Quantitative Literacy
MATH 110 – Critical Thinking Activity #3
Suppose that four states decide to create a legislature with 100 seats.
Four-State Standard Quotas for 100 Seats
|
State |
A |
B |
C |
D |
Total
|
|
Population |
948
|
749 |
649 |
7654 |
10,000 |
|
Standard Quota |
9.48 |
7.49 |
6.49 |
76.54 |
100 |
Apply Hamilton’s Method Using This Table:
|
State |
A |
B |
C |
D |
Total
|
|
Population |
948
|
749 |
649 |
7654 |
10,000 |
|
Standard Quota |
9.48 |
7.49 |
6.49 |
76.54 |
100 |
|
Minimum Quota |
|
|
|
|
|
|
Fractional Remainder |
|
|
|
|
|
|
Final Apportionment |
|
|
|
|
|
Apply Webster’s Method Using This Table:
|
State |
A |
B |
C |
D |
Total
|
|
Population |
948
|
749 |
649 |
7654 |
10,000 |
|
Standard Quota |
9.48 |
7.49 |
6.49 |
76.54 |
100 |
|
Minimum Quota |
|
|
|
|
|
|
Modified Quota (with Divisor 99.85) |
|
|
|
|
|
|
Rounded Quota |
|
|
|
|
|
Apply the Hill-Huntington Method Using This Table:
|
State |
A |
B |
C |
D |
Total
|
|
Population |
948
|
749 |
649 |
7654 |
10,000 |
|
Standard Quota |
9.48 |
7.49 |
6.49 |
76.54 |
100 |
|
Minimum Quota |
|
|
|
|
|
|
Modified Quota (with Divisor 100.06) |
|
|
|
|
|
|
Geometric Mean |
|
|
|
|
|
|
Rounded Quota |
|
|
|
|
|
Which apportionment method (Webster or Hill-Huntington) would State C prefer? Explain.
Which apportionment method (Webster or Hill-Huntington) would State D prefer? Explain.