## Weighted Arithmetic Mean

The weighted arithmetic mean of a set of numbers X

_{1}, X

_{2}, ..., X

_{N}with respective weights of w

_{1}, w

_{2}, ..., w

_{N}is defined as:

Example:

For a statistics course, the final exam grade is weighted four times as much as each quiz score. For a final exam grade of 82 with quiz scores of 94, 89, 92, and 85, compute the average grade.