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
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Description and formulas for the average
The average (also called mean) is calculated by adding up all the values you have and then dividing by the number of these values. The formula is:
- Summing all values: Adding all numbers.
- Dividing by the number of values: Dividing the sum by the number of numbers.
The formula is:
\[ Average=\frac{sum \;of \;all\; values}{number\; of\; the \;values}\]
\[ \overline{x} =\frac{1}{n}(x_1+x_2+...+x_n) = \frac{1}{n} \sum^n_{i=1} x_i \]
Example
Suppose you have the numbers 4, 8, 6 and 2.
Calculate the sum:
\[4+8+6+2=20\]
Number of values: There are 4 numbers.
Calculate the average:
\[\text{average}=\frac{20}{4}=5\]
The average of the numbers is therefore 5.
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