Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 3638, period of time : 09-07-2007 - 02-07-2021

Match total

Average per match E = 45.19, variance V = 196.67, SD = 14.02, E/V = 0.23, Min = 3, Max = 105
P1 = 54.4%, draw = 3.0%, P2 = 42.5%, 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 = 23.65, variance V = 107.32, SD = 10.36, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.54, variance V = 101.33, SD = 10.07, E/V = 0.21, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.11, variance V = 220.63, SD = 14.85, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)