IMO 2006 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 61 | 176 | 365 | 18 | 303 | 471 |
| Num( P# = 1 ) | 9 | 210 | 95 | 54 | 101 | 11 |
| Num( P# = 2 ) | 14 | 0 | 4 | 59 | 8 | 3 |
| Num( P# = 3 ) | 12 | 3 | 1 | 38 | 25 | 3 |
| Num( P# = 4 ) | 10 | 15 | 1 | 6 | 6 | 0 |
| Num( P# = 5 ) | 27 | 8 | 2 | 7 | 5 | 1 |
| Num( P# = 6 ) | 7 | 8 | 2 | 68 | 2 | 1 |
| Num( P# = 7 ) | 358 | 78 | 28 | 248 | 48 | 8 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 5.614 | 1.833 | 0.659 | 4.998 | 1.183 | 0.187 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.497 | 2.500 | 1.685 | 2.480 | 2.152 | 0.988 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.676 | 0.699 | 0.547 | 0.722 | 0.694 | 0.416 |
| Corr( P#, P1 ) | | 0.300 | 0.191 | 0.491 | 0.259 | 0.105 |
| Corr( P#, P2 ) | 0.300 | | 0.259 | 0.330 | 0.400 | 0.273 |
| Corr( P#, P3 ) | 0.191 | 0.259 | | 0.243 | 0.343 | 0.262 |
| Corr( P#, P4 ) | 0.491 | 0.330 | 0.243 | | 0.357 | 0.108 |
| Corr( P#, P5 ) | 0.259 | 0.400 | 0.343 | 0.357 | | 0.330 |
| Corr( P#, P6 ) | 0.105 | 0.273 | 0.262 | 0.108 | 0.330 | |
