1. A display device, comprising: a display panel serving as a light modulation device; a backlight provided behind the display panel, for emitting irradiation light; a memory for frame rate conversion for outputting a video signal, which is subjected to frame rate conversion, with a higher frequency than a frequency of an input video signal input from an external system; an interpolation frame generation unit for generating an interpolation frame based on the video signal which is subjected to the frame rate conversion, and outputting a video signal into which the interpolation frame is inserted; a histogram generator for generating a histogram based on the input video signal; and a backlight brightness calculation unit for calculating a backlight control signal for adjusting brightness of the backlight based on the histogram, the display device further comprising: wherein image data for display is input to the display panel, wherein the backlight control signal is input to the backlight, wherein the image data for display is obtained by subjecting image data of an N-th frame of the input video signal to the frame rate conversion, and image data of the interpolation frame generated based on the image data of the N-th frame and image data of an (N+1)-th frame of the input video signal, where N represents a natural number including zero; and wherein the backlight control signal calculated based on the histogram generated based on the image data of the N-th frame is used for displaying the image data for display, and wherein the display device comprises a display image data correction unit, coupled to the interpolation frame generation unit, the backlight brightness calculation unit and the display panel, for correcting the video signal output from the interpolation frame generation unit, into which the interpolation frame is inserted, based on the backlight control signal output from the backlight brightness calculation unit, and for outputting the image data, after correction, to the display panel for display.