Weighted Average Calculator
Calculate weighted average with weights
ValueWeight
Wzór na średnią ważoną:
x̄ = Σ(wartość × waga) / Σ(waga)
Weighted Average Calculator Online
Weighted average is a type of average where each value has a weight that reflects its importance. It is widely used in school, university, finance and data analysis. Formula: x̄ = (w₁·x₁ + w₂·x₂ + ... + wₙ·xₙ) / (w₁ + w₂ + ... + wₙ)
Where is weighted average used?
- School and university - Calculating grade averages with different weights
- Finance - Weighted average cost of capital (WACC)
- Investments - Average share purchase price
- Statistics - Analysing data with different importance
- Performance reviews - Weighted criteria
Weighted average vs arithmetic mean
| Feature | Arithmetic mean | Weighted average |
|---|---|---|
| Weights | All equal (1) | Different for each value |
| Formula | Σx / n | Σ(w·x) / Σw |
| Use case | Equivalent data | Data with different importance |
Frequently asked questions
Do weights have to sum to 1 or 100%?
No, weights can be any positive numbers. The calculator divides the sum of products by the sum of weights automatically.
How do I calculate weighted average for grades?
Enter each grade as the value and its weight (e.g. test = 3, quiz = 2, oral = 1).
Can I use negative weights?
No, weights must be positive numbers.