Also how are tutorials generally operated for maths and stats? Does everyone do their own work in tutorials, and tutor go around and help them if asked, something like that? I had a tutorial like that the other day.
For maths, the tutorials were board tutorials, where students get into groups of no more than 4 and work together with a whiteboard, and the tutor is there to help you if you need (you probable already have these). Everyone's tutorial experiences vary, but I found board tutorials to be useful; I consistently got into excellent groups (partially because the advanced maths/SSP cohort is somewhat close-knitted), and we'd spend most of our time on questions that were confusing or challenging, so I definitely learn things in maths tutorials. I haven't had a maths tutorial where everyone does their own work yet (though you can choose to do so if you wish).
The MATH1905 tutorial was actually in a computer lab, though honestly you're just doing your individual work and using the computer as a calculator. Fairly sure this applies to MATH1005 too. It really depends on your tutor; for the first 3-4 weeks we had the lecturer, and the tutorials didn't really have much structure to it, other than ask for help if you need it. However, we had a change of tutor, and the second tutor was really great; he'd spend about the first 15-20 minutes going through the relevant theory, which we found to be pretty useful. So it really depends on your tutor.
STAT2911 is a unique experience though. We have a tutorial and a lab each week. The tutorial is run by the lecturer, and basically we have to do the tutorial questions before the tutorial, and the lecturer goes through the questions and we have to mark each other's work according to the guidelines. He also records the marks for each tutorial (it doesn't contribute to your final mark, but it apparently he uses it as a criteria to see whether students who apply for special considerations try). The tutorials are pretty helpful, given that this is not an easy course, and the peer-marking helps motivate doing the work (which isn't too much, since we have to go over all of it during the tutorial). The computer lab sessions are used to compliment the weekly computer assignments. I haven't found it to be as useful as the tutorial, since it's easy to just finish the report at home. Free printing though! Not sure if the tutorial aspect of STAT2911 applies to STAT2011, since the former is a smaller course so the lecturer can take a more hands-on approach.
Yeah having a look at the handbook, maths provides more offerings in terms of various topics. There are definitely some interesting diverse topics like DEs (MATH2065?) and a bit of Graph Theory. Both Maths and Stats are of interest to me - I want to work in a data related career (like analytics) after I finish uni, so that's why I chose stats. I don't know, I'll still have a think about it.
Data analysis/science is a good career to pursue, and a good mix of statistics, mathematics and computer science, and a major in one of them should be fine.
If you have a spare unit, and want it to be an easy, WAM-boosting and relevant course, consider taking COSC1003 Computational Science (semester 2). It's a fun unit which revolves around using MATLAB to solve various mathematical and scientific problems. The cohort is usually fairly small and the lecturer is a great guy. You go touch a lot of different topics, so it never gets boring, plus the assessments are marked quite leniently.
Good luck man!