Points Distribution
Per-Problem Score Distribution
Day 1 vs Day 2
r = 0.669, r² = 0.448
Scores
r = 0.618, r² = 0.381
Ranks
Score Distribution
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Num( P# = 0 ) | 118 | 50 | 335 | 85 | 257 | 335 |
| Num( P# = 1 ) | 11 | 213 | 60 | 78 | 82 | 5 |
| Num( P# = 2 ) | 44 | 41 | 29 | 62 | 16 | 51 |
| Num( P# = 3 ) | 37 | 13 | 13 | 49 | 12 | 15 |
| Num( P# = 4 ) | 22 | 6 | 6 | 28 | 14 | 11 |
| Num( P# = 5 ) | 4 | 18 | 2 | 29 | 1 | 9 |
| Num( P# = 6 ) | 5 | 12 | 1 | 49 | 11 | 2 |
| Num( P# = 7 ) | 220 | 108 | 15 | 81 | 68 | 33 |
Summary Statistics
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Mean( P# ) | 4.095 | 2.768 | 0.655 | 3.182 | 1.633 | 1.050 |
| Max( P# ) | 7 | 7 | 7 | 7 | 7 | 7 |
| σ( P# ) | 3.018 | 2.648 | 1.482 | 2.553 | 2.551 | 2.044 |
Correlations
| P1 | P2 | P3 | P4 | P5 | P6 | |
|---|---|---|---|---|---|---|
| Corr( P#, Sum ) | 0.714 | 0.734 | 0.610 | 0.580 | 0.784 | 0.646 |
| Corr( P#, P1 ) | 0.405 | 0.260 | 0.228 | 0.430 | 0.411 | |
| Corr( P#, P2 ) | 0.405 | 0.338 | 0.265 | 0.513 | 0.410 | |
| Corr( P#, P3 ) | 0.260 | 0.338 | 0.404 | 0.410 | 0.363 | |
| Corr( P#, P4 ) | 0.228 | 0.265 | 0.404 | 0.367 | 0.102 | |
| Corr( P#, P5 ) | 0.430 | 0.513 | 0.410 | 0.367 | 0.454 | |
| Corr( P#, P6 ) | 0.411 | 0.410 | 0.363 | 0.102 | 0.454 |