# What is your final weighted average is ? math questions?

To calculate a weighted average, use the formula weighted average=

∑xw

∑w, where w is the weight of the piece of data, x; ∑xw is the sum of the products of each piece of data multiplied by its weight; and ∑w is the sum of the weights.

Suppose that your final grade for a course is determined by a midterm exam and a final exam. The midterm exam is worth 40% of your grade, and the final exam is worth 60%. If your midterm grade is 77 and your final exam grade is 67, calculate your final weighted average.

Your final weighted average is _______

### 1 Answer

- 4 months ago
The easiest way to think of this is like you had ten tests. Because the midterm is 40% of your final grade, four of these tests will have the score of 77. And because the final exam is 60% of your final grade, six of these tests will have the score of 67. Like so:

77

77

77

77

67

67

67

67

67

67

If you total these, you get 710. Divided that by 10 to get the average and your answer is 71.

I never learned to do it with that particular formula, though.