Grade Distribution Analyzer Formula

Understand the math behind the grade distribution analyzer. Each variable explained with a worked example.

Formulas Used

Class GPA

class_gpa = total_grade_points / total_students

A Percentage

pct_a = count_a / total_students * 100

B Percentage

pct_b = count_b / total_students * 100

C Percentage

pct_c = count_c / total_students * 100

Pass Rate (D or better)

pass_rate = (count_a + count_b + count_c + count_d) / total_students * 100

Total Students

total_enrolled = total_students

Variables

VariableDescriptionDefault
count_aNumber of A Grades8
count_bNumber of B Grades12
count_cNumber of C Grades7
count_dNumber of D Grades2
count_fNumber of F Grades1
total_studentsDerived value= count_a + count_b + count_c + count_d + count_fcalculated
total_grade_pointsDerived value= count_a * 4 + count_b * 3 + count_c * 2 + count_d * 1 + count_f * 0calculated

How It Works

How to Analyze Grade Distribution

Grade distribution shows how student performance is spread across letter grades.

Formula

Percentage = Count at Grade / Total Students x 100

Class GPA = (A x 4 + B x 3 + C x 2 + D x 1 + F x 0) / Total Students

A healthy distribution is roughly bell-shaped. Heavy concentrations at extremes may indicate assessment or instruction issues.

Worked Example

A class of 30: 8 A's, 12 B's, 7 C's, 2 D's, 1 F.

count_a = 8count_b = 12count_c = 7count_d = 2count_f = 1
  1. 01Total students: 8 + 12 + 7 + 2 + 1 = 30
  2. 02Grade points: 32 + 36 + 14 + 2 + 0 = 84
  3. 03Class GPA: 84 / 30 = 2.80
  4. 04A percentage: 8/30 = 26.7%, B: 40.0%, C: 23.3%
  5. 05Pass rate: 29/30 = 96.7%

Ready to run the numbers?

Open Grade Distribution Analyzer