# Mathematical statistics of runs - Baseball. Korea Republic. KBO

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

Quantity of matches (sample size) : 1980, period of time : 08-31-2021 - 05-12-2024

### Match total - runs

Average per match E = 9.31, variance V = 22.38, SD = 4.73, E/V = 0.42, Min = 1, Max = 27

P1 = 51.5%, draw = 0.0%, P2 = 48.5%, total 0 = 0.0%, over 2.5 = 96.1%, under 2.5 = 3.9%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.63, p=0.42

### Home team runs

Average per match E = 4.65, variance V = 10.95, SD = 3.31, E/V = 0.42, Min = 0, Max = 19

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.43, p=0.42

### Away team runs

Average per match E = 4.66, variance V = 11.62, SD = 3.41, E/V = 0.40, Min = 0, Max = 24

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.12, p=0.40

### Runs difference

Average per match E = -0.02, variance V = 22.75, SD = 4.77, E/V = 0.00, Min = -23, Max = 17

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