Mat 102-890

Quiz 3 Key

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= 4300/20 =215 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	1500	6.98	6	7	7
A&S	1800	8.37	8	9	8
Business	1000	4.65	4	5	5
Total	4300	20	18		20

c) Use the Jefferson’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	D=200	D=201	D=200.1	Jefferson D=
Education	1500	7	7	7
A&S	1800	9	8	8
Business	1000	5	4	4
Total	4300	21 too high	19 too low	19 too low

The Jefferson’s method fails! For every D>200, the lower quotas add to 19; for D<=200, they add to 21 or more.