Arithmetic mean

Revision as of 13:36, 18 June 2006 by MCrawford (talk | contribs) (Arithmetic Mean moved to Arithmetic mean: There's no need to capitalize "mean")

Arithmetic Mean

The arithmetic mean of a set of numbers (or variables) is the sum of all the numbers, divided by the number of numbers. If we let ${AM}$ denote Arithmetic Mean, $AM=\frac{x_1+x_2+\cdots+x_n}{n}$ is the arithmetic mean of the ${n}$ numbers $x_1,x_2,\ldots,x_n$.

(Umm how can you center an equation (\[ \])?)

For example, if I wanted to find the average of the numbers 3, 1, 4, 1, and 5, I would compute: $\frac{3+1+4+1+5}{5} = \frac{14}{5}$. Arithmetic means are also called averages. Arithmetic means show up frequently in contest problems.