Statistic ends this morning a fraud (4)
I believe the answer is:
scam
'a fraud' is the definition.
(scam is a kind of fraud)
'statistic ends this morning' is the wordplay.
'ends' suggests removing the centre.
'this morning' becomes 'am'.
'statistic' with its middle removed is 'sc'.
'sc'+'am'='SCAM'
(Other definitions for scam that I've seen before include "Dodgy business" , "'A con, deception (4)'" , "rook" , "Racket" , "Hoax" .)