IMO 1985 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 32 | 60 | 153 | 61 | 113 | 57 |
| Num( P# = 1 ) | 46 | 27 | 27 | 28 | 21 | 74 |
| Num( P# = 2 ) | 11 | 8 | 8 | 46 | 20 | 19 |
| Num( P# = 3 ) | 9 | 9 | 5 | 18 | 7 | 13 |
| Num( P# = 4 ) | 4 | 3 | 1 | 16 | 7 | 9 |
| Num( P# = 5 ) | 2 | 4 | 0 | 6 | 5 | 10 |
| Num( P# = 6 ) | 2 | 6 | 3 | 2 | 1 | 4 |
| Num( P# = 7 ) | 103 | 92 | 12 | 32 | 35 | 23 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 4.086 | 3.742 | 0.785 | 2.411 | 1.847 | 2.019 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 3.027 | 3.159 | 1.813 | 2.401 | 2.624 | 2.273 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.623 | 0.723 | 0.594 | 0.659 | 0.590 | 0.751 |
| Corr( P#, P1 ) | | 0.325 | 0.166 | 0.231 | 0.327 | 0.224 |
| Corr( P#, P2 ) | 0.325 | | 0.375 | 0.331 | 0.217 | 0.483 |
| Corr( P#, P3 ) | 0.166 | 0.375 | | 0.312 | 0.150 | 0.592 |
| Corr( P#, P4 ) | 0.231 | 0.331 | 0.312 | | 0.290 | 0.516 |
| Corr( P#, P5 ) | 0.327 | 0.217 | 0.150 | 0.290 | | 0.299 |
| Corr( P#, P6 ) | 0.224 | 0.483 | 0.592 | 0.516 | 0.299 | |
