I need help with the math portion of this assignment. I need to understand how the work is done so i can learn it for my final test.
1. Using the Hamilton method of apportionment, determine the number of seats each state should receive.
Please fill out the below table. Please also attach your Excel spreadsheet.
State 
Number of Seats 
1 
You fill out 
2 
You fill out 
3 
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4 
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5 
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6 
You fill out 
7 
You fill out 
8 
You fill out 
9 
You fill out 
10 
You fill out 
2. Using the numbers you just calculated from applying the Hamilton method, determine the average constituency for each state. Explain your decision making process for allocating the remaining seats.
Please fill out the below table. Please also attach your Excel spreadsheet.
State 
Average Constituency 
1 
You fill out 
2 
You fill out 
3 
You fill out 
4 
You fill out 
5 
You fill out 
6 
You fill out 
7 
You fill out 
8 
You fill out 
9 
You fill out 
10 
You fill out 
Please answer the following (required):
· What does Average Constituency mean?
· What does it measure?
· How is it calculated?
· What is the process for allocating surplus/remaining seats?
3. Calculate the absolute and relative unfairness of this apportionment.
Please answer the following:
· What two states will you be using for your calculations? Please state them here.
· What is the absolute unfairness? State your final answer here.
Please show all work.
· What is the relative unfairness? State your final answer here.
Please show all work
4. Explain how changes in state boundaries or populations could affect the balance of representation in this congress. Provide an example using the results above.
· Explain how changes in state boundaries or populations could affect the balance of representation in this congress. What can cause population increase? What can cause population decrease? What can cause state boundaries to change? How do all of these affect the balance of representation?
· Provide a numerical example like I showed in the example document. Include and show all of your work. Include your original population numbers and seat numbers, and include your modified population numbers and seat numbers. Please explain all of your work very clearly (with written text and math work).
5. How and why could an Alabama Paradox occur?
Please discuss both HOW and WHY it occurs.
HINTS:
http://www.ctl.ua.edu/math103/apportionment/paradoxs.htm
http://en.wikipedia.org/wiki/Apportionment_paradox#Alabama_paradox
6. Explain how applying the HuntingtonHill apportionment method helps to avoid an Alabama Paradox.
7. Based upon your experience in solving this problem, do you feel apportionment is the best way to achieve fair representation? Be sure to support your answer.
Hint: Note that “Apportionment” here refers to a method of dividing seats between states to achieve fair representation. And, Hamiltonian and Huntington methods are specific types of Apportionment. Here is a diagram to help illustrate:

Ways of achieving representation:


Apportionment Other types? (you will need to research these)


Hamiltonian HuntingtonHill
Method Method
of Apportionment of Apportionment
Subject  Mathematics 
Due By (Pacific Time)  10/02/2013 12:00 pm 
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