>>11908442I would say this at a really high level because it's a large field, but a data scientist should be creating models that answer questions or generates some type of predictions that solves a business problem. A lot of statistics and machine learning is involved. It's important that they are coming up with appropriate hypotheses and questions, feature engineering, and being able to evaluate model accuracy, and compare models. The most important part i would say is being able to convince the business your model is good. The building part is the easy part.
For your second question, depends on your definition of advanced math. I would say you need understand: probability & statistics, calc 1,2,3, and linear algebra at the minimum. Currently I am doing my masters in DS and studying numerical linear algebra and linear optimization as part of my studies. I dont think most folks on /sci/ would consider this advanced.
If you are interested in the field beware of any postings that say SQL! And beware of bullshitters who are actual analysts because there are a ton.