As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
#1 ENGINE FUEL FLOW INDICATION ERRATIC. FUEL FLOW RANGE FROM 2.31-2.62 AT FL 370. THE FUEL FLOW WOULD INCREASE AND DECREASE VERY QUICKLY. OTHER ENGINE INDICATIONS WERE NORMAL. GROUNDED - YES. REMOVED AND REPLACED #1 ENG FUEL FLOW TRANSMITTER REF B737-800 AMM 73-31-01. OPTS CHECK GOOD NO LEAKS, DEFECTS NOTED AT THIS TIME. A/C OK FOR SERVICE.