Weighted Average Calculator
Calculate the weighted average of up to three values with their corresponding weights.
The Weighted Average Calculator computes an average where each value contributes differently based on its assigned weight. Unlike a simple average where all values count equally, a weighted average gives more importance to values with higher weights.
Formula
Weighted Average = (value₁ × weight₁ + value₂ × weight₂ + value₃ × weight₃) ÷ (weight₁ + weight₂ + weight₃)
Common Uses
- Academic grades: Homework 30%, midterm 30%, final 40%
- Investment portfolios: Return weighted by allocation
- Quality scores: Different criteria with different importance levels
- Statistical analysis: Surveys with varying sample sizes
Enter up to three values with their weights. Weights can be percentages (summing to 100) or any proportional numbers. The calculator normalizes them automatically.
Frequently Asked Questions
Do the weights need to add up to 100?
No. Weights can be any positive numbers. The calculator divides by the total weight automatically. Weights of 1, 2, 3 work just as well as 16.7%, 33.3%, 50%.
What if I only have two values?
Leave value 3 and weight 3 empty or set them to 0. The calculator will only use the provided value-weight pairs.
How is this different from a simple average?
A simple average treats all values equally. A weighted average lets you specify how important each value is. For example, if your final exam is worth 50% of your grade, it should have a higher weight.