A display apparatus includes an image data receiver receiving image data of an image to be displayed. A driving mode determining controller receives anomalous trichromat data of a user, determines a driving mode as either a general driving mode or an anomalous trichromat correction driving mode, and outputs a driving mode signal indicative of the determination. A correction mode requirement luminance calculator calculates a correction mode requirement luminance for an image output for the user. A backlight boosting determination controller determines a level of boosting light emitted from a backlight, and outputs a boosting determine signal. An image data converter converts image data corresponding to the anomalous trichromat data of the user and the correction mode requirement luminance, and outputs a data signal corresponding to correction image data. The backlight emits light having an intensity corresponding to signals. A pixel transmits light according to the data signal.