Friday, March 30, 2007

Midterm II -- Summary Statistics

The results are in for the second exam, and here are some brief summary statistics:

Total Number of Exams: 43
Mean score: 81.30
Modes: 84 (3 exams) 93 (3 exams) 99 (3 exams)
Range: 100 to 39 (the full description is below)

CURVE: These statistics include a 15 point curve that I added because of a miscalculation on the test sheet.

NOTE(!!!): I again regressed the effect of attendance on overall grade for the exam. After controlling for several other factors, missing one class decreased a test score by almost 4 points, on average. Thus, if a student misses four classes, then student is likely to score an 84, holding everything else constant. Attendance matters. The 15 students (almost one-third of the class) who scored an A- or above on the exam only missed a total of 8 classes total among them!

Here is the distribution of grades:

. tab exam2

exam2 | Freq. Percent Cum.
------------+-----------------------------------
39 | 1 2.33 2.33
56 | 1 2.33 4.65
61 | 1 2.33 6.98
65 | 1 2.33 9.30
67 | 2 4.65 13.95
68 | 1 2.33 16.28
69 | 2 4.65 20.93
70 | 1 2.33 23.26
72 | 1 2.33 25.58
73 | 2 4.65 30.23
74 | 1 2.33 32.56
75 | 2 4.65 37.21
76 | 1 2.33 39.53
77 | 1 2.33 41.86
79 | 1 2.33 44.19
80 | 2 4.65 48.84
84 | 3 6.98 55.81
85 | 1 2.33 58.14
86 | 1 2.33 60.47
87 | 1 2.33 62.79
89 | 1 2.33 65.12
90 | 2 4.65 69.77
91 | 1 2.33 72.09
93 | 3 6.98 79.07
95 | 1 2.33 81.40
97 | 2 4.65 86.05
98 | 2 4.65 90.70
99 | 3 6.98 97.67
100 | 1 2.33 100.00

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