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The Mathematics of Apportionment:...
Quiz #1

1 .       4m2q1_1.gif

The standard divisor is 



2 .       4m2q1_1.gif

The standard quota for State A is 



3 .       4m2q1_1.gif

The standard quota for State D is 



4 .       4m2q1_1.gif

Under Hamilton’s method the apportionments to each state are 



5 .       4m2q1_1.gif

Using a divisor of D = 39,540 the modified quotas (to 3 decimal places) are 



6 .       4m2q1_1.gif

Under Jefferson’s method the apportionments to each state are 



7 .       4m2q1_1.gif

Using a divisor of D = 40,300 the modified quotas (to 3 decimal places) are 



8 .       4m2q1_1.gif

Under Adams’ method the apportionments to each state are 



9 .       4m2q1_1.gif

Using a divisor of D = 40,100 the modified quotas (to 3 decimal places) are 



10 .       Which of the following apportionment methods does not violate the quota rule? 



11 .       A small country consists of four states. The population of State 1 is 44,800, the population of State 2 is 52,200, the population of State 3 is 49,200, and the population of State 4 is 53,800. The total number of seats in the legislature is 100.

The standard divisor is 



12 .       A small country consists of four states. The population of State 1 is 44,800, the population of State 2 is 52,200, the population of State 3 is 49,200, and the population of State 4 is 53,800. The total number of seats in the legislature is 100.

The standard quota for State 3 is 



13 .       A small country consists of four states. The population of State 1 is 44,800, the population of State 2 is 52,200, the population of State 3 is 49,200, and the population of State 4 is 53,800. The total number of seats in the legislature is 100.

Under Hamilton’s method the apportionments to each state are 



14 .       A small country consists of four states. The population of State 1 is 44,800, the population of State 2 is 52,200, the population of State 3 is 49,200, and the population of State 4 is 53,800. The total number of seats in the legislature is 100.

Using a divisor of D = 1950 the modified quotas (to 2 decimal places) are 



15 .       A small country consists of four states. The population of State 1 is 44,800, the population of State 2 is 52,200, the population of State 3 is 49,200, and the population of State 4 is 53,800. The total number of seats in the legislature is 100.

Under Jefferson’s method the apportionments to each state are 



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