Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 3389, period of time : 09-04-2008 - 02-07-2021

Match total

Average per match E = 45.32, variance V = 195.45, SD = 13.98, E/V = 0.23, Min = 6, Max = 105
P1 = 54.4%, draw = 3.2%, 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 = 23.69, variance V = 106.90, SD = 10.34, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.64, variance V = 100.23, SD = 10.01, 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 = 218.82, SD = 14.79, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)