22nd IMO 1981

P1 P2 P3 P4 P5 P6
Num( P# = 0 ) 126 122 127 122 123 123
Num( P# = 1 ) 6 0 3 0 1 0
Num( P# = 2 ) 0 5 3 1 0 1
Num( P# = 3 ) 0 0 2 1 2 0
Num( P# = 4 ) 1 1 0 3 0 1
Num( P# = 5 ) 0 0 3 4 2 0
Num( P# = 6 ) 3 2 2 4 5 3
Num( P# = 7 ) 36 42 32 37 39 44
Mean( P# ) 1.628 1.860 1.547 1.860 1.860 1.930
Max( P# ) 7 7 7 7 7 7
σ( P# ) 2.892 3.022 2.788 2.975 3.016 3.091
Corr( P#, Sum ) 0.543 0.530 0.528 0.522 0.508 0.501
Corr( P#, P1 ) 1.000 0.918 0.855 0.909 0.893 0.876
Corr( P#, P2 ) 0.918 1.000 0.870 0.972 0.966 0.954
Corr( P#, P3 ) 0.855 0.870 1.000 0.911 0.842 0.872
Corr( P#, P4 ) 0.909 0.972 0.911 1.000 0.950 0.961
Corr( P#, P5 ) 0.893 0.966 0.842 0.950 1.000 0.941
Corr( P#, P6 ) 0.876 0.954 0.872 0.961 0.941 1.000