Arithmetic mean: Difference between revisions
m Arithmetic Mean moved to Arithmetic mean: There's no need to capitalize "mean" |
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=== Arithmetic 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 <math>{AM}</math> denote Arithmetic Mean, <math>AM=\frac{x_1+x_2+\cdots+x_n}{n}</math> is the arithmetic mean of the <math>{n}</math> numbers <math>x_1,x_2,\ldots,x_n</math>. | 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 <math>{AM}</math> denote Arithmetic Mean, | ||
<center><math>AM=\frac{x_1+x_2+\cdots+x_n}{n}</math></center> | |||
is the arithmetic mean of the <math>{n}</math> numbers <math>x_1,x_2,\ldots,x_n</math>. | |||
For example, if I wanted to find the average of the numbers 3, 1, 4, 1, and 5, I would compute: | |||
<center><math> \frac{3+1+4+1+5}{5} = \frac{14}{5}.</math></center> | |||
Arithmetic means are also called averages. Arithmetic means show up frequently in contest problems. | |||
Revision as of 10:54, 22 June 2006
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 
denote Arithmetic Mean,
is the arithmetic mean of thenumbers
.
numbers 
.
For example, if I wanted to find the average of the numbers 3, 1, 4, 1, and 5, I would compute:
Arithmetic means are also called averages. Arithmetic means show up frequently in contest problems.
