A great example of a weighted mean is grade point average. We will let an A is worth 4 grade points, B is worth 3 grade points, C is worth 2 grade points, D is worth 1 grade point, and F is worth 0 grade points. Consider the following student's grades

Course	Credits (\(w\))	Grade (\(X\))
English Composition 1	3	A (4 points)
Introduction to Psychology	3	C (2 points)
Biology 1	4	B (3 points)
Physical Education	2	D (1 point)

\[\bar{X}=\frac{\sum wX}{\sum w}=\frac{3\cdot 4+3\cdot 2+4\cdot 3+2\cdot 1}{3+3+4+2}=\frac{32}{12}=2.7\]

The grade point average is 2.7!