A data processing method and a television controlled by a remote controller are described. The television includes a tuner to receive a broadcast program, an infrared (IR) module to receive an IR signal from a physical remote controller, a controller to change a power-off state into a power-on state based on the received IR signal, a radio frequency (RF) module configured to receive an RF signal from the physical remote controller, and a display module to display a screen remote controller in a predetermined region while displaying the received broadcast program in a screen of the television. The screen remote controller's size is changeable depending on a user's selection. The screen remote controller comprises a first control region comprised of sub-regions used to change at least one channel of the television and a second control region comprised of at least one sub-region used to link to the Internet.