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Class Average Calculator

Calculate class average, median, standard deviation, and grade distribution from up to 40 scores.
Returns pass rate at 60% and 70% thresholds for teachers.

Class Statistics

Class grade averaging can be calculated three different ways depending on whether all assignments carry equal weight: simple mean (all equal), weighted mean (different weights), or a hybrid of both. Most academic grading systems use weighted averages.

Simple average formula: Average = Sum of All Scores ÷ Number of Scores

Weighted average formula: Weighted Average = Σ (Score × Weight) ÷ Σ Weights

Where each weight is typically expressed as a percentage of the final grade (weights must sum to 100%).

Letter grade conversion (standard US scale):

  • A: 90–100%
  • B: 80–89%
  • C: 70–79%
  • D: 60–69%
  • F: below 60%

GPA conversion:

  • A = 4.0 | A− = 3.7
  • B+ = 3.3 | B = 3.0 | B− = 2.7
  • C+ = 2.3 | C = 2.0 | C− = 1.7
  • D = 1.0 | F = 0.0

Standard deviation of scores (class spread): σ = √[Σ(Score − Mean)² ÷ N] A low σ means scores cluster near the average. A high σ indicates wide score spread.

What each variable means:

  • Weight — the proportion of the final grade each component represents. Typical breakdown: Tests 40%, Homework 25%, Midterm 15%, Final Exam 20%
  • Curved grading — professors sometimes add a fixed number of points, or scale so the highest score = 100%, preserving relative rankings
  • Median vs mean — for skewed distributions (where a few students score very high or very low), the median is a more representative “typical” score than the mean

Worked example — weighted average: Student scores:

  • Homework (25% weight): 88
  • Quiz average (20% weight): 74
  • Midterm (25% weight): 81
  • Final exam (30% weight): 91

Weighted Average = (88×0.25) + (74×0.20) + (81×0.25) + (91×0.30) = 22.0 + 14.8 + 20.25 + 27.30 = 84.35%

Letter grade: B (80–89%) GPA points: 3.0

If the student needed a 90% final to earn an A overall, they needed: solve for Final score where (88×0.25) + (74×0.20) + (81×0.25) + (Final×0.30) = 90 → Final = (90 − 57.05) ÷ 0.30 = 109.8 — not achievable, confirming the A was out of reach before the final.


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