Weighted Average Calculator
About Weighted Average
A weighted average is calculated by multiplying each value by its weight, summing the products, and dividing by the sum of weights.
Formula:
Weighted Average = Σ(value × weight) / Σ(weights)
Example:
Values: [80, 90, 70]
Weights: [0.3, 0.5, 0.2]
Average = (80×0.3 + 90×0.5 + 70×0.2) / (0.3 + 0.5 + 0.2) = 82
Weighted Average = Σ(value × weight) / Σ(weights)
Example:
Values: [80, 90, 70]
Weights: [0.3, 0.5, 0.2]
Average = (80×0.3 + 90×0.5 + 70×0.2) / (0.3 + 0.5 + 0.2) = 82
Properties:
- Weights must be non-negative
- Sum of weights should be positive
- Result is between min and max values
- Higher weights have more influence
Applications:
- Grade point averages
- Financial analysis
- Statistical analysis
- Performance evaluation
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