The rated wattage is the steady running wattage.
Many devices, (eg refrigerators, flourescent lights, tungsten lights,) draw more initial power when starting and then settle down to the rated power in normal running. Of course devices such as a refrigerator will have periods of off or reduced power.
Devices with an electric motors may draw considerably more than rated power if overloaded. eg an electric door opener with a sticky door or an electric drill with a blunt cutter or a vacuum cleaner with a blocked filter....