To the Heroes Glory!

# Mathematical statistics of goals - Football. USA. MLS

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

Quantity of matches (sample size) : 1841, period of time : 07-30-2016 - 07-26-2021

### Match total

Average per match E = 2.97, variance V = 2.88, SD = 1.70, E/V = 1.03, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E)  ### Home team goals

Average per match E = 1.79, variance V = 1.71, SD = 1.31, E/V = 1.05, Min = 0, Max = 7
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Away team goals

Average per match E = 1.19, variance V = 1.22, SD = 1.11, E/V = 0.97, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) ••• ### Goals difference

Average per match E = 0.60, variance V = 2.99, SD = 1.73, E/V = 0.20, Min = -6, Max = 7
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2) Page time:

Wednesday
07-28-2021
16:30:39 UTC