The invention belongs to the technical field of teaching instruments, in particular to a mathematical statistical distribution demonstration system, which comprises a shell, wherein the inner part ofthe shell is provided with a support frame, the outer sides of a slide block and fixing block are connected with a sliding groove, and the bottom end of the lower shell of a first ball groove is fixedly connected with a reaction column, and the inner part of the reaction column is provided with a second ball groove, the bottom end of the lower shell of the reaction column is fixedly connected witha base, and the inner part of the base is rotatably connected with a ball box, the original structure is improved, through the slide block and the sliding groove, the height of the support frame is adjusted, the ball is placed at different heights, the motion tracks of the ball falling at different heights are recorded, which is interesting, the shell is made of a clear plastic material, so the number of balls can be directly observed. A manual switch structure is arranged, the number and speed of the ball falling can be controlled, single ball falling demonstration can be carried out, the ball box passes through the telescopic structure, the ball in a second ball groove is taken out and placed into the ball box, the system is simple and convenient, the space is saved.