53rd IMO 2012

P1 P2 P3 P4 P5 P6
Num( P# = 0 ) 41 263 480 53 348 473
Num( P# = 1 ) 37 83 11 65 17 39
Num( P# = 2 ) 15 8 4 95 29 12
Num( P# = 3 ) 24 5 31 74 45 3
Num( P# = 4 ) 16 8 7 47 15 9
Num( P# = 5 ) 11 2 6 26 4 0
Num( P# = 6 ) 2 7 0 44 3 1
Num( P# = 7 ) 401 171 8 143 86 10
Mean( P# ) 5.625 2.550 0.413 3.766 1.664 0.336
Max( P# ) 7 7 7 7 7 7
σ( P# ) 2.440 3.145 1.259 2.473 2.596 1.149
Corr( P#, Sum ) 0.652 0.748 0.535 0.721 0.727 0.483
Corr( P#, P1 ) 1.000 0.325 0.140 0.463 0.331 0.110
Corr( P#, P2 ) 0.325 1.000 0.329 0.369 0.408 0.256
Corr( P#, P3 ) 0.140 0.329 1.000 0.268 0.315 0.538
Corr( P#, P4 ) 0.463 0.369 0.268 1.000 0.395 0.217
Corr( P#, P5 ) 0.331 0.408 0.315 0.395 1.000 0.322
Corr( P#, P6 ) 0.110 0.256 0.538 0.217 0.322 1.000