Weighted grade calculation

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+…

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+…)

Example

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%

thank you for that sir