   # Radio Stations Use the pairwise comparison method to determine the favorite radio sation in Exercise 20. ### 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 4.2, Problem 30ES
Textbook Problem
1 views

## Radio Stations Use the pairwise comparison method to determine the favorite radio sation in Exercise 20.

To determine

Use plurality with elimination to determine ttie students' favorîte radio station among the four.

### Explanation of Solution

Given Information:

 Rankings WNNX 3 1 1 2 4 WKLS 1 3 4 1 2 WWVV 4 2 2 3 1 WSTR 2 4 3 4 3 Number of votes: 57 72 38 61 15

Concept used:

Create a table to keep track of each of the head-to-head comparisons, first note that a matchup between, say, WNNX and WKLS is same as the matchup between WKLS and WNNX. Therefore we will shade the duplicate cell and the cell between the same stations. This is shown below.

 Versus WNNX WKLS WWVV WSTR WNNX WKLS WWVV WSTR

Calculation:

WNNX Is favored over WKLS with 72+38=110 votes.

WKLS Is favored over WNNX with 57+61+15=133 votes.

Therefore, the winner of this matchup is WKLS, so that name is place in the WNNX versus WKLS cell.

WNNX Is favored over WWVV with 57+72+38+61=228 votes.

WWVV Is favored over WNNX with 15 votes.

Therefore, the winner of this matchup is WNNX, so that name is place in the WNNX versus WWVV cell

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