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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-April-15  20:28

Poll title:

     American Idol poll, Season 14, Top 7    

Question (number 1) title:

     Who is your favorite and second-favorite singer?    

The most preferred and most representative choice is:

    Clark Beckham

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Clark Beckham Ranking score is 77 for Clark Beckham 91 voters marked Clark Beckham as their first choice
Second-most popular Jax Cole Ranking score is 51 for Jax Cole 29 voters marked Jax Cole as their first choice
Third-most popular Joey Cook Ranking score is 37 for Joey Cook 19 voters marked Joey Cook as their first choice
Fourth-most popular Tyanna Jones Ranking score is 31 for Tyanna Jones 16 voters marked Tyanna Jones as their first choice
Fifth-most popular Nick Fradiani Ranking score is 20 for Nick Fradiani 14 voters marked Nick Fradiani as their first choice
Sixth-most popular Quentin Alexander Ranking score is 11 for Quentin Alexander 13 voters marked Quentin Alexander as their first choice
Seventh-most popular Rayvon Owen Ranking score is 0 for Rayvon Owen 3 voters marked Rayvon Owen as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice is:

Jax Cole

Third-most representative choice is:

Joey Cook

Additional levels of representation were not calculated.
(There may be too many questions, too many choices for this question, or too many votes, or no further calculations were requested.)

VoteFair representation ranking results should be used when more than one choice is to be selected. Why? When there are 100 voters, 51 of them can choose the first winner, so the other 49 voters deserve extra influence in choosing the second winner (instead of letting the 51 voters also choose the second winner). When should representation results be used? When a second candidate is elected to a second equivalent seat in a state legislature, or when an organization pursues a simultaneous second activity in addition to the most popular activity.

Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Clark Beckham
Instant runoff Clark Beckham
(Choice eliminated in the first round : Rayvon Owen)
Majority None of the choices has won a majority (more than half) the votes.

(11 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Clark Beckham

(11 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Clark Beckham
Borda count Clark Beckham
(25 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 91 49 91 voters marked Clark Beckham as their first choice
Jax Cole 29 16 29 voters marked Jax Cole as their first choice
Joey Cook 19 10 19 voters marked Joey Cook as their first choice
Tyanna Jones 16 9 16 voters marked Tyanna Jones as their first choice
Nick Fradiani 14 8 14 voters marked Nick Fradiani as their first choice
Quentin Alexander 13 7 13 voters marked Quentin Alexander as their first choice
Rayvon Owen 3 2 3 voters marked Rayvon Owen as their first choice
(11 ballots ignored in plurality counting because they rank more than one choice as the most-preferred choice.)

Notice that the choice with the most plurality votes is not necessarily the most popular. Similarly the choice with the fewest plurality votes is not necessarily the least popular.

Data and Calculation Summary
Number of votes: 196
The following tally table summarizes all the preferences of all the voters. The bold underlined numbers are the ones that apply to the winning sequence.
  
All possible pairs of choice names Number of votes with indicated preference
Prefer X over Y Equal preference Prefer Y over X
X = Clark Beckham
Y = Jax Cole		 134
134 voters prefer Clark Beckham over Jax Cole		 11
11 voters have an equal preference for Clark Beckham and Jax Cole		 51
51 voters prefer Jax Cole over Clark Beckham
X = Clark Beckham
Y = Joey Cook		 140
140 voters prefer Clark Beckham over Joey Cook		 11
11 voters have an equal preference for Clark Beckham and Joey Cook		 45
45 voters prefer Joey Cook over Clark Beckham
X = Clark Beckham
Y = Tyanna Jones		 145
145 voters prefer Clark Beckham over Tyanna Jones		 12
12 voters have an equal preference for Clark Beckham and Tyanna Jones		 39
39 voters prefer Tyanna Jones over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani		 158
158 voters prefer Clark Beckham over Nick Fradiani		 10
10 voters have an equal preference for Clark Beckham and Nick Fradiani		 28
28 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander		 153
153 voters prefer Clark Beckham over Quentin Alexander		 8
8 voters have an equal preference for Clark Beckham and Quentin Alexander		 35
35 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen		 170
170 voters prefer Clark Beckham over Rayvon Owen		 11
11 voters have an equal preference for Clark Beckham and Rayvon Owen		 15
15 voters prefer Rayvon Owen over Clark Beckham
X = Jax Cole
Y = Joey Cook		 106
106 voters prefer Jax Cole over Joey Cook		 15
15 voters have an equal preference for Jax Cole and Joey Cook		 75
75 voters prefer Joey Cook over Jax Cole
X = Jax Cole
Y = Tyanna Jones		 102
102 voters prefer Jax Cole over Tyanna Jones		 10
10 voters have an equal preference for Jax Cole and Tyanna Jones		 84
84 voters prefer Tyanna Jones over Jax Cole
X = Jax Cole
Y = Nick Fradiani		 123
123 voters prefer Jax Cole over Nick Fradiani		 10
10 voters have an equal preference for Jax Cole over Nick Fradiani		 63
63 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Quentin Alexander		 123
123 voters prefer Jax Cole over Quentin Alexander		 10
10 voters have an equal preference for Jax Cole over Quentin Alexander		 63
63 voters prefer Quentin Alexander over Jax Cole
X = Jax Cole
Y = Rayvon Owen		 145
145 voters prefer Jax Cole over Rayvon Owen		 12
12 voters have an equal preference for Jax Cole over Rayvon Owen		 39
39 voters prefer Rayvon Owen over Jax Cole
X = Joey Cook
Y = Tyanna Jones		 98
98 voters prefer Joey Cook over Tyanna Jones		 13
13 voters have an equal preference for Joey Cook and Tyanna Jones		 85
85 voters prefer Tyanna Jones over Joey Cook
X = Joey Cook
Y = Nick Fradiani		 103
103 voters prefer Joey Cook over Nick Fradiani		 12
12 voters have an equal preference for Joey Cook over Nick Fradiani		 81
81 voters prefer Nick Fradiani over Joey Cook
X = Joey Cook
Y = Quentin Alexander		 106
106 voters prefer Joey Cook over Quentin Alexander		 12
12 voters have an equal preference for Joey Cook over Quentin Alexander		 78
78 voters prefer Quentin Alexander over Joey Cook
X = Joey Cook
Y = Rayvon Owen		 128
128 voters prefer Joey Cook over Rayvon Owen		 15
15 voters have an equal preference for Joey Cook over Rayvon Owen		 53
53 voters prefer Rayvon Owen over Joey Cook
X = Tyanna Jones
Y = Nick Fradiani		 107
107 voters prefer Tyanna Jones over Nick Fradiani		 12
12 voters have an equal preference for Tyanna Jones over Nick Fradiani		 77
77 voters prefer Nick Fradiani over Tyanna Jones
X = Tyanna Jones
Y = Quentin Alexander		 108
108 voters prefer Tyanna Jones over Quentin Alexander		 13
13 voters have an equal preference for Tyanna Jones over Quentin Alexander		 75
75 voters prefer Quentin Alexander over Tyanna Jones
X = Tyanna Jones
Y = Rayvon Owen		 146
146 voters prefer Tyanna Jones over Rayvon Owen		 16
16 voters have an equal preference for Tyanna Jones over Rayvon Owen		 34
34 voters prefer Rayvon Owen over Tyanna Jones
X = Nick Fradiani
Y = Quentin Alexander		 101
101 voters prefer Nick Fradiani over Quentin Alexander		 12
12 voters have an equal preference for Nick Fradiani and Quentin Alexander		 83
83 voters prefer Quentin Alexander over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen		 138
138 voters prefer Nick Fradiani over Rayvon Owen		 15
15 voters have an equal preference for Nick Fradiani and Rayvon Owen		 43
43 voters prefer Rayvon Owen over Nick Fradiani
X = Quentin Alexander
Y = Rayvon Owen		 131
131 voters prefer Quentin Alexander over Rayvon Owen		 16
16 voters have an equal preference for Quentin Alexander and Rayvon Owen		 49
49 voters prefer Rayvon Owen over Quentin Alexander
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 2,665
Number of all possible valid sequences (without ties): 5,040
First sequence:
  1. Clark Beckham
  2. Nick Fradiani
  3. Quentin Alexander
  4. Rayvon Owen
  5. Jax Cole
  6. Joey Cook
  7. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Joey Cook
  3. Jax Cole
  4. Rayvon Owen
  5. Quentin Alexander
  6. Nick Fradiani
  7. Clark Beckham
© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Detailed ballot information
(The numbers indicate the choices
as listed in "First sequence" above,
a comma indicates the next lower preference level,
"&" joins choices at the same preference level,
and "x" precedes the vote count.)

  • 1&2&3&4&5&6&7 x5
  • 1&5&6&7,3,2&4 x1
  • 1&5&6,2&7,3,4 x1
  • 1&7,2&3&4&5&6 x1
  • 1&7,5&6,2,3&4 x1
  • 1,2,3&4&5&6&7 x1
  • 1,2,3,4,5,6,7 x1
  • 1,2,3,7,6,5,4 x1
  • 1,2,4,3,6,7,5 x1
  • 1,2,4,3,7,6,5 x2
  • 1,2,4,5,7,6,3 x1
  • 1,2,4,6,5,3,7 x1
  • 1,2,5,6,3,4,7 x2
  • 1,2,5,6,7,3,4 x1
  • 1,2,5,6,7,4,3 x1
  • 1,2,5,7,3,4,6 x1
  • 1,2,6,5,7,4,3 x1
  • 1,2,6,7,5,3,4 x2
  • 1,2,7,3,4,5,6 x1
  • 1,2,7,3,5,4,6 x1
  • 1,2,7,4,5,3,6 x1
  • 1,2,7,5,3,4,6 x1
  • 1,3,2,7,4,5,6 x1
  • 1,3,2,7,4,6,5 x1
  • 1,3,4,7,2,5,6 x1
  • 1,3,6,7,5,2,4 x1
  • 1,3,7,5,4,6,2 x1
  • 1,4&6,5,7,3,2 x1
  • 1,4,6,5,7,2,3 x1
  • 1,4,7,3,2,5,6 x1
  • 1,5,2&3&4&6&7 x1
  • 1,5,2,3,6,4,7 x2
  • 1,5,2,4,6,3,7 x1
  • 1,5,2,4,6,7,3 x1
  • 1,5,2,4,7,3,6 x1
  • 1,5,2,6,3,4,7 x1
  • 1,5,2,6,3,7,4 x1
  • 1,5,2,6,7,3,4 x1
  • 1,5,2,6,7,4,3 x1
  • 1,5,2,7,3,4,6 x2
  • 1,5,3,6,7,2,4 x1
  • 1,5,4,7,2,6,3 x1
  • 1,5,6,2,7,4,3 x1
  • 1,5,6,4,2,3,7 x1
  • 1,5,6,7,2,3,4 x1
  • 1,5,6,7,3,2,4 x1
  • 1,5,7,2,3,6,4 x1
  • 1,5,7,2,4,6,3 x1
  • 1,5,7,3,2,6,4 x2
  • 1,5,7,3,6,2,4 x1
  • [Remaining ballots not listed]

© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Software version: 2015-Apr-15

The free VoteFair ranking service is subsidized by sales of Ending The Hidden Unfairness In U.S. Elections and The Creative Problem Solver's Toolbox, which were written by Richard Fobes, the inventor of VoteFair ranking and the programmer and writer for the VoteFair site.

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