A data driver for a display includes: a polarity signal generator outputting polarity control signals for setting polarity patterns of data voltages such that pixels have the same polarity inversion pattern for every 2h number of pixels (where h is a natural number) in each pixel row defined by pixels that are arranged on the same row and have the same polarity inversion pattern for every 2k number of pixel rows (where k is a natural number) in a column direction; and a data voltage generator determining polarities of the data voltages in response to the polarity control signal to provide the determined polarities of the data voltages to the pixels.