41st IMO 2000

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
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
Corr( P#, Sum ) 0.714 0.734 0.610 0.580 0.784 0.646
Corr( P#, P1 ) 1.000 0.405 0.260 0.228 0.430 0.411
Corr( P#, P2 ) 0.405 1.000 0.338 0.265 0.513 0.410
Corr( P#, P3 ) 0.260 0.338 1.000 0.404 0.410 0.363
Corr( P#, P4 ) 0.228 0.265 0.404 1.000 0.367 0.102
Corr( P#, P5 ) 0.430 0.513 0.410 0.367 1.000 0.454
Corr( P#, P6 ) 0.411 0.410 0.363 0.102 0.454 1.000