the arithmetic mean (average value) of a series of numbers is calculated.

To calculate, enter a series of numbers. Then click the 'Calculate' button.

Input format

The data can be entered as a series of numbers, separated by semicolons or spaces. Input as a list (one value per line) is particularly suitable when data from files, e.g. columns of an Excel file, are entered by copying and pasting.

The arithmetic mean (also called the average), is a term in statistics. It describes the center of a distribution by a numerical value. 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.

Arithmetic mean formulas

You calculate the average of a series of numbers by dividing the sum of the numbers by their number.

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

Example

In the following example we calculate the mean of the 5 numbers

\(\displaystyle 5,3,4,2,6 \)

To do this, add the numbers and then divide by their number (5).

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

More statistics functions

Arithmetic Mean • Contraharmonic Mean • Covariance • Empirical distribution CDF • Deviation • Five-Number Summary • Geometric Mean • Harmonic Mean • Inverse Empirical distribution CDF • Kurtosis • Log Geometric Mean • Lower Quartile • Median • Pooled Standard Deviation • Pooled Variance • Skewness (Statistische Schiefe) • Upper Quartile • Variance