1. Mixture of Normal Distributions Body Mass Indices Among NBA, WNBA, EPL, and NHL Athletes

2. Data Body Mass Indices (BMI) Among Professional Athletes in 4 Leagues  NBA (2013-14) – N 1 = 505,  1 = 24.74,  1 = 1.72  WNBA (2014) – N 2 = 139,  2 = 23.14,  2 = 2.10  EPL (2015) – N 3 = 526,  3 = 23.02,  3 = 1.71  NHL (2014-15) – N 4 = 717,  4 = 26.50,  4 = 1.45 Distributions are approximately Normal Weights (proportions of players by league):   1 = 0.2676  2 = 0.0737  3 = 0.2787  4 = 0.3800

5. Mixture of Normal Distributions

6. Sports League Model for BMI Obtained using =average(a2:a1888) =var.p(a2:a1888)