IMO 1959 — Statistics
→Points Distribution
Per-Problem Score Distribution
Day 1 vs Day 2
r = 0.789, r² = 0.622
Scores
r = 0.925, r² = 0.856
Ranks
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Num( P# = 0 ) | 1 | 0 | 3 | 2 | 5 | 1 |
| Num( P# = 1 ) | 3 | 0 | 0 | 4 | 1 | 3 |
| Num( P# = 2 ) | 1 | 0 | 0 | 0 | 2 | 1 |
| Num( P# = 3 ) | 0 | 0 | 0 | 0 | 0 | 1 |
| Num( P# = 4 ) | 0 | 1 | 0 | 0 | 0 | 2 |
| Num( P# = 5 ) | 4 | 1 | 2 | 3 | 0 | 0 |
| Num( P# = 6 ) | 0 | 4 | 0 | 0 | 0 | 0 |
| Num( P# = 7 ) | 0 | 2 | 4 | 0 | 0 | 1 |
| Num( P# = 8 ) | 0 | 1 | 0 | 0 | 1 | 0 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Mean( P# ) | 2.778 | 6.111 | 4.222 | 2.111 | 1.444 | 2.556 |
| Max( P# ) | 5 | 8 | 7 | 5 | 8 | 7 |
| σ( P# ) | 2.043 | 1.100 | 3.083 | 2.079 | 2.455 | 2.061 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Corr( P#, Sum ) | 0.790 | 0.424 | 0.803 | 0.741 | 0.802 | 0.910 |
| Corr( P#, P1 ) | 0.060 | 0.678 | 0.686 | 0.419 | 0.584 | |
| Corr( P#, P2 ) | 0.060 | -0.007 | 0.140 | 0.599 | 0.610 | |
| Corr( P#, P3 ) | 0.678 | -0.007 | 0.464 | 0.427 | 0.733 | |
| Corr( P#, P4 ) | 0.686 | 0.140 | 0.464 | 0.535 | 0.478 | |
| Corr( P#, P5 ) | 0.419 | 0.599 | 0.427 | 0.535 | 0.764 | |
| Corr( P#, P6 ) | 0.584 | 0.610 | 0.733 | 0.478 | 0.764 |