Weighted Average Calculator
Calculate weighted average where different values have different importance weights
Calculate Weighted Average
Calculation Results
Weight Distribution
Weighted Average Formula
Step-by-Step Calculation
Common Applications
GPA Calculation
Course 1: Grade A (4.0), 3 credits
Course 2: Grade B (3.0), 4 credits
Course 3: Grade A- (3.7), 2 credits
Weighted GPA: (4.0×3 + 3.0×4 + 3.7×2) ÷ (3+4+2) = 3.4
Final Grade
Homework: 85%, Weight: 20%
Midterm: 78%, Weight: 30%
Final Exam: 92%, Weight: 50%
Final Grade: (85×0.2 + 78×0.3 + 92×0.5) = 86.4%
How to Use
Enter Values
Input the numerical values you want to average
Set Weights
Assign importance weights to each value
View Results
See weighted average and step-by-step calculation
Weight Guidelines
Higher weights make values more important in the final average
Weights can be percentages (0.3 for 30%) or whole numbers (3)
Equal weights (all 1) produce the same result as simple average
Weights must be positive numbers greater than 0
Understanding Weighted Averages
What is a Weighted Average?
A weighted average is a type of mean where some values contribute more to the final result than others. Each value is multiplied by a weight that represents its relative importance before averaging.
When to Use Weighted Average
- •Academic grading (exams worth more than quizzes)
- •Portfolio analysis (different investment amounts)
- •Survey analysis (demographic weighting)
- •Quality control (importance-based testing)
Formula Explanation
x̄ = Σ(wᵢ × xᵢ) / Σwᵢ
Weighted Average = Sum of (weight × value) / Sum of weights
Key Properties
- •If all weights are equal, weighted average = simple average
- •The result is pulled toward values with higher weights
- •Weights can be expressed as percentages or ratios
- •More accurate for data with varying importance