Weighted Mean Calculator
This calculator helps you compute the weighted mean of a dataset, where each value contributes according to its assigned weight. It’s ideal for calculating average grades, weighted scores, financial indices, or any scenario where some values matter more than others.
Calculate Weighted Average of Values with Custom Weights
Weighted Mean Formula
$$\text{Weighted Mean} = \frac{x_1 \cdot w_1 + x_2 \cdot w_2 + \cdots + x_n \cdot w_n}{w_1 + w_2 + \cdots + w_n}$$
Explanation:
Each value is multiplied by its weight, the results are summed, and then divided by the total of all weights. The higher the weight, the more influence the value has on the final result.
Weighted Mean – Calculation Example
Values: 70, 80, 90
Weights: 1, 2, 1
- Multiply each → 70×1 = 70, 80×2 = 160, 90×1 = 90
- Sum products → 70 + 160 + 90 = 320
- Sum weights → 1 + 2 + 1 = 4
- 320 ÷ 4 = 80
Result: Weighted Mean = 80
The weighted mean is widely used in education (for GPA), economics (weighted price indices), and decision-making models. It provides a more accurate average when different values have varying importance or frequency.