IMO 1975 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 3 | 29 | 31 | 37 | 49 | 31 |
| Num( P# = 1 ) | 12 | 13 | 14 | 5 | 12 | 19 |
| Num( P# = 2 ) | 9 | 9 | 4 | 5 | 9 | 27 |
| Num( P# = 3 ) | 5 | 5 | 7 | 11 | 4 | 13 |
| Num( P# = 4 ) | 11 | 4 | 4 | 6 | 1 | 8 |
| Num( P# = 5 ) | 12 | 2 | 7 | 9 | 4 | 5 |
| Num( P# = 6 ) | 76 | 1 | 3 | 55 | 49 | 5 |
| Num( P# = 7 ) | 0 | 65 | 58 | 0 | 0 | 1 |
| Num( P# = 8 ) | 0 | 0 | 0 | 0 | 0 | 19 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.727 | 4.164 | 4.047 | 3.492 | 2.813 | 2.797 |
| Max( P# ) | 6 | 7 | 7 | 6 | 6 | 8 |
| σ( P# ) | 1.865 | 3.074 | 3.044 | 2.598 | 2.726 | 2.711 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.703 | 0.711 | 0.673 | 0.561 | 0.659 | 0.747 |
| Corr( P#, P1 ) | | 0.493 | 0.368 | 0.326 | 0.349 | 0.485 |
| Corr( P#, P2 ) | 0.493 | | 0.318 | 0.233 | 0.376 | 0.408 |
| Corr( P#, P3 ) | 0.368 | 0.318 | | 0.252 | 0.308 | 0.401 |
| Corr( P#, P4 ) | 0.326 | 0.233 | 0.252 | | 0.191 | 0.317 |
| Corr( P#, P5 ) | 0.349 | 0.376 | 0.308 | 0.191 | | 0.429 |
| Corr( P#, P6 ) | 0.485 | 0.408 | 0.401 | 0.317 | 0.429 | |
