The William Lowell Putnam Mathematical Competition

Statistics on the 1986 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
90	1	56	37	36	181.5	21	596
89	2	55	38.5	35	186.5	20	796.5
86	3	54	40	34	189.5	19	1125.5
82	4	53	41.5	33.9	191.5	18	1155.5
81	5.5	52	43	33.8	194	17	1228
78	7	51	45.5	33.7	195.5	16	1236.5
75	8.5	50	54	33.6	200	15	1240.5
74	10	49	63	33.5	201	14	1245
72	11	48	67.5	33	204.5	13	1263
71	12	47	73	32	222	12	1362
70	13.5	46	78	31	244	11	1511.5
68	16.5	45	81.5	30	315.5	10	1691
67	19.5	44	84.5	29	401	9	1821.5
64	21.5	43	86.5	28	439.5	8	1852.5
63	23.5	42	92	27	463.5	7	1868.5
61	25	41	101	26	473	4	1872
60	27.5	40	127	25	476	3	1882
59	30.5	39	156	23	491	1	1971
57	35	37	176	22	528.5	0	2046

This table shows how many of the top 201 contestants received each possible score on each problem.

	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	152	155	53	21	13	1	183	123	26	22	10	3	762
9	23	0	6	3	4	4	3	31	5	8	0	0	87
8	10	0	15	4	0	1	7	16	4	6	0	0	63
7	7	0	1	4	0	1	0	3	1	6	0	0	23
6	0	0	0	5	0	0	0	0	0	0	0	0	5
5	0	0	0	7	0	1	0	0	1	0	0	0	9
4	0	0	0	0	0	0	0	0	0	0	0	0	0
3	2	0	1	6	1	0	0	0	4	0	0	0	14
2	2	0	12	3	0	6	4	16	3	4	0	0	50
1	3	0	1	7	2	4	2	5	5	7	0	0	36
0	1	33	26	23	39	64	1	2	33	59	58	32	371
blank	1	13	86	118	142	119	1	5	119	89	133	166	992

Transcribed to HTML by Kiran S. Kedlaya (kedlaya[at]ucsd[dot]edu).