Tournament Table

Mathematical statistics of goals - Football. Germany. Cup

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

Quantity of matches (sample size) : 374, period of time : 10-25-2016 - 05-25-2024

Match total

Average per match E = 3.17, variance V = 3.32, SD = 1.82, E/V = 0.95, Min = 0, Max = 12
P1 = 30.2%, draw = 24.6%, P2 = 45.2%, total 0 = 4.0%, over 2.5 = 59.4%, under 2.5 = 40.6%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.33, variance V = 1.48, SD = 1.22, E/V = 0.90, Min = 0, Max = 6
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Away team goals

Average per match E = 1.84, variance V = 2.60, SD = 1.61, E/V = 0.71, Min = 0, Max = 12
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = -0.51, variance V = 4.85, SD = 2.20, E/V = -0.11, Min = -12, Max = 6
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)