Mathematical statistics of goals - Baseball

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 2480, period of time : 10-15-2018 - 10-14-2019

Match total

Average per match E = 9.63, variance V = 22.51, SD = 4.74, E/V = 0.43, Min = 1, Max = 30
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=7.19, p=0.43

Home team goals

Average per match E = 4.81, variance V = 10.30, SD = 3.21, E/V = 0.47, Min = 0, Max = 21
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=4.20, p=0.47

Away team goals

Average per match E = 4.82, variance V = 11.67, SD = 3.42, E/V = 0.41, Min = 0, Max = 23
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.39, p=0.41

Goals difference

Average per match E = -0.01, variance V = 21.43, SD = 4.63, E/V = 0.00, Min = -21, Max = 20
Basic random variable - Normal (Gauss) Distribution : N(E, V)