International Mathematical Olympiad 1998 (Taipei, Taiwan) Scores

At the 1998 IMO held in Taipei, Taiwan, 419 contestants from 76 countries competed. 37 gold medals were awarded to those scoring at least 31; 66 silver medals were awarded to those scoring from 24 to 30; and 102 bronze medals were awarded to those scoring from 14 to 23.

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 only one contestant attained). The mean individual score was 14.773, with a standard deviation of 10.689. The following table shows how many contestants attained each possible score.

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

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	3.205	2.735	1.761	3.463	2.931	0.678
Standard deviation	2.573	3.208	1.780	3.002	3.114	1.785

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		0.299	0.375	0.510	0.488	0.334
2	0.299		0.363	0.351	0.325	0.313
3	0.375	0.363		0.422	0.267	0.328
4	0.510	0.351	0.422		0.422	0.357
5	0.488	0.325	0.267	0.422		0.257
6	0.334	0.313	0.328	0.357	0.257

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	89	16	115	41	27	23	5	103
Question 2	213	19	26	6	5	4	5	141
Question 3	91	117	152	20	3	1	5	30
Question 4	125	47	14	38	20	10	23	142
Question 5	184	16	38	22	9	5	6	139
Question 6	340	29	6	10	7	1	2	24
Total	1042	244	351	137	71	44	46	579

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

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

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

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