IMO 2020 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 117 | 291 | 465 | 213 | 294 | 481 |
| Num( P# = 1 ) | 26 | 29 | 47 | 11 | 83 | 126 |
| Num( P# = 2 ) | 5 | 129 | 3 | 3 | 0 | 1 |
| Num( P# = 3 ) | 5 | 9 | 14 | 42 | 2 | 1 |
| Num( P# = 4 ) | 2 | 4 | 40 | 35 | 1 | 1 |
| Num( P# = 5 ) | 3 | 7 | 0 | 14 | 9 | 1 |
| Num( P# = 6 ) | 7 | 9 | 5 | 13 | 4 | 1 |
| Num( P# = 7 ) | 451 | 138 | 42 | 285 | 223 | 4 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 5.313 | 2.248 | 0.940 | 3.938 | 2.797 | 0.282 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.894 | 2.802 | 2.022 | 3.170 | 3.272 | 0.767 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.676 | 0.702 | 0.535 | 0.779 | 0.805 | 0.494 |
| Corr( P#, P1 ) | | 0.375 | 0.200 | 0.406 | 0.399 | 0.190 |
| Corr( P#, P2 ) | 0.375 | | 0.280 | 0.374 | 0.466 | 0.255 |
| Corr( P#, P3 ) | 0.200 | 0.280 | | 0.315 | 0.291 | 0.364 |
| Corr( P#, P4 ) | 0.406 | 0.374 | 0.315 | | 0.572 | 0.342 |
| Corr( P#, P5 ) | 0.399 | 0.466 | 0.291 | 0.572 | | 0.407 |
| Corr( P#, P6 ) | 0.190 | 0.255 | 0.364 | 0.342 | 0.407 | |
