IMO 1960 — Statistics

Score Distribution

P1P2P3P4P5P6P7
Num( P# = 0 ) 4382543
Num( P# = 1 ) 0100240
Num( P# = 2 ) 1101002
Num( P# = 3 ) 0200000
Num( P# = 4 ) 0001101
Num( P# = 5 ) 0106104
Num( P# = 6 ) 2220010
Num( P# = 7 ) 0000110
Num( P# = 8 ) 3000000

Summary Statistics

P1P2P3P4P5P6P7
Mean( P# ) 3.8002.6001.2003.6001.8001.7002.800
Max( P# ) 8665775
σ( P# ) 3.5162.2892.4002.0102.4412.4522.135

Correlations

P1P2P3P4P5P6P7
Corr( P#, Sum ) 0.7800.6670.5800.7920.7110.6280.928
Corr( P#, P1 ) 0.3630.1710.6400.6240.2250.767
Corr( P#, P2 ) 0.3630.6330.4650.3440.1210.556
Corr( P#, P3 ) 0.1710.6330.3480.1430.3670.398
Corr( P#, P4 ) 0.6400.4650.3480.3710.4630.797
Corr( P#, P5 ) 0.6240.3440.1430.3710.4750.568
Corr( P#, P6 ) 0.2250.1210.3670.4630.4750.638
Corr( P#, P7 ) 0.7670.5560.3980.7970.5680.638