IMO 2013 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 118 | 229 | 438 | 82 | 235 | 481 |
| Num( P# = 1 ) | 96 | 32 | 10 | 16 | 84 | 15 |
| Num( P# = 2 ) | 9 | 65 | 15 | 14 | 33 | 6 |
| Num( P# = 3 ) | 6 | 33 | 16 | 14 | 11 | 6 |
| Num( P# = 4 ) | 14 | 22 | 0 | 2 | 0 | 2 |
| Num( P# = 5 ) | 3 | 12 | 3 | 5 | 10 | 6 |
| Num( P# = 6 ) | 5 | 16 | 4 | 9 | 19 | 4 |
| Num( P# = 7 ) | 276 | 118 | 41 | 385 | 135 | 7 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.108 | 2.526 | 0.786 | 5.442 | 2.452 | 0.296 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 3.170 | 2.836 | 2.004 | 2.733 | 2.985 | 1.165 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.792 | 0.728 | 0.521 | 0.648 | 0.820 | 0.447 |
| Corr( P#, P1 ) | | 0.501 | 0.277 | 0.429 | 0.541 | 0.229 |
| Corr( P#, P2 ) | 0.501 | | 0.158 | 0.302 | 0.532 | 0.328 |
| Corr( P#, P3 ) | 0.277 | 0.158 | | 0.218 | 0.413 | 0.208 |
| Corr( P#, P4 ) | 0.429 | 0.302 | 0.218 | | 0.388 | 0.141 |
| Corr( P#, P5 ) | 0.541 | 0.532 | 0.413 | 0.388 | | 0.336 |
| Corr( P#, P6 ) | 0.229 | 0.328 | 0.208 | 0.141 | 0.336 | |
