I think he's referring to the commonly accepted rule that if Carbon is not present, the central atom is usually the lesser electronegative of the choices.
Ok, although I think that the rule that the central atom is usually the unique atom must be more useful. E.g. the central atom in SF
5 is the S; the central atom in ClO
2 is the Cl; the central atom in Cl
2O is the O, even when it is the most electronegative.
In this case the unique atoms are H and Br, and as you pointed the H cannot be the central atom.