MSc Statistics/Data Science after BSc Economics?

Hi there,
I'm a first year BSc Economics student at a good Russell group uni. Before coming to uni, I was between doing an economics degree and a mathematics degree, but ended up going with economics as I felt it could combine my interests in statistics, economics and politics. However, I've recently started thinking about what I actually want to do with my life after university, and I think I want to pursue something in stats/data science, as statistics has always been an interest of mine and I've also been interested in econometrics since starting uni. My question is, how likely is it that I would able to pursue an MSc in statistics or maybe data science after an economics degree?
Many thanks.

Just look at the entry requirements for MSc Statistics/Data Science courses at the sort of universities you think you might be interested in applying to. Beyond that, you'll also be able to find lots of people on LinkedIn from each MSc course, there you can take a look at their undergrad background.
Fwiw I know of some applied stats & data science courses which is more geared towards people who have a decent quantitative but non-stem background. I'd take a look at Exeter for example.

Thanks for the reply!
A lot of the entry requirements are quite vague. From what I've read they often require you to study some level of linear algebra, calculus, probability and statistics. I'm hoping most of these will be covered, as I'm studying advanced maths/statistics modules in the first year, and I'm planning on taking the more quantitative modules in the next two years, such as mathematical economics modules as well as a lot of econometrics. Just unsure of whether this will be enough to get me on courses compared to students with degrees in areas such as maths or physics. Wondering if maybe it might be worth trying to change to a maths degree, as even though I probably find economics more interesting overall, I'm wondering if maths may be more likely to take me on the career path I want?

It's a trade-off really. A statistics degree will undoubtedly be better prep for a good MSc data science degree and a career in data science. Whether it's worth the hassle and additional fees of starting a new degree for the third time, this is less clear and depends on your own preferences and the university you're at (and could potentially do a BSc stats degree at).
The MSc Data Science courses that are accessible from an economics undergrad are usually more conversion courses. And the courses at the top unis are unlikely to be accessible unless your undergrad economics degree is already from a very solid uni.