Math 251 Spring 2005 Sections 14-15: Prof. Bumby


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Exam 1 has been graded. The average score was 61.83 and the median was 64. Individual grades have been entered in the FAS Gradebook. 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, since the maximum score is always 10.

Exam 1
Distribution
Range Count
76 - 79 5
67 - 69 2
62 - 65 9
60 3
46 - 56 3
25 - 30 2
Problems
Prob. # Scaled Avg.
1 8.58
2 7.75
3 9.79
4 4.58
5 8.17
6 8.47

scatter plot of grades Exam 2 has been graded. The average score was 61.04 and the median was 64. The scatter plot shows a comparison of grades on the two exams along with a trend line showing how the score on the first exam predicts the score on the second. Lines showing totals of 150, 135, 125 and 110 on the two exams have been added. These show the beginnings of a clustering of grades. A total of 110 was considered the lowest satisfactory grade, and "warnings" were recorded when the grade was lower. Individual grades, with "warning" entered in the comment field where appropriate, should have been entered in the FAS Gradebook, but the grades were not recorded. (This will be corrected as soon as possible, but many will have the graded exams in their hands before they can retrieve the grades on-line. I apologize for the inconvenience.) 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, since the maximum score is always 10.

Exam 2
Distribution
Range Count
74 - 79 6
68 - 71 3
64 - 65 3
61 - 62 2
50 - 54 5
21 - 47 4
Problems
Prob. # Scaled Avg.
1 7.86
2 9.13
3 7.48
4 6.61
5 6.39
6 8.48

scatter plot of grades Exam 3 has been graded. The average score was 45.45 and the median was 45. The scatter plot shows a comparison of this grade to the total of the first two exams along with a trend line. To emphasize the clustering of grades, additional lines have been drawn for totals of 220, 200, 185, 165, 150 and 135. While these show a qualitative distinction, it may not correspond to the distinction shown in the course grades. Individual grades have been entered in the FAS Gradebook. 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, since the maximum score is always 10.

Exam 3
Distribution
Range Count
68 - 76 2
57 - 64 3
47 - 51 6
38 - 43 5
28 - 35 5
20 1
Problems
Prob. # Scaled Avg.
1 7.59
2 5.32
3 7.30
4 6.41
5 5.24
6 3.66

scatter plot of grades Exam 4 has been graded. The average score was 54.565 and the median was 58. The first scatter plot shows a comparison of this grade to the total of the first three exams along with a trend line. To emphasize the clustering of grades, additional lines have been drawn for totals of 270, 245, 230, 200, and 185. While these show a qualitative distinction, it may not correspond to the distinction shown in the course grades. Individual grades have been entered in the FAS Gradebook. 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, since the maximum score is always 10.

Exam 4
Distribution
Range Count
67 - 72 4
58 - 63 9
45 - 55 7
below 45 3
Problems
Prob. # Scaled Avg.
1 5.26
2 8.91
3 8.84
4 6.64
5 8.26
6 4.46

scatter plot of gradesscatter plot of gradesThere are also plots comparing the exam scores of those taking all class exams with grades on Maple labs and recitation work. Both of these graphs contain trend lines and the plot with the labs has lines showing clusters of totals (at 335, 275, 235, and 200).


scatter plot of grades The Final Exam has been graded. The median score was 130 out of 200. A scatter plot shows a comparison of this grade to the total of all scores during the term (4 exams, 4 Maple labs, and a recitation grade) along with a trend line. The sum of these two numbers gives the number on which the course grade is based, so the lines showing totals of 600, 540, 475, 450, and 380 give the letter-grade divisions. Individual grades on the exam and course letter grades have been entered in the FAS Gradebook. The course grades have been officially submitted and will show up in your transcript shortly.


Comments on this page should be sent to: bumby@math.rutgers.edu
Last updated: May 10, 2005