Were the Germans physically superior?

[Tarbicus]

Kron found the mean height of 927 Italian adult males from 500 BC to 500 AD to be 168.3 cm, with no significant trends in height based on region or date. Some isolated findings:

146 individuals from Pontecagnano (4th-3rd c. BC), mean height 169.1 cm
49 individuals from Herculaneum (various periods), mean height 169.1 cm
67 individuals from Civitanova (various periods), mean height 169 cm
60 individuals from Monte Casaia (various periods), mean height 167.8 cm

However, as he notes, these heights very likely underestimate the heights of young males of military age because they include many older males as well, and height can diminish as much as 3 cm during an individual's lifetime.

That's roughly 5' 6.5" to the non-metric amongst you.