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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 21ES

Textbook Problem

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Elementary School Teachers The following table shows the number of fifth and sixth grade teachers in a school district and the number of students in the two grades. The number of teachers for each of the grade levels was determined by using the Huntington-Hill apportionment method.

The district has decided to hire a new teacher for either the fifth or the sixth grade.

a. Use the apportionment principle to determine to which grade the new teacher should be assigned.

b. Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned. How does this result compare with the result in part a?

To determine

**(a)**

Use the apportionment principle to determine to which grade the new teacher should be assigned.

**Given Information:**

Number of teachers | Number of students | |

Fifth grade | | |

Sixth grade | | |

**Concept used:**

**Calculation:**

First find out the average constituency to calculate absolute unfairness which decide which grade the new teacher should be assigned,

Number of Teachers | Number of Students | Average Constituency | |

Fifth Grade | | | |

Sixth grade | | | |

Since, we have to calculate new average constituency consider that one teacher increases in every grade, therefore

Number of Teachers | Number of Students | Average Constituency | |

Fifth Grade | | |

To determine

**(b)**

Use the Huntington-Hill apportionment principle to determine to which grade the new teacher should be assigned. How does this result compare with the result in part a?

Mathematical Excursions (MindTap Course List)

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