acalculator

What is my weighted grade?

Enter each grade with the share of the course it is worth. The weighted grade updates as you type.

Your numbers

The share of the course, from the syllabus.
Weighted grade
84.1%

Your weighted grade is 84.1% (B).

B

  1. F
  2. D-
  3. D
  4. D+
  5. C-
  6. C
  7. C+
  8. B-
  9. B
  10. B+
  11. A-
  12. A
Letter grade
B
Weight graded
100%
Points banked
84.1

Weighted grade: 84.1%. Your weighted grade is 84.1% (B).

How to calculate

Computes a weighted grade from grades and their percent weights, its letter grade, and the points banked toward the course grade so far.

Example with the default inputs (Grade 1 90%, Weight 1 15%, Grade 2 82%, Weight 2 20%, Grade 3 76%, Weight 3 25%, Grade 4 88%, Weight 4 40%): Your weighted grade is 84.1% (B).

Method: weighted grade = Σ(grade × weight) ÷ Σ(weight); points banked = Σ(grade × weight) ÷ 100.

  • Weights are shares of the course in percent. When they add up to less than 100%, the weighted grade covers only the parts entered.
  • A grade needs a weight. A weight with no grade is a part not graded yet: it is left out of the weighted grade and counts in the weight left.
  • Letter grades follow the Tompkins Cortland Community College (SUNY) scale: A 93 and up, A- 90 to below 93, B+ 87, B 83, B- 80, C+ 77, C 73, C- 70, D+ 67, D 63, D- 60, F below 60.

Machine-readable copies: Markdown, JSON.

Worked examples

Each example is checked against the calculator on every build.

  1. Grade 1 90%, Weight 1 15%, Grade 2 82%, Weight 2 20%, Grade 3 76%, Weight 3 25%, Grade 4 88%, Weight 4 40% gives Weighted grade 84.1%, Letter grade B, Weight graded 100%, Points banked 84.1.Source: hand calculation in content.mdx: 8,410 ÷ 100 = 84.1%
  2. Grade 1 95%, Weight 1 10%, Grade 2 80%, Weight 2 30%, Weight 3 60% gives Weighted grade 83.75%, Letter grade B, Weight graded 40%, Points banked 33.5, Weight left 60%.Source: hand calculation in content.mdx: 3,350 ÷ 40 = 83.75%; 3,350 ÷ 100 = 33.5 points
  3. Grade 1 90%, Weight 1 60%, Grade 2 70%, Weight 2 60% gives Weighted grade 80%, Letter grade B-, Weight graded 120%, Note The weights add up to more than 100%. Check them against the syllabus..Source: hand calculation in content.mdx: (90 × 60 + 70 × 60) ÷ 120 = 80%
  4. Grade 1 59.5%, Weight 1 50%, Grade 2 60.5%, Weight 2 50% gives Weighted grade 60%, Letter grade D-.Source: Tompkins Cortland Community College grading scale: D- is 60 to 62, F is 59 and below

How it works

Each row is one part of the course: an assignment or a category such as homework or exams. Give its grade in percent and its weight, the share of the course grade it is worth in percent.

weighted grade = Σ(grade × weight) ÷ Σ(weight)

points banked = Σ(grade × weight) ÷ 100

weight left = 100% − Σ(weight), shown when the weights of the graded parts add up to less than 100%.

The sums run over the graded parts: rows with both a grade and a weight.

The weighted grade gets a letter on the Tompkins Cortland Community College scale. A grade belongs to a letter when it is at or above that letter's lower limit and below the next letter's lower limit.

  • A: 93 and up
  • A-: 90 to below 93
  • B+: 87 to below 90
  • B: 83 to below 87
  • B-: 80 to below 83
  • C+: 77 to below 80
  • C: 73 to below 77
  • C-: 70 to below 73
  • D+: 67 to below 70
  • D: 63 to below 67
  • D-: 60 to below 63
  • F: below 60

Assumptions

  • With no graded part (no row with both a grade and a weight) there is no answer.
  • A grade needs a weight; a grade with no weight gives no answer until you add one. A weight with no grade is a part not graded yet: it is left out of the weighted grade and counts in the weight left.
  • Grades from 0% to 200% are accepted, so extra credit counts. Weights are from 0.01% to 100%.
  • When the weights add up to more than 100%, the page still divides by their sum and shows a note.

Worked examples by hand

A full course. Homework 90% (15%), quizzes 82% (20%), midterm 76% (25%), final exam 88% (40%).

  • Products: 90 × 15 = 1,350; 82 × 20 = 1,640; 76 × 25 = 1,900; 88 × 40 = 3,520. Sum: 8,410.
  • Weights: 15 + 20 + 25 + 40 = 100. Weighted grade: 8,410 ÷ 100 = 84.1%, a B. Points banked: 8,410 ÷ 100 = 84.1.

Part of the course graded. 95% on a part worth 10%, 80% on a part worth 30%, and a final exam worth 60% with no grade yet.

  • Products: 950 + 2,400 = 3,350. Weights: 40. Weighted grade: 3,350 ÷ 40 = 83.75%, a B.
  • Points banked: 3,350 ÷ 100 = 33.5. Weight left: 100 − 40 = 60%.

Weights over 100%. 90% and 70%, each worth 60%: (5,400 + 4,200) ÷ 120 = 80%, a B-, with a note that the weights add up to 120%.

A letter boundary. 59.5% and 60.5%, each worth 50%: (2,975 + 3,025) ÷ 100 = 60%, a D-, because a D- starts at 60%.

Other questions people ask

How do you calculate a weighted grade?

Multiply each grade by its weight, add the products, and divide by the sum of the weights. Homework 90% (15%), quizzes 82% (20%), a midterm 76% (25%), and a final 88% (40%) give (1,350 + 1,640 + 1,900 + 3,520) ÷ 100 = 84.1%.

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

The weighted grade divides by the weights you entered, so it is your average over the graded parts only. If 40% of the course is graded, the weighted grade is your grade on that 40%. The page also shows the weight left, 100% minus what you entered.

What are points banked?

Points banked are Σ(grade × weight) ÷ 100: the points you have earned toward a course grade out of 100. With 95% on a part worth 10% and 80% on a part worth 30%, you have banked 9.5 + 24 = 33.5 points. It equals the course grade you would get if every part not entered scored 0.

How is a weighted grade different from a plain average?

A plain average counts every grade the same. A weighted grade lets a final worth 40% count more than homework worth 15%. With 90% on homework and 70% on the final, the plain average is 80%, but with weights of 15% and 40% the weighted grade is (90 × 15 + 70 × 40) ÷ 55 = 75.45%.

What if the weights add up to more than 100%?

The page still divides by the sum, so the weighted grade is right for the numbers you entered, but it shows a note. Weights from a syllabus should add up to 100%, so a total above it usually means a typo.

Which letter scale does this use?

The Tompkins Cortland Community College (SUNY) scale: A 93 and up, A- 90 to 92, B+ 87 to 89, B 83 to 86, B- 80 to 82, C+ 77 to 79, C 73 to 76, C- 70 to 72, D+ 67 to 69, D 63 to 66, D- 60 to 62, F 59 and below. Your school may use different cutoffs.