The William Lowell Putnam Mathematical Competition

Statistics on the 2005 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
100	1	60	23	42	106.5	32.5	195	20	483	4	1406.5
98	2	59	27	41	115.5	32.4	196	19	552.5	3	1428
89	3	58	33	40	128.5	32	201	18	601	2	1538
86	4	57	38.5	39	149	31	219	17	629.5	1	1760
80	5.5	55	41	38	167	30	256	16	640	0	2717
73	7	52	43	37	175.5	29	296.5	14	649
71	8	51	47	36	179	28	324	13	662
70	9.5	50	57	35	181	27	343	12	715.5
69	12	49	70	34	183	26	355	11	819
68	14.5	48	81	33	186	25	360	10	1054.5
67	16	47	90.5	32.9	188.5	24	362.5	9	1265.5
66	17.5	45	95	32.8	190.5	23	367.5	8	1347.5
62	19	44	97.5	32.7	192.5	22	391	6	1396.5
61	20.5	43	100.5	32.6	194	21	425	5	1399.5

This table shows how many of the top 196 contestants received each possible score on each problem.

	A1	A2	A3	A4	A5	A6	B1	B2	B3	B4	B5	B6	Total
10	132	85	14	20	10	5	155	148	23	97	4	18	711
9	17	44	2	0	10	0	9	11	34	15	0	0	142
8	6	13	5	7	0	2	22	4	8	12	1	1	81
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	10	24	6	3	2	3	7	9	2	13	0	2	81
1	4	5	4	0	2	0	0	1	8	12	0	1	37
0	16	12	86	55	40	65	3	13	75	27	54	41	487
blank	11	13	79	111	132	121	0	10	46	20	137	133	813

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