IMO 1978 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 2 | 16 | 9 | 4 | 3 | 29 |
| Num( P# = 1 ) | 6 | 4 | 8 | 2 | 3 | 12 |
| Num( P# = 2 ) | 4 | 5 | 6 | 4 | 0 | 1 |
| Num( P# = 3 ) | 3 | 3 | 4 | 1 | 2 | 2 |
| Num( P# = 4 ) | 2 | 10 | 7 | 1 | 0 | 2 |
| Num( P# = 5 ) | 4 | 2 | 3 | 36 | 1 | 0 |
| Num( P# = 6 ) | 27 | 4 | 1 | 0 | 39 | 0 |
| Num( P# = 7 ) | 0 | 4 | 2 | 0 | 0 | 0 |
| Num( P# = 8 ) | 0 | 0 | 8 | 0 | 0 | 2 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.438 | 2.604 | 3.313 | 4.104 | 5.167 | 0.917 |
| Max( P# ) | 6 | 7 | 8 | 5 | 6 | 8 |
| σ( P# ) | 2.081 | 2.396 | 2.793 | 1.674 | 1.875 | 1.789 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.626 | 0.601 | 0.684 | 0.610 | 0.593 | 0.613 |
| Corr( P#, P1 ) | | 0.369 | 0.227 | 0.256 | 0.195 | 0.301 |
| Corr( P#, P2 ) | 0.369 | | 0.143 | 0.296 | 0.177 | 0.192 |
| Corr( P#, P3 ) | 0.227 | 0.143 | | 0.252 | 0.340 | 0.405 |
| Corr( P#, P4 ) | 0.256 | 0.296 | 0.252 | | 0.386 | 0.260 |
| Corr( P#, P5 ) | 0.195 | 0.177 | 0.340 | 0.386 | | 0.209 |
| Corr( P#, P6 ) | 0.301 | 0.192 | 0.405 | 0.260 | 0.209 | |
