Calculation examples - Solutions – staatsrecht.honikel.de

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Zusammenfassung:

Here you find calculation examples for the conversion of the number of votes to the number of seats.

Content:

How many seats did the different parties get?

Sainte-Laguë method

divided Party A Party B Party C
by 1 6100  1 5000  2 900  7
by 3 2033  3 1667  4 300
by 5 1220  5 1000  6 180
by 7 871  8 714  9 129
by 9 678  10 556 100

Party A gets 5 seats, party B gets 4 seats, party C gets 1 seat.

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Largest remainder method

Formula:

Party A: 10 * 6100 / 12000 = 5.08

Party B: 10 * 5000 / 12000 = 4.17

Party C: 10 *   900 / 12000 = 0.75

First party A gets 5 seats (because of the whole numbers), party B gets 4 seats and party C gets no seat. Then party C gets the one missing seat, because 75 is the highest number fraction.

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d'Hondtsche method

divided Party A Party B Party C
by 1 6100  1 5000  2 900
by 2 3050  3 2500  4 450
by 3 2033  5 1667  6 300
by 4 1525  7 1250  8 225
by 5 1220  9 1000 180
by 6 1017 10 833 150

Party A gets 6 seats, party B gets 4 seats, party C gets no seat.

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Overhang mandates

The number of seats each party get correspond with the number of secondary votes. So party A gets 134 seats. 56 of the 134 seats are for the direct mandates and 78 for the candidates of the national list.

Party B gets 15 seats. Basically party B gets 13 seats according to the secondary votes, but the number of direct mandates is higher, so the surplus seats increase the number of seats as overhang mandates. Only the direct mandates occupied these 15 seats.

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