IMO 1971 — Statistics
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 |
| Num( P# = 0 ) | 2 | 14 | 22 | 10 | 17 | 22 |
| Num( P# = 1 ) | 6 | 2 | 4 | 2 | 4 | 4 |
| Num( P# = 2 ) | 11 | 3 | 0 | 2 | 2 | 1 |
| Num( P# = 3 ) | 3 | 3 | 0 | 3 | 1 | 0 |
| Num( P# = 4 ) | 2 | 1 | 0 | 3 | 0 | 0 |
| Num( P# = 5 ) | 4 | 0 | 0 | 5 | 0 | 0 |
| Num( P# = 6 ) | 0 | 3 | 0 | 3 | 0 | 0 |
| Num( P# = 7 ) | 0 | 2 | 0 | 0 | 4 | 0 |
| Num( P# = 8 ) | 0 | 0 | 0 | 0 | 0 | 1 |
| Num( P# = 9 ) | 0 | 0 | 2 | 0 | 0 | 0 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 |
| Mean( P# ) | 2.321 | 1.893 | 0.786 | 2.500 | 1.393 | 0.500 |
| Max( P# ) | 5 | 7 | 9 | 6 | 7 | 8 |
| σ( P# ) | 1.441 | 2.410 | 2.305 | 2.260 | 2.410 | 1.524 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 |
| Corr( P#, Sum ) | 0.522 | 0.637 | 0.655 | 0.560 | 0.689 | 0.874 |
| Corr( P#, P1 ) | | 0.020 | 0.236 | 0.433 | 0.190 | 0.480 |
| Corr( P#, P2 ) | 0.020 | | 0.324 | 0.148 | 0.388 | 0.442 |
| Corr( P#, P3 ) | 0.236 | 0.324 | | 0.103 | 0.266 | 0.641 |
| Corr( P#, P4 ) | 0.433 | 0.148 | 0.103 | | 0.187 | 0.384 |
| Corr( P#, P5 ) | 0.190 | 0.388 | 0.266 | 0.187 | | 0.588 |
| Corr( P#, P6 ) | 0.480 | 0.442 | 0.641 | 0.384 | 0.588 | |
