# Mathematical statistics of runs - Baseball. Europe Championship

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

Quantity of matches (sample size) : 183, period of time : 09-07-2012 - 09-19-2021

### Match total - runs

Average per match E = 11.97, variance V = 29.04, SD = 5.39, E/V = 0.41, Min = 1, Max = 27

P1 = 59.0%, draw = 0.0%, P2 = 41.0%, total 0 = 0.0%, over 2.5 = 97.3%, under 2.5 = 2.7%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=8.39, p=0.41

### Home team runs

Average per match E = 6.58, variance V = 25.13, SD = 5.01, E/V = 0.26, Min = 0, Max = 23

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=2.34, p=0.26

### Away team runs

Average per match E = 5.38, variance V = 19.91, SD = 4.46, E/V = 0.27, Min = 0, Max = 19

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=1.99, p=0.27

### Runs difference

Average per match E = 1.20, variance V = 61.04, SD = 7.81, E/V = 0.02, Min = -18, Max = 23

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