IMO 1981 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 5 | 1 | 6 | 1 | 2 | 2 |
| Num( P# = 1 ) | 6 | 0 | 3 | 0 | 1 | 0 |
| Num( P# = 2 ) | 0 | 5 | 3 | 1 | 0 | 1 |
| Num( P# = 3 ) | 0 | 0 | 2 | 1 | 2 | 0 |
| Num( P# = 4 ) | 1 | 1 | 0 | 3 | 0 | 1 |
| Num( P# = 5 ) | 0 | 0 | 3 | 4 | 2 | 0 |
| Num( P# = 6 ) | 3 | 2 | 2 | 4 | 5 | 3 |
| Num( P# = 7 ) | 36 | 42 | 32 | 37 | 39 | 44 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 5.490 | 6.275 | 5.216 | 6.275 | 6.275 | 6.510 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.645 | 1.761 | 2.659 | 1.470 | 1.727 | 1.551 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.794 | 0.825 | 0.715 | 0.828 | 0.646 | 0.617 |
| Corr( P#, P1 ) | | 0.607 | 0.442 | 0.551 | 0.443 | 0.307 |
| Corr( P#, P2 ) | 0.607 | | 0.360 | 0.683 | 0.652 | 0.487 |
| Corr( P#, P3 ) | 0.442 | 0.360 | | 0.627 | 0.183 | 0.354 |
| Corr( P#, P4 ) | 0.551 | 0.683 | 0.627 | | 0.418 | 0.463 |
| Corr( P#, P5 ) | 0.443 | 0.652 | 0.183 | 0.418 | | 0.321 |
| Corr( P#, P6 ) | 0.307 | 0.487 | 0.354 | 0.463 | 0.321 | |
