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That is to say, in the example above, even though Exams are worth 50% of a student's overall grade (Exams weight 50 out of a Category weight total of 100), a grade for Exam 1 only accounts for 1/3 of that 50 weight value. (The 1/3 figure is because Exam 1 has a weight of 10, out of an Assignment weight total of 30 among the Exam assignments). That means Exam 1 is only worth 16.7% (1/3 of 50%) of a student's cumulative grade.
Likewise, even though Homework 1 has a weight of 100, it accounts for 90.9% (100/110) of the overall Homework category value of 20. Taking the calculation one step further, Homework 1 would only account for 18.2% (90.9% of 20) of the cumulative grade in this example.
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(Σk wkgk / mk) / (Σk wk) = (w1g1 / m1 + w2g2 / m2 + w3g3 / m3 + ... + wngn / mn) / (w1 + w2 + w3 + ... + wn)
Calculating Category Grades
Category grades are determined by finding the weighted grade for each assignment within the category. Then the weighted grades are
Assignment 1
| Student Grade ( g1 ) | Max Points ( m1 ) | Assignment Weight ( w1 ) | Weighted Grade ( x1 ) |
|---|---|---|---|
| 90 | 100 | 10 | 9 |
g1 / m1 = x1 / w1
90 / 100 = x1 / 10
x1 = 9
Assignment 2
| Student Grade ( g2 ) | Max Points ( m2 ) | Assignment Weight ( w2 ) | Weighted Grade ( x2 ) |
|---|---|---|---|
| 30 | 50 | 20 | 12 |
g2 / m2 = x2 / w2
30 / 50 = x2 / 20
x2 = 12
Category
Assignment 1 Weight Grade ( x1 ) | Assignment 2 Weighted Grade ( x2 ) | Assignment Weight Totals ( w1 + w2 ) | Category Weight ( W ) | Category Weighted Grade ( X ) |
|---|---|---|---|---|
| 9 | 12 | 30 | 50 | 35 |
( x1 + x2 ) / ( w1 + w2 ) = X / W
( 9 + 12 ) / ( 10 + 20 ) = X / 50
21 / 30 = X / 50
X = 35
Example: