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VoteFair Ranking Results calculated at
www.VoteFair.org 2006-March-9 23:57
Survey
title:
American Idol Season 5 Poll, Top 16
Question (number
1) title:
Who is your favorite female American Idol singer?
|
VoteFair
representation
Ranking |
|
First-most representative choice
is a tie among these choices: |
Katharine McPhee
Kellie Pickler |
Additional levels of representation
cannot be determined until the above tie
has been resolved, which can be done
by introducing a tie-breaking vote. | |
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 on a board of directors,
or when an organization pursues a second activity in addition to the most popular activity. | |
Data and Calculation Summary |
Number of votes:
117 |
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 =
Katharine McPhee
Y =
Kellie Pickler |
49
 |
19
 |
49
 |
X =
Katharine McPhee
Y =
Mandisa |
55
 |
26
 |
36
 |
X =
Katharine McPhee
Y =
Paris Bennett |
63
 |
27
 |
27
 |
X =
Katharine McPhee
Y =
Ayla Brown |
64
 |
30
 |
23
 |
X =
Katharine McPhee
Y =
Lisa Tucker |
68
 |
26
 |
23
 |
X =
Katharine McPhee
Y =
Melissa McGhee |
76
 |
28
 |
13
 |
X =
Katharine McPhee
Y =
Kinnik Sky |
85
 |
28
 |
4
 |
X =
Kellie Pickler
Y =
Mandisa |
60
 |
19
 |
38
 |
X =
Kellie Pickler
Y =
Paris Bennett |
64
 |
20
 |
33
 |
X =
Kellie Pickler
Y =
Ayla Brown |
69
 |
23
 |
25
 |
X =
Kellie Pickler
Y =
Lisa Tucker |
65
 |
20
 |
32
 |
X =
Kellie Pickler
Y =
Melissa McGhee |
72
 |
22
 |
23
 |
X =
Kellie Pickler
Y =
Kinnik Sky |
87
 |
21
 |
9
 |
X =
Mandisa
Y =
Paris Bennett |
53
 |
30
 |
34
 |
X =
Mandisa
Y =
Ayla Brown |
51
 |
28
 |
38
 |
X =
Mandisa
Y =
Lisa Tucker |
53
 |
29
 |
35
 |
X =
Mandisa
Y =
Melissa McGhee |
68
 |
28
 |
21
 |
X =
Mandisa
Y =
Kinnik Sky |
84
 |
27
 |
6
 |
X =
Paris Bennett
Y =
Ayla Brown |
43
 |
32
 |
42
 |
X =
Paris Bennett
Y =
Lisa Tucker |
43
 |
33
 |
41
 |
X =
Paris Bennett
Y =
Melissa McGhee |
48
 |
32
 |
37
 |
X =
Paris Bennett
Y =
Kinnik Sky |
77
 |
33
 |
7
 |
X =
Ayla Brown
Y =
Lisa Tucker |
45
 |
29
 |
43
 |
X =
Ayla Brown
Y =
Melissa McGhee |
52
 |
35
 |
30
 |
X =
Ayla Brown
Y =
Kinnik Sky |
77
 |
33
 |
7
 |
X =
Lisa Tucker
Y =
Melissa McGhee |
54
 |
28
 |
35
 |
X =
Lisa Tucker
Y =
Kinnik Sky |
82
 |
30
 |
5
 |
X =
Melissa McGhee
Y =
Kinnik Sky |
66
 |
34
 |
17
 | | |
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is:
1,773 |
Number of all possible valid sequences (without ties):
40,320 |
First sequence:
-
Ayla Brown
-
Katharine McPhee
-
Kellie Pickler
-
Kinnik Sky
-
Lisa Tucker
-
Mandisa
-
Melissa McGhee
-
Paris Bennett
|
Last sequence:
-
Paris Bennett
-
Melissa McGhee
-
Mandisa
-
Lisa Tucker
-
Kinnik Sky
-
Kellie Pickler
-
Katharine McPhee
-
Ayla Brown
|
|
©
Copyright 2006 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 x14
-
1,2,6,7,8,5,4,3 x1
-
1,2,8,5,6,4,7,3 x2
-
2&3,1&4&5&6&7&8 x1
-
2,1&3&4&5&6&7&8 x1
-
2,1&3,5&8,6,4,7 x1
-
2,1&7,8,5,3,6,4 x1
-
2,1,4,5,6,7,3,8 x1
-
2,1,5,6,7,3,8,4 x1
-
2,1,7,5,4,3,8,6 x1
-
2,3,1&4&5&6&7&8 x1
-
2,3,5,6,7,1,8,4 x1
-
2,3,6,7,1,8,5,4 x1
-
2,3,7,6,5,8,4,1 x1
-
2,3,7,6,8,5,4,1 x1
-
2,3,8,1,6,5,4,7 x1
-
2,5,1&3,6&7&8,4 x1
-
2,5,3,1,6,7,8,4 x1
-
2,5,6,7,1,3,8,4 x1
-
2,5,8,3,6,7,1,4 x1
-
2,6,1,3,5,7,8,4 x1
-
2,6,1,8,3,5,7,4 x1
-
2,6,3,8,5,1,7,4 x1
-
2,6,5,8,3,1,4,7 x1
-
2,6,7,1,8,5,3,4 x1
-
2,6,7,8,1,3,5,4 x1
-
2,6,8,3,5,1,7,4 x1
-
2,7,3,5,8,1,6,4 x1
-
2,8,6,3,5,1,7,4 x1
-
3&5&6,2,1&4&7&8 x1
-
3&5&8,1,2&6,4&7 x1
-
3&6,1,2,7,8,5,4 x1
-
3&7,5&6&8,1&2,4 x1
-
3,1&2&4&5&6&7&8 x8
-
3,1&2&5&6&8,7,4 x1
-
3,1,2,6,4,5,8,7 x1
-
3,1,2,6,8,5,4,7 x1
-
3,1,2,8,5,6,4,7 x1
-
3,1,2,8,6,5,7,4 x1
-
3,1,6,2,5,8,7,4 x1
-
3,1,7,5,8,4,6,2 x1
-
3,2,1,6,5,7,4,8 x1
-
3,2,1,6,7,4,8,5 x1
-
3,2,1,6,7,5,8,4 x1
-
3,2,1,7,5,8,6,4 x1
-
3,2,1,7,6,5,8,4 x1
-
3,2,5,6,8,1,7,4 x1
-
3,2,6,1,7,8,5,4 x2
-
3,2,6,7,1,5,8,4 x1
-
3,2,7,1,5,4,8,6 x1
-
[Remaining ballots not listed]
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©
Copyright 2006 Solutions Through Innovation at www.VoteFair.org
Software version:
2006-Feb-20
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