International Mathematical Olympiad 1992 (Moscow, Russia) Scores

At the 1992 IMO held in Moscow, Russia, 322 contestants from 56 countries competed. 26 gold medals were awarded to those scoring at least 32; 55 silver medals were awarded to those scoring from 24 to 31; and 74 bronze medals were awarded to those scoring from 14 to 23.

There were also 28 contestants from 8 countries which were not officially competing.

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 16.332, with a standard deviation of 9.431. The following table shows how many contestants attained each possible score.

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

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	3.966	3.220	2.068	3.804	0.823	2.450
Standard deviation	3.016	2.304	2.689	2.641	1.864	2.208

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		0.324	0.331	0.254	0.216	0.375
2	0.324		0.407	0.246	0.199	0.335
3	0.331	0.407		0.166	0.334	0.434
4	0.254	0.246	0.166		0.158	0.192
5	0.216	0.199	0.334	0.158		0.345
6	0.375	0.335	0.434	0.192	0.345

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	110	32	11	14	14	20	18	131
Question 2	31	113	41	43	34	18	3	67
Question 3	177	55	19	17	11	7	5	59
Question 4	68	55	39	22	10	36	34	86
Question 5	252	62	3	7	0	2	2	22
Question 6	123	18	75	40	37	19	8	30
Total	761	335	188	143	106	102	70	395

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

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

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

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