A method of compensating data uses a look-up table divided into a first area, a second area and a boundary area between the first and second areas defined by a first previous reference value, a second previous reference value greater than the first previous reference value, a first current reference value and a second current reference value less than the first current reference value. A compensation data of a current frame is generated based on to which one of the first, second and boundary areas grayscale data of previous and current frames belongs.