Weighted Average Calculator
Calculate weighted average where each value has a different importance or weight.
Enter Values & Weights
Value
Weight
Total Weight:100.00
Calculation Breakdown
85 × 30= 2550.00
90 × 40= 3600.00
80 × 30= 2400.00
Weighted Sum:8550.00
Total Weight:100.00
Weighted Average:85.5000
Result
Weighted Average
85.50
Simple Average
85.00
(for comparison)
Difference
0.50
Formula
Σ(value × weight) / Σ(weight)
Understanding Weighted Averages
A weighted average accounts for the relative importance of each value. Values with higher weights contribute more to the final average than values with lower weights.
When to Use Weighted Average
- Grade Calculation: Exams worth 40%, homework 30%, participation 30%
- Portfolio Returns: Different investment amounts in different assets
- Survey Results: Responses weighted by demographic representation
- Quality Scores: Different aspects with varying importance
Example: Course Grade
Calculate final grade with weighted components:
- Midterm: 85 (weight 30%)
- Final: 90 (weight 40%)
- Homework: 80 (weight 30%)
Weighted Average = (85×30 + 90×40 + 80×30) / (30+40+30) = 85.5