International Mathematical Olympiad 2019 (Bath, United Kingdom) Scores

At the 2019 IMO held in Bath, United Kingdom, 621 contestants from 112 countries competed. 52 gold medals were awarded to those scoring at least 31; 94 silver medals were awarded to those scoring from 24 to 30; and 156 bronze medals were awarded to those scoring from 17 to 23.

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

The maximum individual score possible was 42 (which 6 contestants attained). The mean individual score was 15.855, with a standard deviation of 10.690. The following table shows how many contestants attained each possible score.

ScoreNumber of contestants
426
411
402
391
383
371
363
3510
3411
332
327
315
302
2910
2836
2721
2610
2511
244
2321
2246
2131
2011
1911
188
1728
1623
1519
1416
1315
1210
1116
1015
927
819
712
64
510
415
319
217
133
049

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

Question number123456
Maximum score777777
Mean score5.1792.3990.5723.7363.5670.403
Standard deviation2.7182.8431.6693.2212.9791.501

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.

123456
10.4150.2150.6030.5090.168
20.4150.3410.4910.4220.331
30.2150.3410.2520.3640.343
40.6030.4910.2520.5710.236
50.5090.4220.3640.5710.278
60.1680.3310.3430.2360.278

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

Score 0Score 1Score 2Score 3Score 4Score 5Score 6Score 7
Question 1736562414552382
Question 2251135306639298
Question 3520463659428
Question 42116347131947257
Question 51562016812573250
Question 6558257010327
Total17693542185544432011042

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 19 July 2019