Mathematical statistics of goals - Baseball

Graphs of sample and basic random variables (probability density)

Quantity of matches (sample size) : 2464, period of time : 03-29-2018 - 10-29-2018

Match total

Average per match E = 8.89, variance V = 20.54, SD = 4.53, E/V = 0.43, Min = 1, Max = 31
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=6.77, p=0.43

Home team goals

Average per match E = 4.51, variance V = 10.47, SD = 3.24, E/V = 0.43, Min = 0, Max = 25
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.42, p=0.43

Away team goals

Average per match E = 4.37, variance V = 9.86, SD = 3.14, E/V = 0.44, Min = 0, Max = 24
Basic random variable - Negative Binomial (Pascal) Distribution : NB(r, p), r=3.48, p=0.44

Goals difference

Average per match E = 0.14, variance V = 20.12, SD = 4.49, E/V = 0.01, Min = -20, Max = 21
Basic random variable - Normal (Gauss) Distribution : N(E, V)