International Mathematical Olympiad 2016 (Hong Kong, Hong Kong) Scores

At the 2016 IMO held in Hong Kong, Hong Kong, 602 contestants from 109 countries competed. 44 gold medals were awarded to those scoring at least 29; 101 silver medals were awarded to those scoring from 22 to 28; and 135 bronze medals were awarded to those scoring from 16 to 21.

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 6 contestants attained). The mean individual score was 14.784, with a standard deviation of 9.529. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	6
41	1
40	0
39	0
38	1
37	0
36	3
35	5
34	2
33	4
32	0
31	12
30	6
29	4
28	18
27	5
26	10
25	16
24	20
23	23
22	9
21	23
20	15
19	22
18	18
17	29
16	28
15	31
14	43
13	13
12	11
11	21
10	9
9	20
8	14
7	26
6	12
5	12
4	8
3	14
2	24
1	29
0	35

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	5.272	2.033	0.251	4.744	1.678	0.806
Standard deviation	2.632	2.617	1.071	2.974	2.484	1.889

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		0.354	0.131	0.627	0.345	0.185
2	0.354		0.281	0.464	0.548	0.354
3	0.131	0.281		0.155	0.358	0.307
4	0.627	0.464	0.155		0.427	0.222
5	0.345	0.548	0.358	0.427		0.334
6	0.185	0.354	0.307	0.222	0.334

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	52	63	32	9	6	35	14	391
Question 2	277	65	99	30	7	8	9	107
Question 3	548	25	14	0	0	2	3	10
Question 4	132	22	26	10	26	15	24	347
Question 5	353	36	55	21	50	2	4	81
Question 6	474	31	9	39	4	4	4	37
Total	1836	242	235	109	93	66	58	973

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 14 July 2016

Score	Number of contestants
42	6
41	1
40	0
39	0
38	1
37	0
36	3
35	5
34	2
33	4
32	0
31	12
30	6
29	4
28	18
27	5
26	10
25	16
24	20
23	23
22	9
21	23
20	15
19	22
18	18
17	29
16	28
15	31
14	43
13	13
12	11
11	21
10	9
9	20
8	14
7	26
6	12
5	12
4	8
3	14
2	24
1	29
0	35

Score	Number of contestants
42	6
41	1
40	0
39	0
38	1
37	0
36	3
35	5
34	2
33	4
32	0
31	12
30	6
29	4
28	18
27	5
26	10
25	16
24	20
23	23
22	9
21	23
20	15
19	22
18	18
17	29
16	28
15	31
14	43
13	13
12	11
11	21
10	9
9	20
8	14
7	26
6	12
5	12
4	8
3	14
2	24
1	29
0	35

Score	Number of contestants
42	6
41	1
40	0
39	0
38	1
37	0
36	3
35	5
34	2
33	4
32	0
31	12
30	6
29	4
28	18
27	5
26	10
25	16
24	20
23	23
22	9
21	23
20	15
19	22
18	18
17	29
16	28
15	31
14	43
13	13
12	11
11	21
10	9
9	20
8	14
7	26
6	12
5	12
4	8
3	14
2	24
1	29
0	35