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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 25ES

Textbook Problem

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X-Men Movies Fans of the *X-Men* movies have been debating on an online forum regarding which of the films is the best. To see what the overall opinion is. visitors to the site can rank four films in order of preference. The results are shown in the preference schedule below.

Using pairwise comparison, which film is the favorite of the visitors to the site who voted?

To determine

Using pairwise comparison, which film is the favorite of the visitors to the site who voted?

**Given Information:**

Rankings | |||||

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Number of votes: | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

Create a table to keep track of each of the head-to-head comparisons. Before we begin note that a matchup between. say,

**Calculation:**

The match table is as follows:

Versus | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | ||||

â€ƒâ€ƒ | ||||

â€ƒâ€ƒ | ||||

â€ƒâ€ƒ |

Therefore, the winner of this matchup is

Therefore, the winner of this matchup is

Mathematical Excursions (MindTap Course List)

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