51st IMO 2010

P1 P2 P3 P4 P5 P6
Num( P# = 0 ) 39 223 428 84 352 470
Num( P# = 1 ) 17 93 48 2 85 14
Num( P# = 2 ) 27 23 10 10 26 4
Num( P# = 3 ) 16 8 4 47 3 3
Num( P# = 4 ) 34 2 4 2 0 0
Num( P# = 5 ) 35 4 4 4 2 6
Num( P# = 6 ) 54 2 2 2 11 4
Num( P# = 7 ) 294 161 16 365 37 15
Mean( P# ) 5.450 2.578 0.465 5.345 0.932 0.368
Max( P# ) 7 7 7 7 7 7
σ( P# ) 2.293 3.088 1.414 2.718 1.982 1.403
Corr( P#, Sum ) 0.633 0.768 0.540 0.689 0.437 0.441
Corr( P#, P1 ) 1.000 0.337 0.194 0.373 0.135 0.098
Corr( P#, P2 ) 0.337 1.000 0.372 0.415 0.132 0.228
Corr( P#, P3 ) 0.194 0.372 1.000 0.195 0.206 0.246
Corr( P#, P4 ) 0.373 0.415 0.195 1.000 0.067 0.149
Corr( P#, P5 ) 0.135 0.132 0.206 0.067 1.000 0.211
Corr( P#, P6 ) 0.098 0.228 0.246 0.149 0.211 1.000