Mathematical statistics of runs - Baseball

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

Quantity of matches (sample size) : 26820, period of time : 09-30-2011 - 05-10-2022

Match total - runs

Average per match E = 8.79, variance V = 20.02, SD = 4.47, E/V = 0.44, Min = 1, Max = 38
P1 = 53.6%, draw = 0.0%, P2 = 46.4%, total 0 = 0.0%, over 2.5 = 96.0%, under 2.5 = 4.0%
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.89, p=0.44

Home team runs

Average per match E = 4.46, variance V = 9.54, SD = 3.09, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.92, p=0.47

Away team runs

Average per match E = 4.33, variance V = 10.02, SD = 3.17, E/V = 0.43, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.30, p=0.43

Runs difference

Average per match E = 0.13, variance V = 19.10, SD = 4.37, E/V = 0.01, Min = -21, Max = 21
Basic random variable ~ Normal (Gauss) distribution: N(E, V)