46th IMO 2005

P1 P2 P3 P4 P5 P6
Num( P# = 0 ) 207 96 423 90 288 325
Num( P# = 1 ) 59 202 23 145 35 39
Num( P# = 2 ) 65 13 3 30 30 57
Num( P# = 3 ) 19 7 0 0 16 13
Num( P# = 4 ) 5 11 0 0 4 15
Num( P# = 5 ) 11 7 0 3 6 2
Num( P# = 6 ) 5 2 9 7 8 6
Num( P# = 7 ) 141 174 54 237 125 55
Mean( P# ) 2.613 3.043 0.900 3.752 2.172 1.334
Max( P# ) 7 7 7 7 7 7
σ( P# ) 2.944 2.973 2.249 3.124 2.968 2.285
Corr( P#, Sum ) 0.717 0.766 0.632 0.719 0.726 0.699
Corr( P#, P1 ) 1.000 0.439 0.326 0.408 0.457 0.376
Corr( P#, P2 ) 0.439 1.000 0.335 0.471 0.430 0.562
Corr( P#, P3 ) 0.326 0.335 1.000 0.319 0.454 0.401
Corr( P#, P4 ) 0.408 0.471 0.319 1.000 0.378 0.406
Corr( P#, P5 ) 0.457 0.430 0.454 0.378 1.000 0.344
Corr( P#, P6 ) 0.376 0.562 0.401 0.406 0.344 1.000