
VoteFair Ranking Results calculated at
www.VoteFair.org 2015April8 17:49
Poll
title:
American Idol poll, Season 14, Top 8
Question (number
1) title:
Who is your favorite and secondfavorite singer? 
VoteFair
representation
Ranking 

Firstmost representative choice is: 
Clark Beckham 
Secondmost representative choice is: 
Jax Cole 
Thirdmost 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. 

Data and Calculation Summary 
Number of votes:
170 
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 
108

8

54

X
=
Clark Beckham
Y
=
Joey Cook 
113

8

49

X
=
Clark Beckham
Y
=
Tyanna Jones 
134

7

29

X
=
Clark Beckham
Y
=
Nick Fradiani 
138

5

27

X
=
Clark Beckham
Y
=
Quentin Alexander 
125

10

35

X
=
Clark Beckham
Y
=
Rayvon Owen 
144

8

18

X
=
Clark Beckham
Y
=
Qaasim Middleton 
149

8

13

X
=
Jax Cole
Y
=
Joey Cook 
84

12

74

X
=
Jax Cole
Y
=
Tyanna Jones 
113

11

46

X
=
Jax Cole
Y
=
Nick Fradiani 
113

8

49

X
=
Jax Cole
Y
=
Quentin Alexander 
112

7

51

X
=
Jax Cole
Y
=
Rayvon Owen 
133

10

27

X
=
Jax Cole
Y
=
Qaasim Middleton 
145

9

16

X
=
Joey Cook
Y
=
Tyanna Jones 
101

13

56

X
=
Joey Cook
Y
=
Nick Fradiani 
96

10

64

X
=
Joey Cook
Y
=
Quentin Alexander 
107

11

52

X
=
Joey Cook
Y
=
Rayvon Owen 
120

14

36

X
=
Joey Cook
Y
=
Qaasim Middleton 
137

13

20

X
=
Tyanna Jones
Y
=
Nick Fradiani 
90

10

70

X
=
Tyanna Jones
Y
=
Quentin Alexander 
88

10

72

X
=
Tyanna Jones
Y
=
Rayvon Owen 
110

13

47

X
=
Tyanna Jones
Y
=
Qaasim Middleton 
140

12

18

X
=
Nick Fradiani
Y
=
Quentin Alexander 
83

8

79

X
=
Nick Fradiani
Y
=
Rayvon Owen 
112

13

45

X
=
Nick Fradiani
Y
=
Qaasim Middleton 
136

11

23

X
=
Quentin Alexander
Y
=
Rayvon Owen 
108

12

50

X
=
Quentin Alexander
Y
=
Qaasim Middleton 
130

12

28

X
=
Rayvon Owen
Y
=
Qaasim Middleton 
115

14

41



The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is:
3,284 
Number of all possible valid sequences (without ties):
40,320 
First sequence:

Clark Beckham

Nick Fradiani

Qaasim Middleton

Quentin Alexander

Rayvon Owen

Jax Cole

Joey Cook

Tyanna Jones

Last sequence:

Tyanna Jones

Joey Cook

Jax Cole

Rayvon Owen

Quentin Alexander

Qaasim Middleton

Nick Fradiani

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 x4

1&4,2&3&5&6&7&8 x2

1&6,3&4&7&8,2,5 x1

1,2,3,4,5,6,7,8 x2

1,2,5,6,7,8,3,4 x1

1,2,5,6,8,4,7,3 x1

1,2,5,7,6,8,4,3 x1

1,2,6,4,5,7,8,3 x1

1,2,6,4,7,5,8,3 x1

1,2,6,7,4,8,5,3 x1

1,2,6,7,8,5,4,3 x1

1,2,6,8,7,4,5,3 x1

1,2,7,4,6,5,8,3 x1

1,2,7,6,8,5,4,3 x1

1,2,8,4,5,3,7,6 x1

1,2,8,6,5,4,3,7 x1

1,2,8,7,6,5,4,3 x1

1,3,5,4,2,6,7,8 x1

1,4,2&3&5&6&7&8 x1

1,4,2,6,5,8,7,3 x1

1,4,2,7,6,8,5,3 x1

1,4,6,7,8,5,2,3 x1

1,4,7,6,2,8,5,3 x1

1,4,7,6,8,2,5,3 x1

1,5,6,2,4,8,7,3 x1

1,5,7,2,4,6,8,3 x1

1,6,2&3&4&5&7&8 x1

1,6,2,4,5,7,8,3 x1

1,6,2,4,7,3,8,5 x1

1,6,2,5,8,4,3,7 x1

1,6,2,5,8,7,4,3 x1

1,6,2,7,4,5,8,3 x1

1,6,4,7,2,8,5,3 x1

1,6,5,2,4,7,3,8 x1

1,6,7,2,4,5,8,3 x2

1,6,7,2,4,8,5,3 x1

1,6,7,2,5,8,4,3 x1

1,6,7,4,5,2,8,3 x1

1,6,7,5,8,3,4,2 x1

1,6,7,8,2,5,4,3 x1

1,6,7,8,4,2,5,3 x1

1,6,7,8,4,3,2,5 x1

1,6,7,8,5,4,3,2 x1

1,6,8,2,3&4&5&7 x1

1,6,8,4,2,7,5,3 x1

1,6,8,7,2,4,5,3 x1

1,7,2&3&4&5&6&8 x1

1,7,2,3,6,5,8,4 x1

1,7,2,8,4,6,5,3 x1

1,7,6,2,4,8,5,3 x1

[Remaining ballots not listed]

©
Copyright 2009 Solutions Through Innovation at www.VoteFair.org
Software version:
2015Apr8
