At short notice, turned up numerical information (4)
I believe the answer is:
data
'numerical information' is the definition.
(I've seen this before)
'at short notice turned up' is the wordplay.
'at' means one lot of letters go next to another.
'short' means to remove the last letter.
'notice' becomes 'ad' (both can mean an advertisement).
'turned up' becomes 'dat' (I can't explain this - if you can you should believe this answer much more).
'ad' with its final letter taken away is 'a'.
'a' put after 'dat' is 'DATA'.
Can you help me to learn more?
(Other definitions for data that I've seen before include "Raw facts" , "Statistical information" , "Facts and figures as fed to computers (4)" , "Numerical facts" , "Facts and figures as processed by computer" .)