Weighted Average Calculator
Calculate a weighted average from values that do not all count equally. Enter each value with its weight, switch between percent and raw relative weights, and see the normalized share behind the final answer.
How It Works
Formula
Variables, symbols and units
- Value in row i
- Positive weight in row i
- Total entered weight
Calculation method explained
Enter one row per component with a value and a positive weight. The calculator multiplies every value by its weight, adds those products, and divides by the total entered weight. That is why a weighted average can differ from a regular average even when the same values are involved.
Frequently Asked Questions
How is a weighted average different from a regular average?
A regular average gives every value the same influence. A weighted average multiplies each value by its weight first, so larger weights count more in the final result.
Do my weights have to add up to 100%?
No. This calculator divides by the total entered weight, so percent weights that total 80% or raw weights like 5, 3, and 2 still produce the correct weighted mean.
Can I use negative values?
Yes. Negative values are allowed when they represent a real signed quantity. Weights still need to stay positive so the weighting itself remains meaningful.
Does this know my grading or business rules?
No. It only applies the weighted-mean arithmetic. It does not know GPA policy, dropped categories, tax logic, KPI caps, or any institution-specific interpretation.