Arithmetic Mean Calculator
Online calculator for the arithmetic mean of a data set
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.
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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
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