IMO 2009 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 83 | 101 | 357 | 188 | 270 | 540 |
| Num( P# = 1 ) | 56 | 106 | 127 | 79 | 42 | 2 |
| Num( P# = 2 ) | 28 | 43 | 16 | 37 | 50 | 1 |
| Num( P# = 3 ) | 20 | 51 | 5 | 23 | 33 | 10 |
| Num( P# = 4 ) | 17 | 16 | 2 | 17 | 6 | 6 |
| Num( P# = 5 ) | 16 | 15 | 5 | 69 | 4 | 2 |
| Num( P# = 6 ) | 21 | 19 | 2 | 52 | 7 | 1 |
| Num( P# = 7 ) | 324 | 214 | 51 | 100 | 153 | 3 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.804 | 3.710 | 1.019 | 2.915 | 2.474 | 0.168 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.858 | 2.903 | 2.051 | 2.791 | 2.982 | 0.851 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.728 | 0.802 | 0.690 | 0.772 | 0.842 | 0.361 |
| Corr( P#, P1 ) | | 0.488 | 0.349 | 0.417 | 0.528 | 0.148 |
| Corr( P#, P2 ) | 0.488 | | 0.445 | 0.577 | 0.571 | 0.161 |
| Corr( P#, P3 ) | 0.349 | 0.445 | | 0.400 | 0.568 | 0.350 |
| Corr( P#, P4 ) | 0.417 | 0.577 | 0.400 | | 0.557 | 0.233 |
| Corr( P#, P5 ) | 0.528 | 0.571 | 0.568 | 0.557 | | 0.265 |
| Corr( P#, P6 ) | 0.148 | 0.161 | 0.350 | 0.233 | 0.265 | |
