Mediterranean as a 'racial' type no longer has much meaning, but in the first half of the 20th century it also meant dolichocephalic head shape (on the long side, front to back measurement visibly longer than from side to side, cephalic index less than 75), usually long face, rather broad nose, dark brown or black hair, slender form, medium height, finer bone structure than central Europeans, and less trouble with ingrown toenails among other things. (I have just roughly described myself; Mediterranean from two sources, Spanish and black Irish, from three of four sets of grandparents).

These ideas came into disrepute and became politically incorrect as a result of Hitler elevating the Nordic race to the top of the heap.
Forensic anthropologists still measure these characteristics but do not to refer to them as 'racial' as was done before WW2. DNA nowadays has refined their methods.