Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 2595, period of time : 09-20-2011 - 02-07-2021

Match total

Average per match E = 45.76, variance V = 195.73, SD = 13.99, E/V = 0.23, Min = 6, Max = 105
P1 = 53.8%, draw = 3.7%, 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 = 23.88, variance V = 106.28, SD = 10.31, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.87, variance V = 97.34, SD = 9.87, E/V = 0.22, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.01, variance V = 211.50, SD = 14.54, E/V = 0.01, Min = -49, Max = 58
Basic random variable ~ Normal (Gauss) distribution: N(E, V)