IMO 2005 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 207 | 96 | 423 | 90 | 288 | 325 |
| Num( P# = 1 ) | 59 | 202 | 23 | 145 | 36 | 39 |
| Num( P# = 2 ) | 65 | 13 | 3 | 30 | 30 | 57 |
| Num( P# = 3 ) | 20 | 7 | 0 | 0 | 16 | 13 |
| Num( P# = 4 ) | 5 | 11 | 0 | 0 | 4 | 15 |
| Num( P# = 5 ) | 11 | 7 | 0 | 3 | 6 | 2 |
| Num( P# = 6 ) | 5 | 2 | 9 | 7 | 8 | 6 |
| Num( P# = 7 ) | 141 | 175 | 55 | 238 | 125 | 56 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 2.614 | 3.051 | 0.912 | 3.758 | 2.170 | 1.345 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 2.941 | 2.975 | 2.263 | 3.124 | 2.966 | 2.297 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.716 | 0.767 | 0.634 | 0.720 | 0.724 | 0.701 |
| Corr( P#, P1 ) | | 0.438 | 0.325 | 0.408 | 0.457 | 0.374 |
| Corr( P#, P2 ) | 0.438 | | 0.339 | 0.472 | 0.428 | 0.564 |
| Corr( P#, P3 ) | 0.325 | 0.339 | | 0.322 | 0.449 | 0.409 |
| Corr( P#, P4 ) | 0.408 | 0.472 | 0.322 | | 0.377 | 0.409 |
| Corr( P#, P5 ) | 0.457 | 0.428 | 0.449 | 0.377 | | 0.340 |
| Corr( P#, P6 ) | 0.374 | 0.564 | 0.409 | 0.409 | 0.340 | |
