Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 3618, period of time : 09-09-2005 - 02-02-2020

Match total

Average per match E = 44.67, variance V = 195.17, SD = 13.97, E/V = 0.23, Min = 3, Max = 105
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Home team goals

Average per match E = 23.44, variance V = 107.70, SD = 10.38, E/V = 0.22, Min = 0, Max = 62
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Away team goals

Average per match E = 21.23, variance V = 100.72, SD = 10.04, E/V = 0.21, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.21, variance V = 221.67, SD = 14.89, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)