In: Statistics and Probability
A small country consists of seven states. there are 160 states in the legislature that need to be apportioned among the seven states and the population of each state is shown in the table.
State A B C D E F G
Population 1283 2374 2725 2155 1592 2511 2017
Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161?
Alabama paradox refers to any apportionment scenario where increasing the total number of items would decrease one of the shares.
A | B | C | D | E | F | G | Total | quotient | A | B | C | D | E | F | G |
1283 | 2374 | 2725 | 2155 | 1592 | 2511 | 2017 | 14657 | 91.60625 | 14.00559 | 25.91526 | 29.74688 | 23.5246 | 17.37873 | 27.41079 | 22.01815 |
1283 | 2374 | 2725 | 2155 | 1592 | 2511 | 2017 | 14657 | 91.03727 | 14.09313 | 26.07723 | 29.9328 | 23.67162 | 17.48734 | 27.58211 | 22.15576 |
A | B | C | D | E | F | G |
14 | 26 | 30 | 24 | 17 | 27 | 22 |
14 | 26 | 30 | 24 | 17 | 28 | 22 |
No, the Alabama paradox does not occur using Hamilton's method if the number of seats is increased from 160 to 161
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