A method of compensating data includes: generating color correction data of primary image data using a plurality of three-dimensional look-up tables in response to the primary image data and a stereoscopic image mode signal, where stored color correction data in the three-dimensional look-up tables are mapped with reference data in the three-dimensional look-up tables in one-to-three correspondence, and a gradation range of the stored color correction data in the three-dimensional look-up tables is less than a gradation range of the primary image data; and converting the generated color correction data to compensated data based on the generated color correction data of the primary image data and the color correction data of the primary image data of a previous frame, wherein a gradation range of the compensated data is substantially identical to the gradation range of the primary image data.