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Give each state one representative. Use the Huntington-Hill method with a = 1 to determine the state that receives the next representative. The Calculator Note on page 173 will help. With the populations stored in Li. enter 2nd LI x 2 ÷ 2 STO 2nd L2 ENTER . Now scroll through L2 to find the largest number.

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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

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Chapter
Section
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.1, Problem 3EE
Textbook Problem
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Give each state one representative. Use the Huntington-Hill method with a = 1 to determine the state that receives the next representative. The Calculator Note on page 173 will help. With the populations stored in Li. enter 2nd  LI  x 2 ÷ 2 STO  

2nd

L2 ENTER   . Now scroll through L2 to find the largest number.

To determine

Find the largest number by the scroll through L2.

Explanation of Solution

Given:

The population stored in L1 ,enter 2ndL1x2/2STO2ndL2ENTER

Calculation:

Given: use the Huntington-Hill method with a=1.

Use the Huntington-Hill method.

State ConnecticutDelaware Georgia Maryland Massachusetts Kentucky New Hampshire
Population 236,84155,54070,835278,514475,32768,705141,822
Number of representatives71281424
State quota236,84134437.356.955,54034437.351.670,83534437.352.05278,51434437.358.08475,32734437.3513.8475,32734437.3513.8141,82234437.354.12
n61281314
n+172391425
Geometric mean n(n+1)6.481.42.458.491.44

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Chapter 4 Solutions

Mathematical Excursions (MindTap Course List)
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Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? 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