International Mathematical Olympiad 1988 (Canberra, Australia) Scores

At the 1988 IMO held in Canberra, Australia, 268 contestants from 49 countries competed. 17 gold medals were awarded to those scoring at least 32; 48 silver medals were awarded to those scoring from 23 to 31; and 65 bronze medals were awarded to those scoring from 14 to 22.

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 5 contestants attained). The mean individual score was 15.194, with a standard deviation of 10.406. The following table shows how many contestants attained each possible score.

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

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	3.948	3.228	1.731	2.332	3.321	0.634
Standard deviation	2.707	2.883	2.270	2.956	2.944	1.524

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		0.332	0.351	0.486	0.414	0.294
2	0.332		0.421	0.429	0.272	0.211
3	0.351	0.421		0.359	0.235	0.386
4	0.486	0.429	0.359		0.345	0.402
5	0.414	0.272	0.235	0.345		0.213
6	0.294	0.211	0.386	0.402	0.213

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	27	56	19	24	22	14	8	98
Question 2	92	16	13	19	25	24	7	72
Question 3	75	132	13	1	3	4	9	31
Question 4	136	25	12	17	3	3	6	66
Question 5	76	35	23	10	20	11	7	86
Question 6	189	57	3	5	1	1	1	11
Total	595	321	83	76	74	57	38	364

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

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

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

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