Shot for a good average (5)

I believe the answer is:
aimed
'shot for' is the definition.
('aim' can be a synonym of 'shoot for')
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for aimed that I've seen before include "Tried; pointed" , "Focused on as target" , "Directed, targeted" , "Set sights on for a dime" , "Directed towards specified goal" .)
