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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 26ES

Textbook Problem

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House of Representatives Currently. the U.S. House of Representatives has *435* members Who have been apportioned by the Huntington-Hill apportionment method. If the number of representatives were to be increased to 436, then, according o the 2010 census figures. North Carolina would be given the new representative. How must North Carolina’s 2010 census Huntington-Hill number compare with (he 2010 census Huntington-Hill numbers for the other 49 states? Explain.

The *Webster method of apportionment* is similar to the Jefferson method except that quotas are rounded up when the decimal remainder is 0.5 or greater and quotas are rounded down when the decimal remainder is less than 0.5. This method of rounding is referred to as rounding to the nearest integer. For instance, using the Jefferson method, a quotient of 15.91 would be rounded to 15: using the Webster method, it would be rounded to 16. A quotient of 15.49 would be rounded to IS in both methods.

To use the Webster method you must still experiment to find a *modified standard divisor* for which the sum of the quotas rounded to the nearest integer equals the number of items to be apportioned. Although the Webster method is similar to the Jefferson method, the Webster method is generally more difficult to apply because the modified divisor may be less than, equal to. or more than the standard divisor.

**A** calculator can be very helpful **in testing a possible modified** standard divisor ** m** when applying the Webster method of apportionment. For instance, on a TI-83/84 calculator, first store the populations in LI. Then enter

** m** is the modified divisor. Then press the

To determine

**To compare:**

The census using Huntington-Hill number method.

**Given information:**

Currently, the U.S House of Representative has 435 members who have been apportioned by the Huntington-Hill apportionment method. If the number of representatives were to be increased to 436, then according to the 2010 census figures, North Carolina would be given the new representative.

**Calculation:**

U.S House of Representative has 435 members who have been apportioned by the Huntington-Hill apportionment method.

If the number of representatives were to be increased to 436, then according to the 2010 census figures, North Carolina would be given the new representative.

Therefore, The population of north Carolina would be decreased from 9,535,483 to 8,049,310...

Mathematical Excursions (MindTap Course List)

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