Mathematical statistics of goals - Baseball

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

Quantity of matches (sample size) : 2644, period of time : 04-09-2019 - 03-15-2020

Match total

Average per match E = 9.65, variance V = 22.51, SD = 4.74, E/V = 0.43, Min = 1, Max = 32
Basic random variable - Negative Binomial (Pascal) distribution: NB(r, p), r=7.24, p=0.43

Home team goals

Average per match E = 4.82, variance V = 10.31, SD = 3.21, E/V = 0.47, Min = 0, Max = 21
Basic random variable - Negative Binomial (Pascal) distribution: NB(r, p), r=4.23, p=0.47

Away team goals

Average per match E = 4.83, 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=3.42, p=0.41

Goals difference

Average per match E = -0.01, variance V = 21.45, SD = 4.63, E/V = 0.00, Min = -21, Max = 20
Basic random variable - Normal (Gauss) distribution: N(E, V)