Mathematical statistics of runs - Baseball

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

Quantity of matches (sample size) : 25230, period of time : 09-30-2011 - 09-24-2021

Match total - runs

Average per match E = 8.82, variance V = 19.98, SD = 4.47, E/V = 0.44, Min = 1, Max = 38
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.98, p=0.44

Home team runs

Average per match E = 4.47, variance V = 9.52, SD = 3.09, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.96, p=0.47

Away team runs

Average per match E = 4.35, variance V = 9.99, SD = 3.16, E/V = 0.44, Min = 0, Max = 24
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.35, p=0.44

Runs difference

Average per match E = 0.13, variance V = 19.06, SD = 4.37, E/V = 0.01, Min = -21, Max = 21
Basic random variable ~ Normal (Gauss) distribution: N(E, V)