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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-April-1  22:30

Poll title:

     American Idol poll, Season 14, Top 9    

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 76 for Clark Beckham 102 voters marked Clark Beckham as their first choice
Second-most popular Jax Cole  Ranking score is 60 for Jax Cole 35 voters marked Jax Cole as their first choice
Third-most popular Joey Cook  Ranking score is 44 for Joey Cook 21 voters marked Joey Cook as their first choice
Fourth-most popular Tyanna Jones  Ranking score is 40 for Tyanna Jones 18 voters marked Tyanna Jones as their first choice
Fifth-most popular Quentin Alexander  Ranking score is 32 for Quentin Alexander 27 voters marked Quentin Alexander as their first choice
Sixth-most popular Nick Fradiani  Ranking score is 27 for Nick Fradiani 19 voters marked Nick Fradiani as their first choice
Seventh-most popular Rayvon Owen  Ranking score is 14 for Rayvon Owen 3 voters marked Rayvon Owen as their first choice
Eighth-most popular Qaasim Middleton  Ranking score is 8 for Qaasim Middleton 3 voters marked Qaasim Middleton as their first choice
Ninth-most popular Daniel Seavey  Ranking score is 0 for Daniel Seavey 7 voters marked Daniel Seavey 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 A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes.
(The runoff steps did not involve a single choice being eliminated in the first round.)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 102 43 102 voters marked Clark Beckham as their first choice
Jax Cole 35 15 35 voters marked Jax Cole as their first choice
Quentin Alexander 27 11 27 voters marked Quentin Alexander as their first choice
Joey Cook 21 9 21 voters marked Joey Cook as their first choice
Nick Fradiani 19 8 19 voters marked Nick Fradiani as their first choice
Tyanna Jones 18 8 18 voters marked Tyanna Jones as their first choice
Daniel Seavey 7 3 7 voters marked Daniel Seavey as their first choice
Rayvon Owen 3 1 3 voters marked Rayvon Owen as their first choice
Qaasim Middleton 3 1 3 voters marked Qaasim Middleton as their first choice
(9 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: 244
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
153
153 voters prefer Clark Beckham over Jax Cole
15
15 voters have an equal preference for Clark Beckham and Jax Cole
76
76 voters prefer Jax Cole over Clark Beckham
X = Clark Beckham
Y = Joey Cook
177
177 voters prefer Clark Beckham over Joey Cook
15
15 voters have an equal preference for Clark Beckham and Joey Cook
52
52 voters prefer Joey Cook over Clark Beckham
X = Clark Beckham
Y = Tyanna Jones
177
177 voters prefer Clark Beckham over Tyanna Jones
14
14 voters have an equal preference for Clark Beckham and Tyanna Jones
53
53 voters prefer Tyanna Jones over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander
172
172 voters prefer Clark Beckham over Quentin Alexander
14
14 voters have an equal preference for Clark Beckham and Quentin Alexander
58
58 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani
182
182 voters prefer Clark Beckham over Nick Fradiani
22
22 voters have an equal preference for Clark Beckham and Nick Fradiani
40
40 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
209
209 voters prefer Clark Beckham over Rayvon Owen
22
22 voters have an equal preference for Clark Beckham and Rayvon Owen
13
13 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton
202
202 voters prefer Clark Beckham over Qaasim Middleton
18
18 voters have an equal preference for Clark Beckham and Qaasim Middleton
24
24 voters prefer Qaasim Middleton over Clark Beckham
X = Clark Beckham
Y = Daniel Seavey
211
211 voters prefer Clark Beckham over Daniel Seavey
19
19 voters have an equal preference for Clark Beckham and Daniel Seavey
14
14 voters prefer Daniel Seavey over Clark Beckham
X = Jax Cole
Y = Joey Cook
148
148 voters prefer Jax Cole over Joey Cook
24
24 voters have an equal preference for Jax Cole and Joey Cook
72
72 voters prefer Joey Cook over Jax Cole
X = Jax Cole
Y = Tyanna Jones
152
152 voters prefer Jax Cole over Tyanna Jones
18
18 voters have an equal preference for Jax Cole and Tyanna Jones
74
74 voters prefer Tyanna Jones over Jax Cole
X = Jax Cole
Y = Quentin Alexander
143
143 voters prefer Jax Cole over Quentin Alexander
16
16 voters have an equal preference for Jax Cole over Quentin Alexander
85
85 voters prefer Quentin Alexander over Jax Cole
X = Jax Cole
Y = Nick Fradiani
140
140 voters prefer Jax Cole over Nick Fradiani
21
21 voters have an equal preference for Jax Cole over Nick Fradiani
83
83 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Rayvon Owen
189
189 voters prefer Jax Cole over Rayvon Owen
24
24 voters have an equal preference for Jax Cole over Rayvon Owen
31
31 voters prefer Rayvon Owen over Jax Cole
X = Jax Cole
Y = Qaasim Middleton
196
196 voters prefer Jax Cole over Qaasim Middleton
19
19 voters have an equal preference for Jax Cole over Qaasim Middleton
29
29 voters prefer Qaasim Middleton over Jax Cole
X = Jax Cole
Y = Daniel Seavey
203
203 voters prefer Jax Cole over Daniel Seavey
18
18 voters have an equal preference for Jax Cole over Daniel Seavey
23
23 voters prefer Daniel Seavey over Jax Cole
X = Joey Cook
Y = Tyanna Jones
119
119 voters prefer Joey Cook over Tyanna Jones
21
21 voters have an equal preference for Joey Cook and Tyanna Jones
104
104 voters prefer Tyanna Jones over Joey Cook
X = Joey Cook
Y = Quentin Alexander
116
116 voters prefer Joey Cook over Quentin Alexander
23
23 voters have an equal preference for Joey Cook over Quentin Alexander
105
105 voters prefer Quentin Alexander over Joey Cook
X = Joey Cook
Y = Nick Fradiani
109
109 voters prefer Joey Cook over Nick Fradiani
25
25 voters have an equal preference for Joey Cook over Nick Fradiani
110
110 voters prefer Nick Fradiani over Joey Cook
X = Joey Cook
Y = Rayvon Owen
164
164 voters prefer Joey Cook over Rayvon Owen
28
28 voters have an equal preference for Joey Cook over Rayvon Owen
52
52 voters prefer Rayvon Owen over Joey Cook
X = Joey Cook
Y = Qaasim Middleton
166
166 voters prefer Joey Cook over Qaasim Middleton
25
25 voters have an equal preference for Joey Cook over Qaasim Middleton
53
53 voters prefer Qaasim Middleton over Joey Cook
X = Joey Cook
Y = Daniel Seavey
182
182 voters prefer Joey Cook over Daniel Seavey
24
24 voters have an equal preference for Joey Cook over Daniel Seavey
38
38 voters prefer Daniel Seavey over Joey Cook
X = Tyanna Jones
Y = Quentin Alexander
114
114 voters prefer Tyanna Jones over Quentin Alexander
23
23 voters have an equal preference for Tyanna Jones over Quentin Alexander
107
107 voters prefer Quentin Alexander over Tyanna Jones
X = Tyanna Jones
Y = Nick Fradiani
113
113 voters prefer Tyanna Jones over Nick Fradiani
19
19 voters have an equal preference for Tyanna Jones over Nick Fradiani
112
112 voters prefer Nick Fradiani over Tyanna Jones
X = Tyanna Jones
Y = Rayvon Owen
182
182 voters prefer Tyanna Jones over Rayvon Owen
22
22 voters have an equal preference for Tyanna Jones over Rayvon Owen
40
40 voters prefer Rayvon Owen over Tyanna Jones
X = Tyanna Jones
Y = Qaasim Middleton
172
172 voters prefer Tyanna Jones over Qaasim Middleton
23
23 voters have an equal preference for Tyanna Jones over Qaasim Middleton
49
49 voters prefer Qaasim Middleton over Tyanna Jones
X = Tyanna Jones
Y = Daniel Seavey
196
196 voters prefer Tyanna Jones over Daniel Seavey
17
17 voters have an equal preference for Tyanna Jones over Daniel Seavey
31
31 voters prefer Daniel Seavey over Tyanna Jones
X = Quentin Alexander
Y = Nick Fradiani
118
118 voters prefer Quentin Alexander over Nick Fradiani
23
23 voters have an equal preference for Quentin Alexander over Nick Fradiani
103
103 voters prefer Nick Fradiani over Quentin Alexander
X = Quentin Alexander
Y = Rayvon Owen
160
160 voters prefer Quentin Alexander over Rayvon Owen
28
28 voters have an equal preference for Quentin Alexander and Rayvon Owen
56
56 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Qaasim Middleton
175
175 voters prefer Quentin Alexander over Qaasim Middleton
32
32 voters have an equal preference for Quentin Alexander over Qaasim Middleton
37
37 voters prefer Qaasim Middleton over Quentin Alexander
X = Quentin Alexander
Y = Daniel Seavey
175
175 voters prefer Quentin Alexander over Daniel Seavey
25
25 voters have an equal preference for Quentin Alexander over Daniel Seavey
44
44 voters prefer Daniel Seavey over Quentin Alexander
X = Nick Fradiani
Y = Rayvon Owen
176
176 voters prefer Nick Fradiani over Rayvon Owen
32
32 voters have an equal preference for Nick Fradiani and Rayvon Owen
36
36 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Qaasim Middleton
165
165 voters prefer Nick Fradiani over Qaasim Middleton
29
29 voters have an equal preference for Nick Fradiani and Qaasim Middleton
50
50 voters prefer Qaasim Middleton over Nick Fradiani
X = Nick Fradiani
Y = Daniel Seavey
185
185 voters prefer Nick Fradiani over Daniel Seavey
30
30 voters have an equal preference for Nick Fradiani over Daniel Seavey
29
29 voters prefer Daniel Seavey over Nick Fradiani
X = Rayvon Owen
Y = Qaasim Middleton
118
118 voters prefer Rayvon Owen over Qaasim Middleton
36
36 voters have an equal preference for Rayvon Owen over Qaasim Middleton
90
90 voters prefer Qaasim Middleton over Rayvon Owen
X = Rayvon Owen
Y = Daniel Seavey
152
152 voters prefer Rayvon Owen over Daniel Seavey
37
37 voters have an equal preference for Rayvon Owen over Daniel Seavey
55
55 voters prefer Daniel Seavey over Rayvon Owen
X = Qaasim Middleton
Y = Daniel Seavey
150
150 voters prefer Qaasim Middleton over Daniel Seavey
34
34 voters have an equal preference for Qaasim Middleton over Daniel Seavey
60
60 voters prefer Daniel Seavey over Qaasim Middleton
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 5,861
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Clark Beckham
  2. Daniel Seavey
  3. Nick Fradiani
  4. Qaasim Middleton
  5. Quentin Alexander
  6. Rayvon Owen
  7. Jax Cole
  8. Joey Cook
  9. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Joey Cook
  3. Jax Cole
  4. Rayvon Owen
  5. Quentin Alexander
  6. Qaasim Middleton
  7. Nick Fradiani
  8. Daniel Seavey
  9. 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&8&9 x2
  • 1&9,2&3&4&5&6&7&8 x1
  • 1,2&3&4&5&6&7&8&9 x1
  • 1,2,3&4&5&6&7&8&9 x1
  • 1,2,3,4,5,6,7,8,9 x1
  • 1,2,3,8,7,6,5,4,9 x1
  • 1,2,6,3,7,8,9,5,4 x1
  • 1,2,7,3,4,5,8,9,6 x1
  • 1,3,2,7,8,9,6,5,4 x1
  • 1,3,2,9,8,7,6,5,4 x1
  • 1,3,5,7,8,9,6,4,2 x1
  • 1,3,6,7,8,5,9,4,2 x1
  • 1,3,6,7,8,9,2,5,4 x1
  • 1,3,6,7,8,9,5,4,2 x2
  • 1,3,7,5,8,4,6,9,2 x1
  • 1,3,7,6,2,5,4,9,8 x1
  • 1,3,7,6,4,5,2,9,8 x1
  • 1,3,7,9,2,6,8,5,4 x1
  • 1,3,7,9,6,5,8,4,2 x1
  • 1,3,7,9,8,2&4&6,5 x1
  • 1,3,8,7,9,2&4&5&6 x1
  • 1,3,8,7,9,6,5,2,4 x1
  • 1,3,9,5,6,8,7,4,2 x1
  • 1,3,9,5,8,7,6,4,2 x1
  • 1,3,9,7,2,6,8,4,5 x1
  • 1,3,9,7,4,2,8,6,5 x1
  • 1,3,9,7,6,8,5,4,2 x1
  • 1,4,3&5&7&8&9,2&6 x1
  • 1,4,8,3,5,9,7,6,2 x1
  • 1,5,2&3&4&6&7&8&9 x1
  • 1,5,3,6,4,7&9,8,2 x1
  • 1,5,3,7,8,9,6,4,2 x1
  • 1,5,3,9,7,4,8,2,6 x1
  • 1,5,7,3,4,9,8,2,6 x1
  • 1,5,7,4,8,9,6,3,2 x1
  • 1,5,7,8,9,3,6,4,2 x1
  • 1,5,7,9,4,3,6,2,8 x1
  • 1,5,7,9,8,6,4,3,2 x1
  • 1,5,8,7,3,9,6,4,2 x1
  • 1,5,9,2&3&4&6&7&8 x1
  • 1,5,9,4,6,3,8,7,2 x1
  • 1,5,9,7,3,2,8,6,4 x1
  • 1,6,3,8,5,7,4,9,2 x1
  • 1,6,5,3,7,9,8,4,2 x1
  • 1,6,8,3,2,7,9,5,4 x1
  • 1,7,2&3&4&5&6&8&9 x3
  • 1,7,2,6,3,9,4,5,8 x1
  • 1,7,3,5,8,6,9,4,2 x1
  • 1,7,3,6,8,5,4,9,2 x1
  • 1,7,3,8,4,5,9,6,2 x1
  • [Remaining ballots not listed]

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

Software version: 2015-Apr-1

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