The 2016 NBA MVP vote . The National Basketball Association Most Valuable Player is chosen using a modified Borda count. Each of the 131 voters (130 sportswriters from the U.S and Canada plus one aggregate vote from the fans) submits ballots ranking the top five players from 1st through 5th place. Table 1-46 shows the results of the 2016 vote. (For the first time in NBA history a single player—Stephen Curry of the Golden State Warriors—was the unanimous choice for first place.) Using the results shown in Table 1-46 , determine the point value of each place on the ballot, and (this is the most important part) explain how you came up with the numbers (no looking it up on the web please!). [As usual, assume the point values are all positive integers and that 1st place is worth more than 2nd, 2nd is worth more than 3rd, and so on down the line.] Table 1-46 Player(team) 1 st Place 2 nd Place 3 rd Place 4 th Place 5 th Place Total Points Stephen Curry (Golden State) 131 0 0 0 0 1310 Kawhi Leonard (San Antonio) 0 54 34 26 8 634 LeBron James (Cleveland) 0 40 48 34 9 631 Russell Westbrook (Oklahoma City) 0 29 37 28 14 486 Kevin Durant (Oklahoma City) 0 2 7 22 32 147 Chris Paul (Los Angeles) 0 4 3 9 37 107 Draymond Green (Golden State) 0 2 0 6 18 50 Damian Lillard (Portland) 0 0 1 4 9 26 James Harden (Houston) 0 0 1 1 1 9 Kyle Lowry (Toronto) 0 0 0 1 6
The 2016 NBA MVP vote . The National Basketball Association Most Valuable Player is chosen using a modified Borda count. Each of the 131 voters (130 sportswriters from the U.S and Canada plus one aggregate vote from the fans) submits ballots ranking the top five players from 1st through 5th place. Table 1-46 shows the results of the 2016 vote. (For the first time in NBA history a single player—Stephen Curry of the Golden State Warriors—was the unanimous choice for first place.) Using the results shown in Table 1-46 , determine the point value of each place on the ballot, and (this is the most important part) explain how you came up with the numbers (no looking it up on the web please!). [As usual, assume the point values are all positive integers and that 1st place is worth more than 2nd, 2nd is worth more than 3rd, and so on down the line.] Table 1-46 Player(team) 1 st Place 2 nd Place 3 rd Place 4 th Place 5 th Place Total Points Stephen Curry (Golden State) 131 0 0 0 0 1310 Kawhi Leonard (San Antonio) 0 54 34 26 8 634 LeBron James (Cleveland) 0 40 48 34 9 631 Russell Westbrook (Oklahoma City) 0 29 37 28 14 486 Kevin Durant (Oklahoma City) 0 2 7 22 32 147 Chris Paul (Los Angeles) 0 4 3 9 37 107 Draymond Green (Golden State) 0 2 0 6 18 50 Damian Lillard (Portland) 0 0 1 4 9 26 James Harden (Houston) 0 0 1 1 1 9 Kyle Lowry (Toronto) 0 0 0 1 6
Solution Summary: The author determines the point value of each place on the ballot using a modified Borda count. Each of the 131 voters submits ballots ranking the top five players from 1st through 5th.
The 2016 NBA MVP vote. The National Basketball Association Most Valuable Player is chosen using a modified Borda count. Each of the 131 voters (130 sportswriters from the U.S and Canada plus one aggregate vote from the fans) submits ballots ranking the top five players from 1st through 5th place. Table 1-46 shows the results of the 2016 vote. (For the first time in NBA history a single player—Stephen Curry of the Golden State Warriors—was the unanimous choice for first place.) Using the results shown in Table 1-46, determine the point value of each place on the ballot, and (this is the most important part) explain how you came up with the numbers (no looking it up on the web please!). [As usual, assume the point values are all positive integers and that 1st place is worth more than 2nd, 2nd is worth more than 3rd, and so on down the line.]
A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below.
Rankings
Raymond Lee
2
3
1
3
4
2
Suzanne Brewer
4
1
3
4
1
3
Elaine Garcia
1
2
2
2
3
4
Michael Turley
3
4
4
1
2
1
Number of votes:
12
21
17
26
18
16
Using the Borda Count method, which student should be class president?
Chapter 1 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Excursions in Modern Mathematics (9th Edition)
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