The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. Preference 1st 2nd 3rd 4th Number of Ballots 2 19 20 10 3 TLHTF LHLH|T HF T LL FT F FH What option is selected using the plurality-with-elimination method? O A. Theater O B. Housing O C. Fitness center O D. Library

The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. Preference 1st 2nd 3rd 4th Number of Ballots 2 19 20 10 3 TLHTF LHLH|T HF T LL FT F FH What option is selected using the plurality-with-elimination method? O A. Theater O B. Housing O C. Fitness center O D. Library

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. Number of Ballots Preference 12 25 4 20 11 1st T L H H T 2nd L T L F L 3rd H H F T F 4th F F T L H What option is selected using the Borda count method? A. Library B. Housing C. Fitness center D. Theater
A new college needs to pick a mascot for its basketball team. The students were asked to rank four choices in order of preference,(1 as the most preferred and 4 as the least) the results are tallied as follows: Determine which mascot would be the preferred by the students using Pair wise voting Mascot BULLDOG 3 4 4 1 4 PANTHER 2 1 2 4 3 HORNET 4 2 1 2 2 BOBCAT 1 3 3 3 1 Total Voters 18 32 17 25 40 Determine the number of times that each Mascot Had win (in numerical value) Mascot Total wins BULLDOG PANTHER HORNET BOBCAT which mascot would be the preferred by the students using Pair wise voting?Answer (in small letters) = (NOTE: candidate who receives the most overall points is the winner)
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2. A fraternity votes to choose a service project--visiting nursing homes, reading with children in elementary schools, or cleaning up a stretch of highway. Their preference rankings are as follows: Number of Voters 3 1 4 8 2 Visiting nursing homes 1 1 2 3 2 Reading with children 2 3 1 1 3 Cleaning highway 3 2 3 2 1 Is there a Condorcet winner? If there is no Condorcet winner, is there a Weak Condorcet winner? Show the work you do in deciding, including vote totals, and state your conclusion.
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