IMO 1967 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 2 | 10 | 16 | 4 | 7 | 5 |
| Num( P# = 1 ) | 5 | 0 | 1 | 0 | 8 | 1 |
| Num( P# = 2 ) | 3 | 2 | 3 | 4 | 1 | 3 |
| Num( P# = 3 ) | 7 | 2 | 2 | 5 | 3 | 4 |
| Num( P# = 4 ) | 4 | 2 | 2 | 2 | 3 | 1 |
| Num( P# = 5 ) | 6 | 7 | 0 | 6 | 2 | 3 |
| Num( P# = 6 ) | 10 | 1 | 1 | 16 | 0 | 5 |
| Num( P# = 7 ) | 0 | 13 | 0 | 0 | 13 | 1 |
| Num( P# = 8 ) | 0 | 0 | 12 | 0 | 0 | 14 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 3.730 | 4.054 | 3.324 | 4.243 | 3.568 | 5.054 |
| Max( P# ) | 6 | 7 | 8 | 6 | 7 | 8 |
| σ( P# ) | 1.940 | 2.837 | 3.519 | 2.032 | 2.862 | 2.940 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.653 | 0.655 | 0.768 | 0.463 | 0.684 | 0.696 |
| Corr( P#, P1 ) | | 0.287 | 0.373 | 0.263 | 0.281 | 0.552 |
| Corr( P#, P2 ) | 0.287 | | 0.296 | 0.176 | 0.399 | 0.382 |
| Corr( P#, P3 ) | 0.373 | 0.296 | | 0.159 | 0.543 | 0.445 |
| Corr( P#, P4 ) | 0.263 | 0.176 | 0.159 | | 0.260 | 0.219 |
| Corr( P#, P5 ) | 0.281 | 0.399 | 0.543 | 0.260 | | 0.134 |
| Corr( P#, P6 ) | 0.552 | 0.382 | 0.445 | 0.219 | 0.134 | |
