I believe the answer here is wrong

Hi
For this question, I think the answer is both equal because the interquartile range is 1 and range is 2 for a three-digit list.

What do you mean?

Are you referring to [1,2,3]? If so, then you get Q_3= 3 and Q_1 = 1. This leaves you with Q_3 - Q_1 = \operatorname{range} = 2