Tournament Table

Mathematical statistics of goals - Football. Scotland. Premier League

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

Quantity of matches (sample size) : 2263, period of time : 08-09-2014 - 05-26-2024

Match total

Average per match E = 2.66, variance V = 2.57, SD = 1.60, E/V = 1.04, Min = 0, Max = 10
P1 = 43.3%, draw = 23.5%, P2 = 33.2%, total 0 = 6.8%, over 2.5 = 51.0%, under 2.5 = 49.0%
Basic random variable ~ Poisson distribution: Pois(E)

Home team goals

Average per match E = 1.47, variance V = 1.72, SD = 1.31, E/V = 0.86, Min = 0, Max = 8
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 = 1.38, SD = 1.18, E/V = 0.86, Min = 0, Max = 9
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

Goals difference

Average per match E = 0.28, variance V = 3.64, SD = 1.91, E/V = 0.08, Min = -9, Max = 8
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)