Refer to the following preference schedule to answer parts (a) – (i).  a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________ Show work to support the selection process.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 1CGP
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Refer to the following preference schedule to answer parts (a) – (i). 

a. How many votes were cast? _________

b. How many votes are needed to receive a majority? ________

c. Find the plurality winner: _________
Show work to support the selection process.

d. Did the plurality winner also receive a majority? _________.

e. Find the winner by a single runoff of the top two candidates: ________
Show work to support the selection process below.

f. Find the winner by a sequential runoff: ________
Show work to support the selection process.

g. Find the winner by a Borda count: ________
Show work to support the selection process.

h. Find the winner, if any, by the method of pairwise comparisons: ________
Show work to support the selection process

i. From the results of (a)-(h) is there a clear winner? Explain. 

2. Refer to the following preference schedule to answer parts (a) - (i).
First
C
B
C
Second
D
B
Third
B
D
Fourth
A
A
Number of Voters
18
c.
A
B
D
12
a. How many votes were cast?
b. How many votes are needed to receive a majority?
Find the plurality winner:
Show work to support the selection process.
A
C
11
d. Did the plurality winner also receive a majority?
e.
Find the winner by a single runoff of the top two candidates:
Show work to support the selection process below.
00
8
D
A
B
C
6
Transcribed Image Text:2. Refer to the following preference schedule to answer parts (a) - (i). First C B C Second D B Third B D Fourth A A Number of Voters 18 c. A B D 12 a. How many votes were cast? b. How many votes are needed to receive a majority? Find the plurality winner: Show work to support the selection process. A C 11 d. Did the plurality winner also receive a majority? e. Find the winner by a single runoff of the top two candidates: Show work to support the selection process below. 00 8 D A B C 6
f. Find the winner by a sequential runoff:
Show work to support the selection process.
g. Find the winner by a Borda count:
Show work to support the selection process.
h. Find the winner, if any, by the method of pairwise comparisons:
Show work to support the selection process
Transcribed Image Text:f. Find the winner by a sequential runoff: Show work to support the selection process. g. Find the winner by a Borda count: Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: Show work to support the selection process
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