"Open ground" means that it detects a potential between the ground connection and the neutral connection, which should be bonded together at the main panel feeding the socket. You have a problem with the wiring of your outdoor socket. As others have said, this may simply be the socket itself not making good contact with the plug, or it may be an actual wiring problem or a failed neutral/ground bond at the main panel.
Since the ground is a safety ground and not a current carrying conductor, an open ground will not normally affect the operation of the electrical stuff in your RV. You have a complete circuit still. It does mean that if you should have some sort of a fault in the wiring of the RV such that a wire shorts or partly shorts to the chassis you could very well end up with a dangerous hot skin condition at the RV.