Mathematical statistics of goals - American football

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 1335, period of time : 01-18-2015 - 01-12-2020

Match total

Average per match E = 45.19, variance V = 194.42, SD = 13.94, E/V = 0.23, Min = 6, Max = 105
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Home team goals

Average per match E = 23.51, variance V = 103.23, SD = 10.16, E/V = 0.23, Min = 0, Max = 57
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Away team goals

Average per match E = 21.68, variance V = 94.00, SD = 9.70, E/V = 0.23, Min = 0, Max = 59
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Goals difference

Average per match E = 1.83, variance V = 200.04, SD = 14.14, E/V = 0.01, Min = -49, Max = 44
Basic random variable - Normal (Gauss) Distribution : N(E, V)