Weighted Average Formula
A weighted average gives more importance to certain values based on their significance (weight). It's used in GPA calculation, stock averaging, portfolio returns, and more.
Weighted Average
Weighted Avg = Sum(value × weight) / Sum(weights)
Where:
- xi = Individual values
- wi = Corresponding weights
Step-by-Step:
- 1
Multiply each value by its weight
value1 × weight1, value2 × weight2, etc.
- 2
Sum the products
Add all (value × weight) results.
- 3
Divide by total weight
Sum of products / Sum of all weights.
Worked Examples:
GPA calculation
Math (4 credits): A (4.0)English (3 credits): B (3.0)Art (2 credits): A (4.0)
Result: GPA = 3.67
(4×4 + 3×3 + 2×4) / (4+3+2) = (16+9+8) / 9 = 3.67