# Mathematical statistics of runs - Baseball. Europe Championship

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

Quantity of matches (sample size) : 208, period of time : 09-07-2012 - 07-17-2022

### Match total - runs

Average per match E = 12.53, variance V = 32.41, SD = 5.69, E/V = 0.39, Min = 1, Max = 29

P1 = 58.2%, draw = 0.0%, P2 = 41.8%, total 0 = 0.0%, over 2.5 = 97.6%, under 2.5 = 2.4%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=7.89, p=0.39

### Home team runs

Average per match E = 6.80, variance V = 25.74, SD = 5.07, E/V = 0.26, Min = 0, Max = 23

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=2.44, p=0.26

### Away team runs

Average per match E = 5.73, variance V = 23.06, SD = 4.80, E/V = 0.25, Min = 0, Max = 19

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=1.89, p=0.25

### Runs difference

Average per match E = 1.08, variance V = 65.19, SD = 8.07, E/V = 0.02, Min = -18, Max = 23

Basic random variable ~ Normal (Gauss) distribution: N(E, V)