An apparatus and a method for gravimetrically metering pourable or flowable material to be weighed are provided. A container holds the material to be weighed and a weighing device detects the weight of the container. A first actuator fills the container located on the weighing device with the material to be weighed and a second actuator empties the container or places the empty container on the weighing device. Further, a control device for generating control signals for the actuators is provided. A signal filter with a variable filter characteristic filters the weighing signal delivered by the weighing device. A filter matching device, controlled by the control device, matches the filter characteristic as a function of the control signals to various predetermined filter characteristics.