I work in data analytics in the food industry. So, probably a bit different from the experience listed above.
A critical piece of data analytics, at least in the food industry, is being able to communicate what you see in the data to the average person. I know many people that are experts with manipulating data but lack the ability to explain in simple terms why something is happening and what action should be taken.
In the food industry, you can definitely get into data analytics without a relevant degree. But, you'll need to have some kind of relevant industry experience and having a bachelors degree in some/any field is important. For example, you could have a degree in Business Management, which would get you a start in a company, work in sales or marketing for a couple of years, and then move over into analytics.
If you are good at it, it pays well and definitely has room for advancement.