IMO 2025 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 60 | 198 | 418 | 70 | 266 | 569 |
| Num( P# = 1 ) | 26 | 126 | 36 | 28 | 52 | 45 |
| Num( P# = 2 ) | 58 | 19 | 25 | 52 | 19 | 6 |
| Num( P# = 3 ) | 31 | 13 | 16 | 28 | 38 | 1 |
| Num( P# = 4 ) | 14 | 5 | 12 | 25 | 23 | 1 |
| Num( P# = 5 ) | 19 | 7 | 14 | 23 | 12 | 2 |
| Num( P# = 6 ) | 54 | 9 | 7 | 62 | 5 | 0 |
| Num( P# = 7 ) | 368 | 253 | 102 | 342 | 215 | 6 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 5.216 | 3.306 | 1.600 | 5.075 | 3.002 | 0.184 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.543 | 3.189 | 2.660 | 2.591 | 3.131 | 0.813 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.774 | 0.802 | 0.701 | 0.791 | 0.832 | 0.349 |
| Corr( P#, P1 ) | | 0.496 | 0.352 | 0.697 | 0.566 | 0.152 |
| Corr( P#, P2 ) | 0.496 | | 0.469 | 0.541 | 0.577 | 0.214 |
| Corr( P#, P3 ) | 0.352 | 0.469 | | 0.388 | 0.520 | 0.316 |
| Corr( P#, P4 ) | 0.697 | 0.541 | 0.388 | | 0.546 | 0.159 |
| Corr( P#, P5 ) | 0.566 | 0.577 | 0.520 | 0.546 | | 0.259 |
| Corr( P#, P6 ) | 0.152 | 0.214 | 0.316 | 0.159 | 0.259 | |
