IMO 2007 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 176 | 147 | 437 | 51 | 210 | 473 |
| Num( P# = 1 ) | 13 | 181 | 42 | 30 | 155 | 40 |
| Num( P# = 2 ) | 8 | 26 | 23 | 9 | 38 | 2 |
| Num( P# = 3 ) | 105 | 15 | 11 | 9 | 10 | 0 |
| Num( P# = 4 ) | 18 | 5 | 3 | 3 | 3 | 0 |
| Num( P# = 5 ) | 18 | 1 | 1 | 4 | 4 | 0 |
| Num( P# = 6 ) | 21 | 8 | 1 | 51 | 6 | 0 |
| Num( P# = 7 ) | 161 | 137 | 2 | 363 | 94 | 5 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 3.383 | 2.519 | 0.304 | 5.681 | 1.898 | 0.152 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.916 | 2.851 | 0.868 | 2.456 | 2.592 | 0.735 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.747 | 0.767 | 0.452 | 0.632 | 0.767 | 0.361 |
| Corr( P#, P1 ) | | 0.385 | 0.275 | 0.362 | 0.428 | 0.201 |
| Corr( P#, P2 ) | 0.385 | | 0.295 | 0.337 | 0.521 | 0.216 |
| Corr( P#, P3 ) | 0.275 | 0.295 | | 0.126 | 0.366 | 0.133 |
| Corr( P#, P4 ) | 0.362 | 0.337 | 0.126 | | 0.288 | 0.110 |
| Corr( P#, P5 ) | 0.428 | 0.521 | 0.366 | 0.288 | | 0.297 |
| Corr( P#, P6 ) | 0.201 | 0.216 | 0.133 | 0.110 | 0.297 | |
