The weighted grade is equal to the sum of the product of the weights (w) in percent (%) times the grade (g):
Weighted grade = w1×g1+ w2×g2+ w3×g3+...
Math course with grade of 80 and weight of 30%.
Biology course with grade of 90 and weight of 50%.
History course with grade of 72 and weight of 20%.
The weighted average grade is calculated by:
Weighted grade =
= w1×g1+ w2×g2+ w3×g3
= 30%×80+ 50%×90+ 20%×72 = 83.4
When the weights are not in percent (hours or points...), you should also divided by the sum of the weights:
Weighted grade = (w1×g1+ w2×g2+ w3×g3+...) / (w1+w2+w3+...)
3 points Math course with grade of 80.
5 points Biology course with grade of 90.
2 points History course with grade of 72.
The weighted average grade is calculated by:
Weighted grade =
= (w1×g1+ w2×g2+ w3×g3) / (w1+w2+w3)
= (3×80+ 5×90+ 2×72) / (3+5+2) = 83.4
The average grade is equal to the sum of each grade, times the weight of each grade, divided by the sum of the weights.
The final exam grade is equal to the required grade, minus (100% minus the final exam weight) times the current grade, divided by the final exam weight.
The average grade is equal to the sum of each grade, times the weight of each grade, divided by the sum of the weights.
Average grade = (50%*80+50%*90) = (80+90)/2 = 85