Compute weighted averages for assignments, quizzes and exams.
Enter values and their corresponding weights. The weighted average updates instantly.
| Item | Value | Weight |
|---|
Weighted Average
0.00
Sum of weights: 0 · Items: 0
The Weighted Average Calculator computes a mean where each value contributes proportionally to its assigned weight. Enter each item with its value and weight, and the calculator instantly returns the weighted average along with the total weight and item count for verification. This is the same math used in GPA calculation, financial portfolio returns, and weighted grading systems.
Weighted Average = Σ ( Value × Weight ) ÷ Σ ( Weight )
Suppose you have three quizzes with different weights:
Sum of products = 85 + 184 + 234 = 503. Sum of weights = 1 + 2 + 3 = 6. Weighted average = 503 ÷ 6 = 83.83.
Compare this to the simple average: (85 + 92 + 78) ÷ 3 = 85. The weighted average is lower because the lowest score (78) had the highest weight.
Weighted averages are essential whenever items in a dataset have different levels of importance. In academics, this is most common in grading systems where a final exam might be worth 40% of the grade while weekly quizzes are worth only 5% each. Treating these as a simple average would dramatically understate the importance of the final exam and overstate the importance of any single quiz.
Beyond academics, weighted averages power investment portfolio returns (each asset weighted by its dollar value), consumer price indices (each good weighted by typical household spending), and statistical survey analysis (each response weighted by demographic representation). Mastering the weighted average formula therefore gives you a tool that transfers directly to finance, economics, statistics, and data science.
A weighted average is an average where each value contributes proportionally to its assigned weight. Unlike a simple average where every value counts equally, a weighted average lets you assign more importance to certain values — for example, a final exam worth 40% vs a quiz worth 10%.
In a simple average, every value has equal weight (just sum and divide by count). In a weighted average, each value is multiplied by its weight before summing, then divided by the total weight. The weighted formula gives more influence to higher-weighted items.
That is fine. Weights can be any positive numbers — credit hours, point values, or percentages. The calculator normalizes automatically by dividing by the sum of weights.
Weighted averages appear in GPA calculation (weighted by credit hours), financial portfolio returns (weighted by investment amount), inflation indices (weighted by consumer spending), and survey statistics (weighted by demographic representation).
In most practical scenarios, no. Weights represent importance or quantity, which are non-negative. This calculator requires positive weights.
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