As you know that post graduation is mainly for teaching. Before to tech in a college you need to fight net exam if you go with Msc but in case of mba their is a lots of scope but all depends on your ability. Mba have a great future in managing department. So according to your need you can go with your choice.

Hey,
First off you need to be sure of your calling.
Switching to MBA would entirely change your stream.MBA is indeed a great option if you want to explore all fields of Business such as finance,marketing and human resources etcetera.MBA provides you with well-settled career options and making it to different IIMs which is the  best place to pursue your MBA from,is
great in itself.
Now coming to Masters in Statistics,I would suggest go for it only if you are really passionate to explore and research in this field.There are career options in the field of Statistics like Data Analytics,Digital Forensics,Market Research,Government Statistician.
Hope this helps.