In the example of the scrabble
tiles, given by /dev/joe
above, the weight
s used (occurences
) led us to getting the exact arithmetic mean
of values all the scrabble
tiles. This is not necessarily true for all weighted average
The weights are more generally related to some measures of importance you gave the individual values in order to make up the desired weighted average. In such cases the weighted average would not be at all directly related to the normal average or arithmetic mean.
For example, the weights could be related to the age of the value, where the recent values are considered more important, such as in Weighted Average with denominator 7.