We investigated the relationship between viewer comprehension of a TV program and the direction of his or her gaze in a real experimental TV educational program involving 26 elementary schoolchildren. The aim was to observe the correlation between TV program comprehension and entropy of gaze distribution. Gaussian Mixture Models (GMM) are estimated using statistical methods and assumed to represent the distribution of many subjects' gaze. The results indicate that variances in gaze direction tended to be lower for scenes for which the subjects had better comprehension. The tendency was further noticeable after keywords were uttered that were related to the answers of correponding questions. A gaze-model-estimation method and the theretical accuracy are also described in the paper.