IMO 1991 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 93 | 47 | 90 | 112 | 77 | 172 |
| Num( P# = 1 ) | 27 | 34 | 14 | 34 | 42 | 29 |
| Num( P# = 2 ) | 10 | 21 | 16 | 15 | 18 | 27 |
| Num( P# = 3 ) | 3 | 27 | 111 | 18 | 14 | 16 |
| Num( P# = 4 ) | 34 | 31 | 37 | 10 | 14 | 10 |
| Num( P# = 5 ) | 8 | 6 | 16 | 15 | 6 | 5 |
| Num( P# = 6 ) | 6 | 16 | 5 | 13 | 7 | 3 |
| Num( P# = 7 ) | 131 | 130 | 23 | 95 | 134 | 50 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 3.798 | 4.221 | 2.558 | 3.128 | 3.801 | 1.808 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 3.087 | 2.770 | 2.069 | 3.028 | 3.061 | 2.597 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.720 | 0.826 | 0.695 | 0.747 | 0.737 | 0.733 |
| Corr( P#, P1 ) | | 0.532 | 0.344 | 0.385 | 0.497 | 0.364 |
| Corr( P#, P2 ) | 0.532 | | 0.547 | 0.588 | 0.530 | 0.487 |
| Corr( P#, P3 ) | 0.344 | 0.547 | | 0.477 | 0.376 | 0.521 |
| Corr( P#, P4 ) | 0.385 | 0.588 | 0.477 | | 0.360 | 0.504 |
| Corr( P#, P5 ) | 0.497 | 0.530 | 0.376 | 0.360 | | 0.454 |
| Corr( P#, P6 ) | 0.364 | 0.487 | 0.521 | 0.504 | 0.454 | |
