IMO 2018 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 96 | 158 | 548 | 148 | 175 | 419 |
| Num( P# = 1 ) | 54 | 85 | 7 | 13 | 184 | 108 |
| Num( P# = 2 ) | 24 | 87 | 9 | 106 | 31 | 26 |
| Num( P# = 3 ) | 15 | 66 | 14 | 18 | 7 | 11 |
| Num( P# = 4 ) | 10 | 18 | 4 | 18 | 6 | 5 |
| Num( P# = 5 ) | 7 | 16 | 1 | 15 | 8 | 2 |
| Num( P# = 6 ) | 7 | 7 | 0 | 5 | 11 | 5 |
| Num( P# = 7 ) | 381 | 157 | 11 | 271 | 172 | 18 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.934 | 2.946 | 0.278 | 3.961 | 2.695 | 0.638 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.924 | 2.754 | 1.125 | 3.015 | 2.952 | 1.457 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.733 | 0.842 | 0.429 | 0.799 | 0.807 | 0.543 |
| Corr( P#, P1 ) | | 0.565 | 0.174 | 0.464 | 0.436 | 0.249 |
| Corr( P#, P2 ) | 0.565 | | 0.303 | 0.588 | 0.607 | 0.383 |
| Corr( P#, P3 ) | 0.174 | 0.303 | | 0.219 | 0.307 | 0.334 |
| Corr( P#, P4 ) | 0.464 | 0.588 | 0.219 | | 0.570 | 0.337 |
| Corr( P#, P5 ) | 0.436 | 0.607 | 0.307 | 0.570 | | 0.369 |
| Corr( P#, P6 ) | 0.249 | 0.383 | 0.334 | 0.337 | 0.369 | |
