Averages

Given $n$ numbers $x_1, x_2, \ldots, x_n$, their (arithmetic) average or mean is $\text{Average} = \frac{x_1 + x_2 + \cdots + x_n}{n}.$

Important properties

• The average is affected by every value in the set.

• If all numbers are equal, the average is that number.

• The sum of the differences between each number and the average is zero.