Weighted Average Calculator
The Weighted Average Calculator helps you calculate the weighted mean of a dataset where each value contributes differently based on its assigned weight. Unlike a simple average, a weighted average gives more importance to values with higher weights.
What Is a Weighted Average?
A weighted average is an average in which each value is multiplied by a weight before being added together. The final result is obtained by dividing the weighted sum by the total of all weights.
Weighted Average Formula
Weighted Average = Σ(Value × Weight) ÷ Σ(Weight)
Example
| Value | Weight |
|---|---|
| 80 | 20 |
| 90 | 30 |
| 70 | 10 |
| 95 | 40 |
Weighted Sum = (80×20)+(90×30)+(70×10)+(95×40)=8800
Total Weight = 20+30+10+40 = 100
Weighted Average = 8800 ÷ 100 = 88
How to Use
- Enter all values.
- Enter the corresponding weights.
- Click Calculate.
- View the weighted average and supporting calculations.
Applications
- Student grade calculations
- GPA calculations
- Investment portfolio returns
- Survey analysis
- Financial forecasting
- Business analytics
- Statistics
- Machine learning
Benefits
- Accounts for varying importance of values.
- Provides more accurate averages.
- Easy to understand and calculate.
- Widely used in education and finance.
Frequently Asked Questions
What is the difference between average and weighted average?
A simple average treats every value equally, whereas a weighted average assigns different importance using weights.
Can weights be percentages?
Yes. Percentages, decimals, and whole numbers can all be used as weights as long as they are consistent.
Can weights be zero?
Yes, but if all weights are zero, the weighted average cannot be calculated.
Conclusion
The Weighted Average Calculator is a fast and accurate tool for calculating weighted means in education, finance, statistics, and many other fields. Simply enter your values and weights to get instant results.