Weighted average grade calculator
weighted average = Σ(gradeᵢ × coefᵢ) / Σ coefᵢ
Paste or type your grade list (one line per grade, with its coefficient) and the tool calculates the exact weighted average, the total of coefficients and. Alongside, the simple unweighted average to show what the weighting changes. The list is checked line by line: any unreadable line is named with its number, nothing is guessed.
87.33 / 100
- Calculation
- average = Σ(grade × coef) ÷ Σcoef = 524 ÷ 6 = 87.33
The same average if every grade counted equally, the gap between the two measures the effect of the coefficients.
Scientific dossier
What the tool computes, what it assumes, where it stops being valid, and where its data comes from.
Method & formulasweighted average = Σ(gradeᵢ × coefᵢ) / Σ coefᵢ
weighted average = Σ(gradeᵢ × coefᵢ) / Σ coefᵢ
Each grade is multiplied by its coefficient, and the sum is divided by the total of coefficients. A grade without a coefficient counts once. The simple average is the special case where every coefficient is 1, the gap between the two measures exactly what the weighting does to your record.
- Coefficient
- · the weight of a grade in the average, set by your grading policy: coefficient 3 = the grade counts three times as much as coefficient 1. A zero coefficient is accepted, the grade appears in the list but does not count.
- Simple average
- · the arithmetic mean of the same grades with every coefficient set to 1, shown alongside to make the effect of the weighting visible.
- Grading scale
- · the maximum possible grade (100 in most systems, 20 in France). Optional: when set, it acts as a guard. A grade above the scale is flagged with its line number instead of silently skewing the average.
Validity domainThe tool applies the definition of the weighted average, the general case for grade records.
The tool applies the definition of the weighted average, the general case for grade records. It does not model institution-specific rules: minimum-grade requirements, compensation between blocks. Jury rounding, dropped lowest grades. The list is never interpreted beyond its “grade coefficient” grammar: any ambiguous line is rejected with its number rather than guessed.
Common pitfall: averaging averagesYou cannot average two averages while ignoring their weights: a 15/20 average over a 10-credit semester and a 10/20 average over a 20-credit semester do not make 12.
You cannot average two averages while ignoring their weights: a 15/20 average over a 10-credit semester and a 10/20 average over a 20-credit semester do not make 12.5. They make (15×10 + 10×20)/30 ≈ 11.7. To combine averages, enter each average as a “grade” with its number of credits as the coefficient: the formula is exactly the same.