Mat 102-900                                                                   Name _____________________________

Quiz 3                                                                                                       

 

 

  1. A college has a 20-seat student parliament. The seats are apportioned to the three schools according to the number of students. The School of Education has 1500 students, A&S has 1800 and Business 1000.

 

a)      Find the standard divisor. What does this number represent?

 

SD= 4400/20 =220 students per seat

 

 

b)      Use Hamilton’s method to apportion the seats. Show your work in the table below.

 

School

Population

SQ

     LQ    

UQ

Hamilton

Education

 

1600

7.27

7

8

7

A&S

 

1800

8.18

8

9

8

Business

 

1000

4.55

4

5

5

Total

 

4400

20

19

 

20

 

 

c)      Use the Adams’s method to apportion the seats. What modified divisor did you use? (Keep track of your attempts in the extra columns of the table if you’d like.)

 

 

School

 

Population

UQ D=220

UQ

D=230

         

 

Adams

D= 230

 

Education

 

1600

8

7

 

 

7

A&S

 

1800

9

8

 

 

8

Business

 

1000

5

5

 

 

5

Total

 

4400

22

too high

20