IMO 1987 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 75 | 54 | 125 | 75 | 59 | 126 |
| Num( P# = 1 ) | 31 | 9 | 39 | 20 | 21 | 33 |
| Num( P# = 2 ) | 15 | 7 | 5 | 21 | 7 | 12 |
| Num( P# = 3 ) | 7 | 11 | 1 | 10 | 7 | 12 |
| Num( P# = 4 ) | 3 | 7 | 0 | 1 | 8 | 8 |
| Num( P# = 5 ) | 7 | 4 | 2 | 12 | 10 | 5 |
| Num( P# = 6 ) | 1 | 4 | 6 | 7 | 6 | 4 |
| Num( P# = 7 ) | 98 | 141 | 59 | 91 | 119 | 37 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 3.464 | 4.705 | 2.156 | 3.523 | 4.249 | 1.827 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 3.163 | 3.016 | 2.993 | 3.101 | 3.087 | 2.605 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.838 | 0.662 | 0.792 | 0.788 | 0.756 | 0.737 |
| Corr( P#, P1 ) | | 0.458 | 0.603 | 0.623 | 0.603 | 0.520 |
| Corr( P#, P2 ) | 0.458 | | 0.392 | 0.362 | 0.445 | 0.365 |
| Corr( P#, P3 ) | 0.603 | 0.392 | | 0.583 | 0.473 | 0.580 |
| Corr( P#, P4 ) | 0.623 | 0.362 | 0.583 | | 0.480 | 0.545 |
| Corr( P#, P5 ) | 0.603 | 0.445 | 0.473 | 0.480 | | 0.433 |
| Corr( P#, P6 ) | 0.520 | 0.365 | 0.580 | 0.545 | 0.433 | |
