What is the formula for a weighted average?

Weighted Average = Σ (Score_i × Weight_i) ÷ Σ (Weight_i), where each value is multiplied by its weight, summed together, and divided by the total sum of all weights.

What happens if weights do not add up to 100%?

Our calculator automatically normalizes your weights so you can calculate your current weighted standing at any point in the semester before all coursework is finished.

How does a weighted average differ from a simple average?

In a simple average, all items carry the same weight (1/N). In a weighted average, high-impact items like a 40% Final Exam carry four times more influence than a 10% quiz.

Weighted Average Calculator

Compute the weighted mean of any set of values and weights with instant normalization, visual category contribution legends, and letter grade conversion.

Weighted Average Calculator

Enter your scores and their corresponding percentage weights below.

Category Name (4)

Total Weight:100%

Category Name

Score Earned (%)

Weight (%)

Category #1

Score %

Weight %

Category #2

Score %

Weight %

Category #3

Score %

Weight %

Category #4

Score %

Weight %

Weighted Real-Time

Overall Course Grade

85.7%

Letter Grade: B3.0 GPA

Category Contribution Map100% Total

Homework & Problem Sets(20%)

+18.4%

Quizzes & Short Tests(20%)

+17%

Midterm Examination(25%)

+19.5%

Final Examination(35%)

+30.8%

Understanding the Weighted Average Formula

In statistics and academic grading, an unweighted average gives identical importance to every item. In contrast, a weighted average assigns different levels of importance based on syllabus weightings or dataset significance.

Mathematical Formula:
Weighted Average = ∑ (w_i × x_i) ÷ ∑ w_i

Worked Academic Example

Consider a college economics syllabus with the following weighted grading categories:

Homework (20% Weight): Score = 95% → Contribution = 0.20 × 95 = 19.0%
Quizzes (15% Weight): Score = 84% → Contribution = 0.15 × 84 = 12.6%
Midterm Exam (25% Weight): Score = 88% → Contribution = 0.25 × 88 = 22.0%
Final Exam (40% Weight): Score = 91% → Contribution = 0.40 × 91 = 36.4%

Sum of Contributions: 19.0 + 12.6 + 22.0 + 36.4 = 90.0%

Letter Grade: A- (3.7 GPA Quality Points).

Frequently Asked Questions

A weighted average is a statistical mean where each data point contributes proportionally according to an assigned numerical weight (relative importance), rather than treating each value equally as in an unweighted arithmetic mean.

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