My brother is doing his PGDBA from IIT KGP and he was rather afraid of programming and coding when he started the course. If you're stuck in the same situation, then my only advice is to enroll in the course with an open mind and a desire to learn to program if you don't already know-how. 

Coding Experience: There is always a first time of everything. Now there are numerous MOOCs available online that can assist you in taking the initial step. The discipline of analytics (technical side) necessitates solid coding abilities, and therefore if you want to pursue a career in analytics, you should start learning the necessary skills now.

Work Experience: It is not necessary to have prior work experience to enroll in the course. However, relevant analytical experience aids in extracting greater value from the course. 

According to your assessment of your interests, you have a preference for fields involving mathematics and statistics. Analytical science is an excellent fit in that regard. I would recommend that you go into MOOCs like Coursera, audacity, and your willingness to learn more about this field. You will obtain a better understanding of the field and would be able to decide if this is a good fit for you or not.