   # Verify this apportionment using the Jefferson method. You will have to experiment with various modified standard divisors until you reach the given representation. See the Calculator Note on page 173. ### Mathematical Excursions (MindTap C...

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

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.1, Problem 1EE
Textbook Problem
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## Verify this apportionment using the Jefferson method. You will have to experiment with various modified standard divisors until you reach the given representation. See the Calculator Note on page 173.

To determine

Experiment with various modified standard divisor until you reach the given representation.

### Explanation of Solution

Given Information:

Calculator Note

Using lists and the iPart function (Which returns only the whole number part of a number) of a TI83/84 calculator can be helpful when trying to find a modified standard divisor.

Press STATENTER to display the list editor. If a list is present in L1 use the up arrow key to highlight L1, then press CLEARENTER. Enter the populations of each city in L1.

 L1 L2 L3  1 70202430154037205290 ------------------------------------- --------------------------- L1(6)=

Press 2nd[QUIT]. To divide each number in L1 by a modified divisor (we are using 925 in part b of this example, enter the following.

MATH32nd[L1]÷925)ST02nd[L2]ENTER

IPart(L1/925)[L1](72145)

The standard quotas are shown on the screen. The sum of these numbers is 18, the desired number of representatives.

Concept used:

Jefferson method: It is a highest average method for allocating seats.

Calculation:

Consider a modified standard divisor 34031.35 in Jefferson method therefore,

 State Population Number of Representatives Quotient Number of Representatives Connecticut 236,841 7 23684134031.35 ≈6.877 6 Delaware 55,540 1 5554034031.35 ≈1.612 1  1 Georgia 70,835 2 7083534031.35 ≈2.056 2 Maryland 278,514 8 27851434031.35 ≈8.087 8 Massachusetts 475,327 14 47532734031.35 ≈13.802 13 Kentucky 68,705 2 6870534031.35 ≈1.995 1 New Hampshire 141,822 4 14182234031.35 ≈4.118 4 Vermont 85,533 2 8553334031.35 ≈2.483 2 New York 331,591 10 33159134031.35 ≈9.628 9 New Jersey 179,570 5 17957034031.35 ≈5.214 5 Pennsylvania 432,879 13 43287934031.35 ≈12.570 12 North Carolina 353,523 10 35352334031

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