Mathematical statistics of goals - Basketball

Graphics of sample and basic random variables (probability density)

Quantity of matches (sample size) : 17896, period of time : 09-25-2012 - 06-23-2017

Match total

Average per match E = 154.51, variance V = 311.11, SD = 17.64, E/V = 0.50, Min = 89, Max = 230
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Home team goals

Average per match E = 79.16, variance V = 134.35, SD = 11.59, E/V = 0.59, Min = 40, Max = 132
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Away team goals

Average per match E = 75.36, variance V = 127.48, SD = 11.29, E/V = 0.59, Min = 35, Max = 135
Basic random variable - Normal (Gauss) Distribution : N(E, V)

Goals difference

Average per match E = 3.80, variance V = 212.54, SD = 14.58, E/V = 0.02, Min = -76, Max = 69
Basic random variable - Normal (Gauss) Distribution : N(E, V)