Since we don't have weight, I think it's fair to use strength and stamina for weight.
BMI = (Str + Sta)/Height
In order of highest bmi to lowest (using OP figures for height)
Halflings - 4.58
Dwarf - 4.17
Gnome - 4.17
Barbarian - 3.03
Ogre - 2.52
Wood Elf - 2.5
Troll - 2.47
Half Elf - 2.42
Dark Elf - 2.42
Human - 2.36
High Elf - 2.25
Erudite - 2.01
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