Grades
Weighted grade
Multiply each category score by its weight and add the products. Valid when the weights add up to one.
The Formula
grade = sum of (score x weight)
Multiply each category score by its weight and add the products. Valid when the weights add up to one.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| g | Course grade | % | The weighted result as a percentage. |
| s | Category score | % | The percentage earned in one category. |
| w | Category weight | decimal | That category's share of the course, as a decimal. |
What Each Symbol Means
g%
Course grade
The weighted result as a percentage.
s%
Category score
The percentage earned in one category.
wdecimal
Category weight
That category's share of the course, as a decimal.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate a weighted grade page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate A Weighted Grade, filed under Education. Every number the guide produces comes from substituting into this one line.