Mathematical statistics of runs - Baseball

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

Quantity of matches (sample size) : 34285, period of time : 09-30-2011 - 05-14-2024

Match total - runs

Average per match E = 8.71, variance V = 19.96, SD = 4.47, E/V = 0.44, Min = 0, Max = 38
P1 = 52.8%, draw = 0.8%, P2 = 46.4%, total 0 = 0.1%, over 2.5 = 95.6%, under 2.5 = 4.4%
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.74, p=0.44

Home team runs

Average per match E = 4.40, variance V = 9.44, SD = 3.07, E/V = 0.47, Min = 0, Max = 29
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.85, p=0.47

Away team runs

Average per match E = 4.31, variance V = 10.03, SD = 3.17, E/V = 0.43, Min = 0, Max = 28
Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.24, p=0.43

Runs difference

Average per match E = 0.09, variance V = 18.98, SD = 4.36, E/V = 0.00, Min = -24, Max = 21
Basic random variable ~ Normal (Gauss) distribution: N(E, V)