Math 244 Spring 2003 Sections 9-11 Professor Bumby


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Grading

The course grades will be based on a ranking on a 700 point scale composed of the following items:

An effort will be made to respect any clustering of grades in assigning course grades.

Exam 1 has been graded. If you want to check the grades that I have recorded for you, you can find exam scores in the FAS Gradebook. The average on exam 1 (including only those taken at the scheduled time) was 59.8636 out of 80 and the median was 66. For each exam, there is also a distribution of scores (but no attempt to assign letter grades) and scaled averages (formed my dividing by the maximum possible score [or base score ] and multiplying by 10) for each problem. Scaling allows easy comparison of the difficulty of problems of different weight.

Exam 1
Distribution
Range Count
76 - 80 9
71 - 75 9
66 - 70 15
61 - 65 6
56 - 60 6
51 - 55 6
46 - 50 3
41 - 45 2
35 - 40 5
below 35 5
Problems
Prob. # Scaled Avg.
1 8.13
2 8.67
3 7.41
4 7.78
5 5.42

Scores below 50 on Exam 1 should be considered unsatisfactory. A score is in this range indicates a serious difficulty with the subject that must be corrected before continuing in this course.


scatter plot of grades

Exam 2 has been graded. The average grade was 71.75 out of 80, and the distribution of grades below reveals that half of the grades were above 75. The scatter plot shows the comparison of grades on exams 1 and 2. The line of positive slope in the figure is a regression line (the line that minimizes the sum of the squares of the vertical distances of the points). It essentially uses the result of the first exam to predict the rsult of the second, so points above the line represent an improvement relative to the general class performance. The line of slope -1 in the figure shows the total used to define unsatisfactory performance in assigning "warning" grades. Exam grades have also been entered in the FAS Gradebook.

Exam 2
Distribution
Range Count
76 - 80 34
71 - 75 12
66 - 70 9
61 - 65 3
56 - 60 5
below 55 5
Problems
Prob. # Scaled Avg.
1 8.56
2 8.50
3 9.66
4 9.28
5 7.96

Exam 3 has been graded. The average score was 65.16 and median was 67. Details are below the scatter plot showing the comparison of grades on this exam with the sum of scores on exams 1 and 2. The line of positive slope in the figure is a regression line (as described previously). There are also two lines of slope -1: one with a sum of 130 and one with a sum of 205. The former marks the bottom of a large gap isolating a small number of unsatisfactory grades from the rest of the class; the latter shows a small gap forming to separate superior work (grades of A or B+) from other satisfactory grades. Exam grades have also been entered in the FAS Gradebook.

scatter plot of grades

Exam 3
Distribution
Range Count
78 - 80 4
74 - 77 11
70 - 73 14
63 - 69 14
58 - 62 8
below 58 11
Problems
Prob. # Scaled Avg.
1 8.99
2 8.94
3 8.54
4 7.22
5 6.91

Exam 4 has been graded. The average score was 64.72 and median was 67. A scatter plot shows the comparison of grades on this exam with the sum of scores on exams 1, 2 and 3. The line of positive slope in the figure is a regression line (as described previously). There are also lines of slope -1 showing sum of 230, 260, and 290. Exam grades have also been entered in the FAS Gradebook.

scatter plot of grades

Exam 4
Distribution
Range Count
76 - 79 14
70 - 74 11
64 - 68 11
57 - 62 12
50 - 55 7
below 50 5
Problems
Prob. # Scaled Avg.
1 9.43
2 8.96
3 7.62
4 8.56
5 4.78

scatter plot of grades Another scatter plot has been prepared showing the role of Maple in preparing for exams. The horizontal axis shows the total of the four Maple labs and the vertical axis the total of four exams.
scatter plot of grades

The Final Exam has been graded. The average grade was 169.2 out of 200. The usual tables are given below, exam and course grades have been entered in the FAS Gradebook. The scatter plot shows the relation between coursework and the final exam with the usual trend line and lines marking regions for grades: (A) 630 (B+) 590 (B) 535 (C+) 480 (C) 440 (other).

Final Exam
Distribution
Range Count
190 - 199 15
180 - 189 11
170 - 179 12
160 - 169 5
150 - 159 4
140 - 149 5
130 - 139 5
120 - 129 2
below 120 2
Problems
Prob. # Scaled Avg.
1(A) 9(B) 5(C) 9.10
5(A) 1(B) 9(C) 9.49
9(A) 5(B) 1(C) 8.46
6(A) 2(B) 10(C) 9.18
2(A) 10(B) 6(C) 8.66
10(A) 6(B) 2(C) 8.60
11(A) 7(B) 3(C) 8.58
7(A) 3(B) 11(C) 8.38
3(A) 11(B) 7(C) 7.86
4(A) 12(B) 8(C) 7.19
12(A) 8(B) 4(C) 7.85
8(A) 4(B) 12(C) 8.40


Last updated: May 12, 2003