Final grading summary
Elementary Statistics: Spring 2022

This document contains information about

  1. Final exam statistics
  2. How to compute your overall grade
  3. Letter grade boundaries, and stats on overall grade for the whole class

1. Final exam statistics

NOTE: The size of this class was too small to meaningfully interpret any class averages. But they're here for your reference anyway.

Total possible points on the final exam was 50.

  • Number who took the exam = 12.
  • Class averages: median=33 (on 50), mean=31.4 (on 50).

2. How to compute your overall grade

Note that the "Course total" percentage shown in Moodle is your correct final average. I will recap the grading breakdown here, and describe how to calculate your own grade using the numbers shown in Moodle.

Overall grade includes all the assessed items in the course. We had 13 homeworks, 9 quizzes, 6 classwork/labs, 2 tests, and the final exam. One lowest grade was dropped from the homework, and from the quizzes. Here is a recap of the grading distribution as stated in the syllabus:
      Homework = 15%
      Quizzes = 20%
      Classwork/ Labs = 20%
      Tests = 15% x 2 tests = 30%
      Final exam = 15%

Here is how you would calculate overall grade using your own data:

(Add top 12 homeworks)*15/240 + (Add top 8 quizzes)*20/48 + (Add all 6 classwork/labs)*20/60 + (Add both tests)*30/100 + (Final exam)*15/50

This number is your overall grade (on 100%).

[If you want to understand this formula, for each category the numerator is the percentage weight, and denominator is total possible points in that category. Recall: there were 12 homeworks worth 20 points each (12*20=240), 8 quizzes worth 6 points each (8*6=48), 6 classwork/labs worth 10 points (10*6=60), etc. So, if you made full credit on every item in the course, your overall grade would be exactly 100%.]

3. Letter grades and stats on overall grade for the whole class

The following summary statistics are computed based on the final average of all students in the class:
  • Median=72.6%, IQR=16.3%, mean=69.3%, SD=18.6%
Actual letter grades were assigned based on the following boundaries (written in standard open/closed interval notation):

        A+ = [92, 100];   A = [87, 92);   A- = [83, 87)
        B+ = [79, 83);   B = [74, 79);   B- = [70, 74)
        C+ = [66, 70);   C = [61, 66);   C- = [57, 61)
        D+ = [53, 57);   D = [48, 53);   D- = [44, 48)

For example, a student whose overall grade is 82.97% would make a grade of B+.   I do not round up (or down) -- for example, 82.97% doesn't become 83%, it stays 82.97%.

Distribution of letter grades

Grade # of students Relative freq (%)
A+, A, A- 3 25
B+, B, B- 5 41.7
C+, C, C- 2 16.7
D+, D, D- 1 8.3
F 1 8.3