【Answer】35 points.
【Analysis】Key point: Maximum and minimum value problem, average number problem
Think Academy corresponding lecture: Grade 3 Fall Class Average Number Problem (Lecture 5)
To achieve the lowest score in one attempt, the scores in the other attempts should be the highest, i.e., 100 points. The maximum number of times you can score 100 is 4, at which point the score in the 5th attempt is the lowest, and the lowest score is: $87 \times 5 - 100 \times 4 = 35$ (points).
17. In a game with a full score of 100 points, each person can play five times, and the average score is the game's result. Xiao Wang's average score is 87 points, so his score in any single game cannot be lower than ( ) points.