Mathematical statistics of goals - Baseball

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 2478, period of time : 04-23-2018 - 04-22-2019

Match total

Average per match E = 8.94, variance V = 20.63, SD = 4.54, E/V = 0.43, Min = 1, Max = 31
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=6.84, p=0.43

Home team goals

Average per match E = 4.54, variance V = 10.08, SD = 3.18, E/V = 0.45, Min = 0, Max = 25
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.72, p=0.45

Away team goals

Average per match E = 4.40, variance V = 9.96, SD = 3.16, E/V = 0.44, Min = 0, Max = 24
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.49, p=0.44

Goals difference

Average per match E = 0.14, variance V = 19.46, SD = 4.41, E/V = 0.01, Min = -20, Max = 21
Basic random variable - Normal (Gauss) Distribution : N(E, V)