Statistics Calculator: Arithmetic Mean

Use this calculator to compute the arithmetic mean from a set of numerical values.

Data is from: Population Sample

Arithmetic Mean Calculator


This calculator calculates the arithmetic mean from a set of numerical values:

To calculate the mean, enter the numerical values in the box above. You may separate individual values by commas, spaces or new-line. You may also copy and paste data into the text box. You do not need to specify whether the data is from a population or a sample because this does not affect the calculation of the mean. Select the appropriate option if you are also interested in the correct values for variance and standard deviation. Press the "Submit Data" button to perform the computation. The mean will be displayed if the calculation is successful. To clear the calculator and enter new data, press "Reset".

What is the arithmetic mean

The mean, most commonly known as the average of a set of numerical values, is a measure of central tendency, a value that estimates the center of a set of numbers.

Arithmetic mean formula

This calculator uses the following formula to calculate the mean:

$ A ={\frac{1}{n} \sum_{i=1}^n (x_i) $

where n is the total number of values and xi (x2, x1, ... ,xn) are the individual numbers in the data set.

In words: It's the sum of all values, divided by the total number of values.