IMO 2015 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 93 | 256 | 408 | 91 | 153 | 521 |
| Num( P# = 1 ) | 89 | 151 | 122 | 36 | 255 | 11 |
| Num( P# = 2 ) | 5 | 77 | 12 | 61 | 34 | 15 |
| Num( P# = 3 ) | 21 | 27 | 1 | 18 | 90 | 6 |
| Num( P# = 4 ) | 72 | 8 | 3 | 11 | 8 | 3 |
| Num( P# = 5 ) | 12 | 13 | 0 | 1 | 4 | 3 |
| Num( P# = 6 ) | 20 | 14 | 1 | 8 | 3 | 7 |
| Num( P# = 7 ) | 265 | 31 | 30 | 351 | 30 | 11 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.307 | 1.359 | 0.653 | 4.794 | 1.513 | 0.355 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.870 | 1.914 | 1.605 | 2.905 | 1.709 | 1.294 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.752 | 0.706 | 0.572 | 0.743 | 0.666 | 0.436 |
| Corr( P#, P1 ) | | 0.378 | 0.249 | 0.450 | 0.385 | 0.211 |
| Corr( P#, P2 ) | 0.378 | | 0.363 | 0.377 | 0.476 | 0.278 |
| Corr( P#, P3 ) | 0.249 | 0.363 | | 0.272 | 0.333 | 0.288 |
| Corr( P#, P4 ) | 0.450 | 0.377 | 0.272 | | 0.357 | 0.148 |
| Corr( P#, P5 ) | 0.385 | 0.476 | 0.333 | 0.357 | | 0.172 |
| Corr( P#, P6 ) | 0.211 | 0.278 | 0.288 | 0.148 | 0.172 | |
