Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 3593, period of time : 09-30-2007 - 02-07-2021

Match total

Average per match E = 45.22, variance V = 195.92, SD = 14.00, E/V = 0.23, Min = 3, Max = 105
P1 = 54.4%, draw = 3.1%, P2 = 42.6%, 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 = 23.66, variance V = 107.20, SD = 10.35, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.56, variance V = 101.01, SD = 10.05, E/V = 0.21, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.09, variance V = 220.51, SD = 14.85, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)