IMO 1972 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 10 | 7 | 19 | 5 | 15 | 8 |
| Num( P# = 1 ) | 3 | 0 | 2 | 5 | 3 | 4 |
| Num( P# = 2 ) | 0 | 4 | 1 | 0 | 1 | 4 |
| Num( P# = 3 ) | 1 | 3 | 1 | 0 | 1 | 2 |
| Num( P# = 4 ) | 0 | 1 | 0 | 0 | 0 | 0 |
| Num( P# = 5 ) | 19 | 5 | 0 | 2 | 2 | 2 |
| Num( P# = 6 ) | 0 | 13 | 0 | 0 | 2 | 2 |
| Num( P# = 7 ) | 0 | 0 | 10 | 21 | 9 | 0 |
| Num( P# = 8 ) | 0 | 0 | 0 | 0 | 0 | 11 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 3.061 | 3.758 | 2.333 | 4.909 | 2.818 | 3.879 |
| Max( P# ) | 5 | 6 | 7 | 7 | 7 | 8 |
| σ( P# ) | 2.322 | 2.374 | 3.140 | 2.958 | 3.099 | 3.337 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.800 | 0.833 | 0.738 | 0.758 | 0.863 | 0.830 |
| Corr( P#, P1 ) | | 0.739 | 0.425 | 0.623 | 0.616 | 0.572 |
| Corr( P#, P2 ) | 0.739 | | 0.446 | 0.756 | 0.587 | 0.593 |
| Corr( P#, P3 ) | 0.425 | 0.446 | | 0.454 | 0.617 | 0.530 |
| Corr( P#, P4 ) | 0.623 | 0.756 | 0.454 | | 0.471 | 0.419 |
| Corr( P#, P5 ) | 0.616 | 0.587 | 0.617 | 0.471 | | 0.807 |
| Corr( P#, P6 ) | 0.572 | 0.593 | 0.530 | 0.419 | 0.807 | |
