Mathematical statistics of goals - American football

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 1335, period of time : 09-05-2014 - 02-03-2019

Match total

Average per match E = 45.13, variance V = 192.76, SD = 13.88, E/V = 0.23, Min = 6, Max = 105
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Home team goals

Average per match E = 23.74, variance V = 106.52, SD = 10.32, E/V = 0.22, Min = 0, Max = 57
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Away team goals

Average per match E = 21.39, variance V = 91.74, SD = 9.58, E/V = 0.23, Min = 0, Max = 51
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Goals difference

Average per match E = 2.35, variance V = 203.75, SD = 14.27, E/V = 0.01, Min = -38, Max = 52
Basic random variable - Normal (Gauss) Distribution : N(E, V)