Suppose Xiaoming's score is 96, then the average score is: (9 1+96+96)÷3,

=283÷3,

≈94.3 (points),

Suppose Xiaoming scored 98 points for the third time, then the average score is: (9 1+96+98)÷3,

=285÷3,

=95 (minutes),

So Xiao Ming's average score of these three times is between 94.3 and 95.

Therefore, choose: B.