International Mathematical Olympiad 1997 (Mar del Plata, Argentina) Scores

At the 1997 IMO held in Mar del Plata, Argentina, 460 contestants from 82 countries competed. 39 gold medals were awarded to those scoring at least 35; 70 silver medals were awarded to those scoring from 25 to 34; and 122 bronze medals were awarded to those scoring from 15 to 24.

Further statistics are shown below. Detailed tables of results by country or contestant are available:

Total scores of each country, in descending order of total score (the IMO is an individual competition, so country orderings are unofficial only).
Total scores of each country, in alphabetical order.
Individual scores, in descending order of score.
Individual scores, in order of contestant code.

The maximum individual score possible was 42 (which 4 contestants attained). The mean individual score was 16.065, with a standard deviation of 11.199. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	4
41	2
40	4
39	4
38	7
37	6
36	4
35	8
34	4
33	6
32	6
31	4
30	10
29	9
28	7
27	11
26	3
25	10
24	10
23	11
22	11
21	13
20	12
19	10
18	15
17	8
16	21
15	11
14	15
13	11
12	14
11	13
10	14
9	23
8	18
7	16
6	8
5	12
4	15
3	17
2	11
1	27
0	15

The following table shows the maximum attainable score, mean score and standard deviation of scores for each individual question.

Question number	1	2	3	4	5	6
Maximum score	7	7	7	7	7	7
Mean score	2.476	3.898	1.778	3.743	3.354	0.815
Standard deviation	2.234	3.309	2.746	2.717	2.971	1.715

The following table shows the correlation coefficients between the scores on each pair of questions. To make sense of these figures you will probably wish to look at the problems themselves (from Mathlinks) to see which are on similar or different topics.

	1	2	3	4	5	6
1		0.304	0.491	0.494	0.454	0.470
2	0.304		0.306	0.404	0.425	0.295
3	0.491	0.306		0.431	0.421	0.488
4	0.494	0.404	0.431		0.423	0.361
5	0.454	0.425	0.421	0.423		0.392
6	0.470	0.295	0.488	0.361	0.392

The following table shows the distribution of scores on each individual question with the total number of each score on any question.

	Score 0	Score 1	Score 2	Score 3	Score 4	Score 5	Score 6	Score 7
Question 1	91	143	30	23	102	15	8	48
Question 2	164	24	16	4	7	9	0	236
Question 3	269	64	5	22	4	2	6	88
Question 4	81	72	20	34	58	29	31	135
Question 5	136	51	36	31	21	19	14	152
Question 6	341	40	12	22	4	27	4	10
Total	1082	394	119	136	196	101	63	669

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 5 January 2016

Score	Number of contestants
42	4
41	2
40	4
39	4
38	7
37	6
36	4
35	8
34	4
33	6
32	6
31	4
30	10
29	9
28	7
27	11
26	3
25	10
24	10
23	11
22	11
21	13
20	12
19	10
18	15
17	8
16	21
15	11
14	15
13	11
12	14
11	13
10	14
9	23
8	18
7	16
6	8
5	12
4	15
3	17
2	11
1	27
0	15

Score	Number of contestants
42	4
41	2
40	4
39	4
38	7
37	6
36	4
35	8
34	4
33	6
32	6
31	4
30	10
29	9
28	7
27	11
26	3
25	10
24	10
23	11
22	11
21	13
20	12
19	10
18	15
17	8
16	21
15	11
14	15
13	11
12	14
11	13
10	14
9	23
8	18
7	16
6	8
5	12
4	15
3	17
2	11
1	27
0	15

Score	Number of contestants
42	4
41	2
40	4
39	4
38	7
37	6
36	4
35	8
34	4
33	6
32	6
31	4
30	10
29	9
28	7
27	11
26	3
25	10
24	10
23	11
22	11
21	13
20	12
19	10
18	15
17	8
16	21
15	11
14	15
13	11
12	14
11	13
10	14
9	23
8	18
7	16
6	8
5	12
4	15
3	17
2	11
1	27
0	15