Disclosed are a display and a method of driving the display. The display includes a display panel on which a plurality of data lines are formed, a data driver for supplying data voltages generated by modulating input image data to the respective data lines. The data driver includes a precharging unit for selecting a specific precharge voltage from a plurality of precharge voltages applied to the data driver depending on grayscale sections of the input image data, and for precharging the selected precharge voltages to the respective data lines.A predetermined voltage is precharged according to a grayscale section of image data and then applied to a pixel, whereby voltage rising time and voltage falling time when charging the pixel can be shortened. Therefore, even though the charge time of the pixel is shortened and bias current of the data driver is thus reduced, it is possible to obtain high driving performance. In addition, since the bias current of the data driver is reduced, overall current consumption is reduced and heat generation can also be suppressed.