In this set of data, 1.5 1 appears five times, so the mode of this set of data is1.51; In my opinion, we can choose the number of people whose height is 1.5 1 m and the number of people whose height is close to 1.5 1 m, so it is more appropriate for the players to be in the range of 1.48 ~ 1.52 m, because they are participating in the team competition.

So the answer is: 1.48 ~ 1.52, mode.