The William Lowell Putnam Mathematical Competition

Statistics on the 2007 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
110	1	66	23	49	64.5	33	156.5	26	269	11	971.5
97	2	64	24	48	69.5	32	167.5	25	274	10	1180
91	3	63	26.5	46	72.5	31	181	24	291.5	9	1359
90	4	62	30	45	74	30.9	189.5	23	316.5	8	1412
82	5.5	61	33.5	44	78	30.8	192	22	367	7	1433.5
81	7.5	60	36	43	84.5	30.7	194	21	431.5	6	1439
80	10	59	37.5	42	94	30.6	196.5	20	503.5	5	1448
78	12	58	39	41	103	30.5	198.5	19	571	4	1477
77	13	57	41	40	113	30.4	201	18	601	3	1534
72	14	56	43	39	126	30.3	203	17	614.5	2	1724.5
71	15.5	54	45	38	135	30.2	205	16	620.5	1	2020.5
70	17	53	49	37	139	30	221	15	629.5	0	2956
69	18	52	52.5	36	141	29	244.5	14	661
68	19.5	51	54.5	35	144.5	28	259.5	13	707.5
67	21.5	50	58.5	34	149.5	27	266	12	819

This table shows how many of the top 206 contestants received each possible score on each problem.

	A1	A2	A3	A4	A5	A6	B1	B2	B3	B4	B5	B6	Total
10	29	106	126	12	7	3	189	80	65	45	39	2	703
9	6	33	0	19	5	0	10	11	12	10	3	2	111
8	30	12	0	14	2	0	3	9	10	4	6	0	90
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	96	16	49	10	6	0	3	27	10	2	4	1	224
1	12	7	6	2	7	4	0	21	10	5	2	2	78
0	23	17	9	91	91	69	0	34	29	75	28	28	494
blank	10	15	16	58	88	130	1	24	70	65	124	171	772

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