The William Lowell Putnam Mathematical Competition
Statistics on the 1985 Competition
This table indicates, for each score
achieved, the average rank of the participants receiving that score.
| Score
| Rank
| Score
| Rank
| Score
| Rank
| Score
| Rank
| Score
| Rank
| Score
| Rank
|
| 108
| 1
| 69
| 37.5
| 49
| 124.5
| 37
| 206
| 18
| 510.5
|
| 100
| 2
| 68
| 41
| 48
| 129
| 36
| 215
| 17
| 525
|
| 94
| 3.5
| 67
| 43
| 47
| 133
| 35
| 224
| 16
| 538.5
|
| 91
| 5
| 66
| 44
| 46
| 139.5
| 34
| 231.5
| 15
| 550.5
|
| 89
| 6.5
| 65
| 46
| 45
| 145
| 33
| 240.5
| 14
| 558.5
|
| 88
| 8
| 64
| 48
| 44
| 150
| 32
| 253.5
| 13
| 571
|
| 87
| 9
| 63
| 50.5
| 43
| 154
| 31
| 267.5
| 12
| 600
|
| 85
| 10
| 62
| 54
| 42
| 157.5
| 30
| 286
| 11
| 650
|
| 82
| 11
| 61
| 57
| 41
| 162
| 29
| 306.5
| 10
| 735.5
|
| 81
| 12.5
| 60
| 61
| 40
| 165.5
| 28
| 326.5
| 9
| 812
|
| 80
| 14.5
| 59
| 67
| 39
| 172.5
| 27
| 343
| 8
| 848.5
|
| 79
| 17
| 58
| 72.5
| 38
| 180
| 26
| 354
| 7
| 872
|
| 78
| 19
| 57
| 77.5
| 37.9
| 184.5
| 25
| 362.5
| 6
| 893.5
|
| 77
| 20
| 56
| 82
| 37.8
| 188
| 24
| 370
| 5
| 912.5
|
| 76
| 21.5
| 55
| 89
| 37.7
| 191
| 23
| 379.5
| 4
| 924
|
| 75
| 23.5
| 54
| 98.5
| 37.6
| 193
| 22
| 393.5
| 3
| 944
|
| 74
| 26
| 53
| 104.5
| 37.5
| 194
| 21
| 408.5
| 2
| 1009
|
| 73
| 28
| 52
| 108.5
| 37.4
| 197
| 20
| 441.5
| 1
| 1164.5
|
| 72
| 30.5
| 51
| 114.5
| 37.3
| 200
| 19
| 485
| 0
| 1674
|
| 70
| 34
| 50
| 120
| 37.2
| 201
|
Frequency Distribution of Problem Scores of the Top 201 Contestants
|
| A-1
| A-2
| A-3
| A-4
| A-5
| A-6
| B-1
| B-2
| B-3
| B-4
| B-5
| B-6
| TOTAL
|
| 10
| 125
| 29
| 100
| 72
| 44
| 8
| 112
| 3
| 95
| 115
| 14
| 5
| 5722
|
| 9
| 6
| 15
| 5
| 30
| 2
| 2
| 29
| 89
| 15
| 30
| 8
| 0
| 231
|
| 8
| 0
| 31
| 18
| 6
| 7
| 0
| 0
| 3
| 15
| 9
| 2
| 0
| 91
|
| 7
| 0
| 14
| 0
| 23
| 5
| 0
| 0
| 1
| 11
| 1
| 2
| 0
| 57
|
| 6
| 0
| 38
| 0
| 0
| 0
| 0
| 0
| 0
| 0
| 2
| 0
| 0
| 40
|
| 5
| 0
| 11
| 0
| 0
| 0
| 0
| 0
| 0
| 0
| 6
| 0
| 4
| 21
|
| 4
| 0
| 2
| 0
| 0
| 0
| 0
| 0
| 0
| 0
| 4
| 0
| 0
| 6
|
| 3
| 0
| 15
| 0
| 0
| 6
| 0
| 0
| 0
| 0
| 2
| 0
| 0
| 15
|
| 2
| 0
| 6
| 2
| 1
| 10
| 3
| 0
| 2
| 5
| 9
| 2
| 9
| 49
|
| 1
| 0
| 4
| 10
| 5
| 27
| 19
| 30
| 11
| 3
| 8
| 2
| 7
| 126
|
| 0
| 61
| 21
| 19
| 33
| 46
| 22
| 13
| 37
| 23
| 11
| 61
| 26
| 373
|
| blank
| 9
| 15
| 47
| 31
| 60
| 147
| 17
| 55
| 34
| 6
| 110
| 150
| 681
|
Transcribed to HTML by Kiran S. Kedlaya (kedlaya[at]ucsd[dot]edu).