General information

First some general information regarding the exam. For problems with multiple parts the points were assigned as follows:

Problem 3 - a: 3p, b: 7p.

Problem 4 - a: 1p, b: 4p, c: 5p

Problem 5 - a: 3p, b: 4p, c: 3p.

Grades have been assigned according to the following:

A: > 41

B: 37 - 41

C: 32 - 36

D: 27 - 31

E: 25 - 26

Fx: 23 - 24

F: < 23

For those of you who have received Fx, please contact Pierre. Your task for obtaining a passing grade will involve the topics on which you performed poorly on the exam (different for different individuals).

Statistics

Total number of students that took the exam:

## [1] 85

Number of students that passed:

## [1] 70

Number of students that failed (incl. “Fx”):

## [1] 15

Histogram for individual final scores:

A box plot for the score on the five problems:

Summary statistics for all students:

##      Prob 1           Prob 2           Prob 3           Prob 4      
##  Min.   : 0.000   Min.   : 0.000   Min.   : 0.000   Min.   : 0.000  
##  1st Qu.: 6.000   1st Qu.: 9.000   1st Qu.: 5.000   1st Qu.: 1.000  
##  Median : 8.000   Median : 9.000   Median : 7.000   Median : 5.000  
##  Mean   : 7.141   Mean   : 8.506   Mean   : 6.965   Mean   : 4.694  
##  3rd Qu.: 8.000   3rd Qu.:10.000   3rd Qu.: 9.000   3rd Qu.: 8.000  
##  Max.   :10.000   Max.   :10.000   Max.   :10.000   Max.   :10.000  
##      Prob 5           Sum       
##  Min.   :0.000   Min.   : 0.00  
##  1st Qu.:1.000   1st Qu.:27.00  
##  Median :4.000   Median :31.00  
##  Mean   :3.729   Mean   :31.04  
##  3rd Qu.:5.000   3rd Qu.:39.00  
##  Max.   :9.000   Max.   :46.00

Summary statistics for students who passed the exam:

##      Prob 1           Prob 2           Prob 3           Prob 4      
##  Min.   : 1.000   Min.   : 4.000   Min.   : 3.000   Min.   : 1.000  
##  1st Qu.: 7.000   1st Qu.: 9.000   1st Qu.: 6.000   1st Qu.: 2.250  
##  Median : 8.000   Median : 9.000   Median : 8.000   Median : 5.000  
##  Mean   : 7.557   Mean   : 9.286   Mean   : 7.514   Mean   : 5.443  
##  3rd Qu.: 9.000   3rd Qu.:10.000   3rd Qu.:10.000   3rd Qu.: 9.000  
##  Max.   :10.000   Max.   :10.000   Max.   :10.000   Max.   :10.000  
##      Prob 5           Sum       
##  Min.   :0.000   Min.   :26.00  
##  1st Qu.:3.000   1st Qu.:29.00  
##  Median :4.000   Median :33.00  
##  Mean   :4.314   Mean   :34.11  
##  3rd Qu.:6.000   3rd Qu.:40.00  
##  Max.   :9.000   Max.   :46.00

Summary statistics for students who failed the exam:

##      Prob 1         Prob 2           Prob 3        Prob 4        Prob 5 
##  Min.   : 0.0   Min.   : 0.000   Min.   :0.0   Min.   :0.0   Min.   :0  
##  1st Qu.: 3.0   1st Qu.: 0.000   1st Qu.:4.0   1st Qu.:0.0   1st Qu.:0  
##  Median : 6.0   Median : 8.000   Median :4.0   Median :1.0   Median :1  
##  Mean   : 5.2   Mean   : 4.867   Mean   :4.4   Mean   :1.2   Mean   :1  
##  3rd Qu.: 7.5   3rd Qu.: 9.000   3rd Qu.:5.0   3rd Qu.:1.5   3rd Qu.:1  
##  Max.   :10.0   Max.   :10.000   Max.   :7.0   Max.   :4.0   Max.   :4  
##       Sum       
##  Min.   : 0.00  
##  1st Qu.:13.00  
##  Median :19.00  
##  Mean   :16.67  
##  3rd Qu.:22.00  
##  Max.   :24.00

The grade distribution was as follows:

## A:  14.11765 %
## B:  14.11765 %
## C:  20 %
## D:  27.05882 %
## E:  7.058824 %
## Fx:  4.705882 %
## F:  12.94118 %