Hi @KatGorringe,

As far as I know, the quiz page itself does not show any data about other students.  If multiple attempts are enabled for the quiz, it will show the score for each of the attempts the student made.

The grades page does, by default, include statistics for each assignment (assignment, quiz, graded discussion, etc), which looks like this (this is from a fake quiz I created just for this post, not actual data):

If the teacher wants to shut that off, they can visit the course settings page, and enable the "Hide grade distribution graphs from students" option, which is found towards the bottom of the page.  Note that this will disable that feature for all assignments, there is not an individual assignment-level control for this.

I hope this helps!

-Chris