Mathematical statistics of runs - Baseball

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

Quantity of matches (sample size) : 29771, period of time : 09-30-2011 - 09-25-2022

Match total - runs

Average per match E = 8.77, variance V = 20.04, SD = 4.48, E/V = 0.44, Min = 1, Max = 38
P1 = 53.5%, draw = 0.0%, P2 = 46.5%, total 0 = 0.0%, over 2.5 = 95.9%, under 2.5 = 4.1%
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.82, p=0.44

Home team runs

Average per match E = 4.44, variance V = 9.50, SD = 3.08, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.89, p=0.47

Away team runs

Average per match E = 4.33, variance V = 10.11, SD = 3.18, E/V = 0.43, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.24, p=0.43

Runs difference

Average per match E = 0.11, variance V = 19.18, SD = 4.38, E/V = 0.01, Min = -23, Max = 21
Basic random variable ~ Normal (Gauss) distribution: N(E, V)