9. T ski he small country of Fowler. consisting of four states Kudrle. Hedges. M

Question

9. T ski he small country of Fowler. consisting of four states Kudrle. Hedges. Murra), and Kowalow s ds to apportion all of the seats in its newly created Parliament. One seat in the Parliament is 000 people from a state's population. The table below gives the standard quotas for nee proportional to 44, each of the states. State Kudrle Hedges Murray Kowalowski Standard Quota 32.4 26 7 56 2 104.7 Using the Huntington Hill Method, how many seats will be apportioned to Kudrle? Answer: 10. Based on the scenario from problem 9, what is the population of Hedges? Answer 13 3

Explanation / Answer

Huntington Hill method:

Using devider method ,

The geometric mean of quota determined as :

[n(n+1)]1/2

For Kudrle , GM = [32(32+1)]1/2 = 32.496

As 32.4 < 32.496 so , the seat for kudrle would be 32

10.

As given , one seat is proportional to 44,000 people .

The seat apportionment for Hedges = 27

The approx population = 27×44000 = 1188000

State Quota Geometric mean Round Kudrle 32.4 32.496 [32.4<32.496] = 32 Hedges 26.7 26.495 [26.7>26.495] = 27 Murrey 56.2 56.498 [56.2<56.498] = 56 Kowalowski 104.7 104.499 104.7>104.499] =105

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