Average Calculator

Calculator and formula for calculating the average of a data serie


This function calculates the average of a data serie. The average 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.

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


Calculate average

Input
Decimal places
 Results
Sum
Number of data
Average

Formulas for the average

The average of a series of numbers is calculated 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

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

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