Yes I'll enlist down some of the renowned colleges for Msc statistics in India -

1. Bangalore University
2. Presidency college
3. University of Madras
4. Alligarh Muslim Univsersity
5. Allahabad University
6. Bharatihar University
7. University of Delhi

For being eligible to do Msc statistics, you need to hold a bachelor's degree in BSC(honors) or BA(honors) in statistics of mathematics.

There are few steps to get MSC statistics degree-

1. Eligibility - You should have bachelors in Mathematics or Statistics
2. Entrance Exam- for IITs - IIT JAM, ISI/DU/MSE/etc have their own entrance exam.

Best wishes. Thank you.