The William Lowell Putnam Mathematical Competition

Statistics on the 2015 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
99 1 63 25.5 44 72.5 28 188.5 17 415 1 1678
90 2.5 62 27 43 75.5 27 191 16 416.5 0 3092
89 4 61 30.5 42 81.5 26 193 15 420.5    
82 5.5 60 35.5 41 87.5 25.9 195 14 429    
81 8 59 39.5 40 97 25.8 196.5 13 452.5    
78 11 57 42.5 39 108.5 25.7 198 12 504.5    
77 13.5 56 44.5 38 114 25.6 199 11 640.5    
74 15.5 54 46 36 116 25 200.5 10 945    
72 17 53 48.5 35 117.5 24 205.5 9 1178.5    
71 18.5 52 51.5 34 120.5 23 216 8 1222.5    
70 20 51 54.5 33 126 22 235.5 6 1236    
68 21 50 62 32 135 21 273.5 5 1238    
66 22 49 68 31 146.5 20 343.5 4 1246    
65 23 48 69.5 30 163.5 19 399 3 1277.5    
64 24 45 71 29 180.5 18 412 2 1375    

The following table shows how many of the top 199 contestants received each possible score on each problem.

  A1 A2 A3 A4 A5 A6 B1 B2 B3 B4 B5 B6 Total
10 165 109 99 52 13 4 61 62 32 70 16 0 683
9 17 8 22 21 1 3 27 10 1 10 8 0 128
8 7 3 1 4 6 1 7 3 6 3 4 3 48
7 0 0 0 0 0 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0 0
5 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0
3 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 12 13 15 22 2 41 3 18 5 7 1 142
1 0 2 6 20 4 0 32 8 6 17 8 0 103
0 5 45 23 33 26 53 10 60 81 39 30 27 432
blank 2 20 35 54 127 136 21 53 55 55 126 168 852
Transcribed to HTML by Kiran S. Kedlaya (kedlaya[at]ucsd[dot]edu).