Mathematical statistics of goals - Baseball

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 2473, period of time : 09-14-2017 - 09-13-2018

Match total

Average per match E = 8.89, variance V = 20.70, SD = 4.55, E/V = 0.43, Min = 1, Max = 31
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=6.68, p=0.43

Home team goals

Average per match E = 4.53, variance V = 10.27, SD = 3.20, E/V = 0.44, Min = 0, Max = 25
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.58, p=0.44

Away team goals

Average per match E = 4.36, variance V = 9.95, SD = 3.15, E/V = 0.44, Min = 0, Max = 24
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.40, p=0.44

Goals difference

Average per match E = 0.17, variance V = 19.73, SD = 4.44, E/V = 0.01, Min = -20, Max = 21
Basic random variable - Normal (Gauss) Distribution : N(E, V)