What is a Weighted Average Grade?
A weighted average grade reflects the fact that not every assessment counts equally toward your final mark. A final exam worth 50% should influence your grade far more than a quiz worth 5%. This calculator multiplies each grade by its weight, adds those products together, and divides by the total of all weights to give a single, fair overall score.
How to Use It
Enter each grade in the left column and its corresponding weight in the right column. Weights can be percentages (20, 30, 50) or any consistent units (such as credit hours or points). You can fill in up to five grade/weight pairs — leave unused rows blank. The calculator handles any total; the weights do not need to add up to 100.
The Formula Explained
The weighted average is given by:
$$\text{Weighted Average} = \frac{\sum (g_i \cdot w_i)}{\sum w_i} = \frac{\text{G1}\text{W1} + \text{G2}\text{W2} + \cdots + \text{G5}\text{W5}}{\text{W1} + \text{W2} + \cdots + \text{W5}}$$
The numerator is the sum of every grade multiplied by its weight. The denominator is the sum of all the weights. Dividing one by the other normalizes the result so it lands on the same scale as your individual grades.
Worked Example
Suppose you scored 90 on coursework weighted 20, 80 on a midterm weighted 30, and 70 on a final weighted 50. The weighted sum is $$(90 \times 20) + (80 \times 30) + (70 \times 50) = 1800 + 2400 + 3500 = 7700.$$ The total weight is \(20 + 30 + 50 = 100\). So the weighted average is \(7700 \div 100 = \mathbf{77}\).
FAQ
Do the weights have to add to 100? No. The formula divides by the actual sum of weights, so any consistent set works — for example credit hours of 3, 4 and 1.
What if I leave the weights blank? Blank rows are ignored. At least one grade/weight pair must be filled for a meaningful result.
Can I use this for GPA? Yes — use grade points as the grades and credit hours as the weights to get a weighted GPA.
