Assignment Weight Calculator Formula

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

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%

Frequently Asked Questions

What if my weights don't add up to 100?

The calculator normalizes by dividing by the total weight, so it works correctly even if weights sum to something other than 100.

How do I know the weights for my class?

Check the course syllabus. Instructors are required to disclose grading weights at the start of the term.

Can I add more assignment categories?

This tool supports three categories. Combine smaller categories (e.g., quizzes + participation) into one entry.

Ready to run the numbers?

Open Assignment Weight Calculator