← IMO 1962 — Statistics
→ Per-Problem Score Distribution
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 | P7 |
|---|
| Num( P# = 0 ) | 0 | 0 | 4 | 0 | 5 | 7 | 9 |
| Num( P# = 1 ) | 1 | 1 | 0 | 1 | 0 | 1 | 3 |
| Num( P# = 2 ) | 1 | 1 | 0 | 3 | 0 | 1 | 2 |
| Num( P# = 3 ) | 0 | 3 | 1 | 0 | 0 | 0 | 0 |
| Num( P# = 4 ) | 0 | 2 | 3 | 5 | 3 | 6 | 0 |
| Num( P# = 5 ) | 1 | 3 | 0 | 8 | 1 | 1 | 1 |
| Num( P# = 6 ) | 14 | 7 | 1 | 0 | 2 | 1 | 1 |
| Num( P# = 7 ) | 0 | 0 | 2 | 0 | 6 | 0 | 0 |
| Num( P# = 8 ) | 0 | 0 | 6 | 0 | 0 | 0 | 1 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 | P7 |
|---|
| Mean( P# ) | 5.412 | 4.529 | 4.882 | 3.941 | 4.176 | 2.235 | 1.529 |
| Max( P# ) | 6 | 6 | 8 | 5 | 7 | 6 | 8 |
| σ( P# ) | 1.458 | 1.576 | 3.160 | 1.305 | 2.895 | 2.129 | 2.379 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 | P7 |
|---|
| Corr( P#, Sum ) | 0.131 | 0.496 | 0.596 | 0.641 | 0.666 | 0.772 | 0.577 |
| Corr( P#, P1 ) | | -0.095 | -0.219 | -0.173 | -0.101 | 0.272 | 0.192 |
| Corr( P#, P2 ) | -0.095 | | 0.627 | 0.130 | 0.070 | 0.086 | 0.129 |
| Corr( P#, P3 ) | -0.219 | 0.627 | | 0.298 | 0.112 | 0.039 | 0.220 |
| Corr( P#, P4 ) | -0.173 | 0.130 | 0.298 | | 0.439 | 0.640 | 0.294 |
| Corr( P#, P5 ) | -0.101 | 0.070 | 0.112 | 0.439 | | 0.785 | 0.123 |
| Corr( P#, P6 ) | 0.272 | 0.086 | 0.039 | 0.640 | 0.785 | | 0.324 |
| Corr( P#, P7 ) | 0.192 | 0.129 | 0.220 | 0.294 | 0.123 | 0.324 | |
