Arithmetic mean: Difference between revisions
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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, | 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> | <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: | For example, if I wanted to find the average of the numbers 3, 1, 4, 1, and 5, I would compute: | ||
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 the 
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.
