Assignment Weight Calculator Formula

Understand the math behind the assignment weight calculator. Each variable explained with a worked example.

Use the Assignment Weight Calculator

Formulas Used

Weighted Final Grade

weighted_grade = (hw_score * hw_weight + midterm_score * midterm_weight + final_score * final_weight) / total_weight

Homework Contribution

hw_contribution = hw_score * hw_weight / total_weight

Midterm Contribution

midterm_contribution = midterm_score * midterm_weight / total_weight

Final Contribution

final_contribution = final_score * final_weight / total_weight

Variables

VariableDescriptionDefault
hw_scoreHomework Score(%)88
hw_weightHomework Weight(%)30
midterm_scoreMidterm Score(%)76
midterm_weightMidterm Weight(%)30
final_scoreFinal Exam Score(%)82
final_weightFinal Exam Weight(%)40
total_weightDerived value= hw_weight + midterm_weight + final_weightcalculated

How It Works

How Weighted Grades Work

Weighted grading assigns different importance to categories. A final exam worth 40% affects your grade more than homework worth 30%.

Formula

Weighted Grade = (Score_1 x Weight_1 + Score_2 x Weight_2 + ...) / Total Weight

Each category's contribution equals its score times its weight divided by total weight. This ensures proper proportional representation.

Worked Example

Homework: 88% (30% weight), Midterm: 76% (30% weight), Final: 82% (40% weight).

hw_score = 88hw_weight = 30midterm_score = 76midterm_weight = 30final_score = 82final_weight = 40
  1. 01HW contribution: 88 x 30 = 2640
  2. 02Midterm contribution: 76 x 30 = 2280
  3. 03Final contribution: 82 x 40 = 3280
  4. 04Total: 2640 + 2280 + 3280 = 8200
  5. 05Weighted grade: 8200 / 100 = 82.0%

Ready to run the numbers?

Open Assignment Weight Calculator