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ENCM 369 Winter 2005 Midterm Solutions, Statistics and Approximate Letter Grades

This page is maintained by Steve Norman
Last modified: Thu Mar 24 13:12:34 MST 2005

Solutions to the problems ...

Statistics ...

There were 148 papers written. Below is a histogram of scores out of 55. Each * represents one student's paper.
50-55    *********
45-49.5  ***************
40-44.5  *************************
35-39.5  **************************************
30-34.5  ***********************
25-29.5  ***************
20-24.5  ************
15-19.5  *******
10-14.5  ***
 5- 9.5  *
The top ten scores out of 55 were: 55, 55, 54.5, 54, 53, 52.5, 52, 52, 50.5, 49.5.

The average score was 35.44 / 55, or about 64.4 percent.
The sample standard deviation was 9.9 / 55.

The 75th percentile score was 42.5 / 55. (One quarter of scores were better than this.)
The median score was 36.5 / 55. (One half of scores were better than this.)
The 25th percentile score was 29.5 / 55. (One quarter of scores were better than this.)

Unofficial, approximate letter grade equivalents

These are UNOFFICIAL, and apply only to the mid-session test. I do NOT promise to use the same scale when I convert your overall course score to a letter grade.
SCORE OUT OF 55         APPROXIMATE LETTER GRADE EQUIVALENT

   44-55                  A-, A, or A+
 34.5-43.5                B-, B, or B+
   25-34                  C-, C, or C+
    0-24.5                D, D+ or F
Note that the cut-off between C- and D+ is less than 50 percent. This reflects the fact that it was hard for many students to attempt all questions on the test in 90 minutes. It should be easier to get at least 50 percent on the final exam.

Reminder: You must get at least 40 percent on the final exam to pass the course.