Grade Summaries
Posted 3 Dec 2002 by herman

I've been totalling up the scores of exams and homeworks. Here are some preliminary data.

The Scores

First of all, this is not definitive. The most important factor, the project, isn't included. But you might be interested in how the figures appear so far. The table of data is:

id e1 e1 h1 h2 h3 h4 0 0261 95 83 45 50 46 48 43 1 0295 78 64 45 42 45 43 35 0 0727 76 50 50 50 48 35 32 1 1336 34 34 46 25 44 50 20 1 1875 66 72 42 47 48 40 34 1 2165 51 61 30 50 48 46 29 1 4228 48 42 50 50 45 50 25 1 4229 73 61 32 50 47 37 33 1 4404 67 41 50 42 39 47 28 1 5012 45 53 48 30 36 50 26 1 5438 73 53 50 40 50 50 32 0 6741 58 39 49 50 49 50 27 0 6803 60 66 48 50 49 50 33 0 6896 75 51 50 50 49 50 33 1 6946 60 59 46 50 44 44 31 1 7146 24 56 45 38 41 48 22 0 7513 63 73 46 47 47 50 34 0 7604 87 73 50 50 49 50 39 1 7638 56 73 43 37 37 48 32 0 8070 62 58 50 50 49 50 31 0 8333 88 76 50 50 46 50 40 1 8377 61 66 50 45 44 50 32 0 8380 73 90 48 45 50 50 40 0 8428 54 59 48 50 49 50 30 1 8764 63 69 43 38 46 41 33 0 8794 68 61 50 50 46 50 33 1 9399 29 39 29 40 37 48 19 1 9635 63 47 43 40 44 50 29 0 9992 48 69 50 45 49 50 31
The first column (0/1) indicates whether the student is a graduate or undergraduate student (I did this column from memory and could have made a mistake). After the ID column, are the two exam scores followed by the first four homework scores. The last column is obtained by
  round( (0.4 *(e1 + e2)/2) + 
         (0.15 * (h1 + h2 + h3 + h4)/4) )
So the last column gives some kind of weighted total score, using the syllabus percentages.

Now, here are the main items of interest.

  • For graduate students, the weighted scores are
    27 30 31 31 32 33 33 33 34 39 40 40 43
    
    This has a mean of around 34 and standard deviation around 5. Except for the 27 score, everything looks like A or B. Maybe the 27 has extenuating factors that need to be doublechecked.

  • For undergraduate students, the weighted scores are
    19 20 22 25 26 28 29 29 31 32 32 32 33 33 34 35
    
    The mean is around 29 and the standard deviation is about 5. A grade of B likely begins around 25 and there would be many A grades.

Project Scores Missing

Of course, the project counts for 45 percent, and there is one more homework, so the totals could change drastically.

Points and Grades

Generally, I don't like to make a difference between the grades of two students when they have close scores (close meaning they differ only by a few percent). Sometimes this is necessary if there scores are so evenly spaced that no clear break is visible.


Corrections, posted 4 Dec 2002 by herman
I corrected a misaligned exam column (4 December) and also found that a homework grade is incorrectly reported as zero (this will be fixed later).

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