Mathematical statistics of goals - American football

Graphs of sample (in blue) and basic random variables (probability density)

Quantity of matches (sample size) : 3152, period of time : 09-13-2009 - 02-07-2021

Match total

Average per match E = 45.42, variance V = 194.59, SD = 13.95, E/V = 0.23, Min = 6, Max = 105
P1 = 54.2%, draw = 3.4%, P2 = 42.4%, total 0 = 0.0%, over 2.5 = 100.0%, under 2.5 = 0.0%
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Home team goals

Average per match E = 23.74, variance V = 106.72, SD = 10.33, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.68, variance V = 99.67, SD = 9.98, E/V = 0.22, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.05, variance V = 218.20, SD = 14.77, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)