Compute the weighted mean from values and assigned weights for academic grades and finance.
Result
Calculated as Σ(weight × value) divided by total weight.
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Weighted Mean = Σ(w × x) / Σw
Scores: 85 (20% weight), 90 (30% weight), 78 (50% weight).
Weighted Average: 83.00.
Find the arithmetic mean, median, mode, sum, and range for any set of numbers.
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Open calculatorIn a simple average, all numbers carry identical importance. In a weighted average, certain values contribute more significantly to the final result based on their assigned weights.
No. The formula divides by the total sum of all weights (Σw), so weights can be points, percentages, or credit units.
Weighted averages are essential when calculating semester course grades (where the final exam weighs more than weekly quizzes) and investment portfolio returns (where larger capital allocations dominate performance).