Averaging Grades

[Wyman]

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My fiancee is a T.A. in a music class and she has to figure out grades for the kids in the class. There are five things the kids are graded on and they all are weighted differently:

Tests: 45%
Quizzes: 20%
Participation/Attendance: 15%
Online Assignments: 10%
Concert Reports: 10%

Anyone know how to explain how to figure out how to give the grades?

Thanks.

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Take the grade vector and the weight vector in five dimensional space and multiply their lengths and the cosine of the angle between them.

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Before this, make sure you write the grade vector and weight vector with respect to the same basis, imo.