Arithmetic Mean
Formula and examples for the arithmetic mean (average value or mean value)
The arithmetic mean, also called 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).
\(\displaystyle \overline{x} =\frac{5+3+4+2+6}{5} =4 \)
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