Scoreboard and Solutions
Grade W1
 W2
 W3
 W4
 W5
Exam 1 Exam 2 Exam 3 Exam 4
 Final
90-100% 13
 		28
 		24
 		16
 		17
21
 		13
 		9
 		11
 		5
80-89% 11
 		7
 		2
 		9
 		17
9
 		6
 		7
 		10
 		8
70-79% 8
 		0
 		1
 		6
 		5
4
 		2
 		9
 		4
 		3
60-69% 0
 		0
 		0
 		1
 		5
1
 		2
 		3
 		4
 		8
<60% 0
 		0
 		0
 		0
 		3
1
 		13
 		7
 		7
 		12
Average (%) 84.4
 		92.7
 		96
 		89.7
 		82.4
91
 		72.7
 		70
 		77.8
 		69

Grade A
 		B
 C
 D
 E
Students 19
 		7
 3
 5
 4



Solutions (open in a new window, in PDF format - get Adobe Acrobat reader here)

Worksheet 1   Worksheet 2   Worksheet 4   Worksheet 5

Exam 1   Exam 2   Exam 3   Exam 4   Final Exam

Blank tests

Worksheet 1   Worksheet 2   Worksheet 4   Worksheet 5

Exam 1   Exam 2   Exam 3   Exam 4




Rolling a pair of dice 50 times

Every student was asked to roll a pair of dice 50 times and record the outcomes (worksheet 4). Here are the results of the whole class together.  You can see that with many experiments, the empirical and theoretical probabilities are quite close.

Cumulative roll results for entire class (1700 rolls)
sum on roll
 2
 		3
 		4
 		5
 		6
 		7
 		8
 		9
 		10
 		11
 		12
Total times occured
 56
 		109
 		142
 		174
 		258
 		243
 		223
 		186
 		158
 		85
 		70
Empirical probability
 0.033
 0.064
 0.084
 0.102
 0.152
 0.143
 0.131
 0.109
 0.093
 0.05
 0.041
Theoretical probability
 0.028
 0.056
 0.083
 0.111
 0.139
 0.167
 0.139
 0.111
 0.083
 0.056
 0.028
Difference
 0.005
 0.008
 0.001
 -0.009
 0.013
 -0.024
 -0.008
 -0.002
 0.01
 -0.006
 0.013




Here are some statistics coming from votes we took in class.


 Vote for how to get rid of Bullynator:

Background: All is not well in Toontown. The Bullynator showed up uninvited and is causing all sorts of trouble.  Vote by approval for the method to get rid of him, with options:
disintegrate him with a ray gun
whack him so hard that he flies out of the movie frame
let Pepe Le Pew loose on him
and wrap him in a package and ship him to Cuba
Approval method, 37 votes
votes 4
 		2
 		1
 		4
 		4
 		6
 		1
 		4
 		3
 		1
 		1
 3
 2
 		2
 Totals
Ray Gun
 x


x
 		x
 		x


x
 x
 x
 		x
 22 (wins)
Whack
x

x

x
 		x

x
 x
 		x
 20
Pepe

x

x
x
x
 		x
x
 		x
 16
Cuba


x

x
x
 		x
 		x
 x
x
 14


Vote for your favorite fruit snack:

Plurality election, 41 vote
Apple 14
Orange 16
Banana 11
Runoff election, 41 vote
Apple 21 (wins)
Orange 19
Banana 1 (invalid)




Rank movie genre in order of preference:

Preference rankings for each genre (1=favorite)
votes 12
 		8
 		7
 		8
 		1
 		3
Comedy 1
 		1
 		2
 		2
 		3
 		3
Action 2
 		3
 		1
 		3
 		1
 		2
Drama 3
 		2
 		3
 		1
 		2
 		1

From the table we get the following results, using various voting methods:

Plurality election:
Comedy: 20
Action: 8
Drama: 11		 Runoff:
Comedy: 27 (wins)
Drama: 12
Borda's method:
Comedy: 94 (wins)
Action: 70
Drama: 70
 Head-to-head comparison:
Comedy : Action,  28:11
Comedy : Drama,  27:12
Action : Drama, 20:19

Comedy is the Condercet winner



Vote what you would eat tonight:

Approval method, 32 votes
votes 1
 		1
 		2
 		4
 		1
 		2
 		5
 		2
 		2
 		5
 		1
 2
 4
 		Totals
Roast pork Parisienne
 x

x
x

x
 		x
 		x
x
 		19
Peking Duck



x

x
 		x
 		x
x
 x
 		16
Burger w/fixin's

x
 		x

x
 		x
x
 		x
 x
 x
 		25 (wins)
Vegetarian plate
x

x
 		x
 		x


x
 x
 x
 		16