IMO 1968 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 9 | 2 | 13 | 17 | 17 | 10 |
| Num( P# = 1 ) | 3 | 3 | 21 | 2 | 2 | 12 |
| Num( P# = 2 ) | 4 | 1 | 7 | 10 | 1 | 3 |
| Num( P# = 3 ) | 6 | 4 | 0 | 3 | 8 | 7 |
| Num( P# = 4 ) | 7 | 2 | 2 | 1 | 3 | 0 |
| Num( P# = 5 ) | 26 | 6 | 1 | 58 | 20 | 5 |
| Num( P# = 6 ) | 36 | 14 | 9 | 0 | 2 | 1 |
| Num( P# = 7 ) | 0 | 59 | 38 | 0 | 38 | 10 |
| Num( P# = 8 ) | 0 | 0 | 0 | 0 | 0 | 43 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.429 | 6.066 | 4.044 | 3.571 | 4.593 | 5.319 |
| Max( P# ) | 6 | 7 | 7 | 5 | 7 | 8 |
| σ( P# ) | 1.951 | 1.728 | 2.972 | 2.028 | 2.652 | 3.172 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.742 | 0.607 | 0.730 | 0.627 | 0.892 | 0.746 |
| Corr( P#, P1 ) | | 0.461 | 0.518 | 0.371 | 0.645 | 0.369 |
| Corr( P#, P2 ) | 0.461 | | 0.494 | 0.246 | 0.430 | 0.235 |
| Corr( P#, P3 ) | 0.518 | 0.494 | | 0.226 | 0.552 | 0.327 |
| Corr( P#, P4 ) | 0.371 | 0.246 | 0.226 | | 0.540 | 0.447 |
| Corr( P#, P5 ) | 0.645 | 0.430 | 0.552 | 0.540 | | 0.672 |
| Corr( P#, P6 ) | 0.369 | 0.235 | 0.327 | 0.447 | 0.672 | |
