IMO 1999 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 29 | 195 | 154 | 40 | 195 | 145 |
| Num( P# = 1 ) | 52 | 129 | 119 | 119 | 103 | 225 |
| Num( P# = 2 ) | 53 | 37 | 79 | 109 | 44 | 28 |
| Num( P# = 3 ) | 45 | 10 | 44 | 59 | 18 | 21 |
| Num( P# = 4 ) | 42 | 5 | 20 | 24 | 5 | 8 |
| Num( P# = 5 ) | 41 | 4 | 3 | 15 | 7 | 7 |
| Num( P# = 6 ) | 48 | 11 | 8 | 9 | 31 | 5 |
| Num( P# = 7 ) | 140 | 59 | 23 | 75 | 47 | 11 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.298 | 1.671 | 1.584 | 2.809 | 1.811 | 1.151 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.423 | 2.393 | 1.833 | 2.258 | 2.422 | 1.454 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.720 | 0.768 | 0.483 | 0.725 | 0.717 | 0.552 |
| Corr( P#, P1 ) | | 0.433 | 0.277 | 0.417 | 0.376 | 0.279 |
| Corr( P#, P2 ) | 0.433 | | 0.220 | 0.477 | 0.497 | 0.351 |
| Corr( P#, P3 ) | 0.277 | 0.220 | | 0.183 | 0.177 | 0.211 |
| Corr( P#, P4 ) | 0.417 | 0.477 | 0.183 | | 0.428 | 0.338 |
| Corr( P#, P5 ) | 0.376 | 0.497 | 0.177 | 0.428 | | 0.268 |
| Corr( P#, P6 ) | 0.279 | 0.351 | 0.211 | 0.338 | 0.268 | |
