Mathematical statistics of goals - American football

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

Quantity of matches (sample size) : 3830, period of time : 10-08-2006 - 02-07-2021

Match total

Average per match E = 45.03, variance V = 197.02, SD = 14.04, E/V = 0.23, Min = 3, Max = 105
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Home team goals

Average per match E = 23.54, variance V = 106.84, 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 = 21.50, variance V = 101.60, SD = 10.08, E/V = 0.21, Min = 0, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)

Goals difference

Average per match E = 2.04, variance V = 219.87, SD = 14.83, E/V = 0.01, Min = -49, Max = 59
Basic random variable ~ Normal (Gauss) distribution: N(E, V)