Average sort of name (4)
I believe the answer is:
mean
'average' is the definition.
(type of average)
'sort of name' is the wordplay.
'sort of' is an anagram indicator.
'name' is an anagram of 'MEAN'.
(Other definitions for mean that I've seen before include "Close" , "Intend - shabby" , "Intend - miserly" , "Stingy in average way" , "Base; tight" .)