I am 33 years old and graduated in 2006 from college with a degree in analytic philosophy. For a long time I thought that I was going to get a phd in phil and teach but that dream is long gone, and I am intent on having a career in data science/analysis.  I do have a history in mathematics; I finished calculus 3 in high school and finished a set theory course in college as well as advanced logic courses (symbolic, modal, predicate, etc), but I have never studied how to code, nor have I taken any statistics courses.Are there any suggestions on how to best proceed?  I of course want to be as attractive to employers as possible.  I have no debt or family and am open and willing to take multiple years (and take on loans) studying for this profession.  Would getting a math degree (with an emphasis in statistics and taking courses like linear algebra) be the right (or at least, good) way to go?  A local university offers a concentration in data science within the mathematics department, so I could do that as well. And in addition, taking courses in computer science to learn how to code?  Basically I'm looking to push a reset button (well not entirely since I have a background in mathematics, and I believe my background in philosophy will help too) on my career path and will do whatever it takes.  I want a career with a future and with hopefully opportunity to choose where I work (city), and a career that fits with how my mind works (I believe I could thrive in this field).  Jobs that I have had since college will not help in any way towards future jobs in this field, so I will be fully leaning on future classes/preparation.Thanks in advance and for reading this partial ramble!  I'm motivated but don't know exactly what I should do.  I realize that there are many paths people take to get into this profession but would love advice for someone like me in my situation.
Advice on how to get started for someone a bit later in life?
statistics;data;beginner;career