Monday, March 10, 2008

Weighted Arithmetic Mean

Formula:



Where w are the weights

Description:

Data elements with a high value for the weight contribute more to the weighted mean than do elements with a low value for the weight. The weights must not be negative.

Example:

I buy 20 red balls and 30 blue balls. Red balls cost one dollar each, blue balls cost two dollars each. What is the average price of the balls I purchased?

20*1+30*2/50=80/50=$1.60

Another way using proportions: red balls represent 40%, blue balls 60%.

0.4*1+0.6*2/1=$1.60