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Of course, its a good choice. You can also opt for MBA programmes. You must aim at M Phil /PhD after your M Sc for a career in academics. Opportunities exist in private and public sector as statisticians and analysts. A statistician may:
Consult in the design and analysis of clinical studies, evaluating new pharmaceutical agents;
Design experiments for agricultural, ecological, environmental, or energy-related studies;
Determine mortality, morbidity, and accident rates for an insurance company;
Serve as an opinion pollster for a public relations firm or a television network;
Develop theories of learning and behavior in conjunction with pyschologists;
Determine optimal combinations and evaluate performance of various chemicals in industrial setups;
Conduct reliability and quality control studies in various industries;
Develop econometrics, time series, and forcasting models for determining the cause and effects of various socio-economic variables on the society.

Dear SHrey,
Keeping in mind your home state category rank, you may get the below branches in Visvesvaraya National Institute of Technology, Nagpur
Metallurgical Engineering
Mining Engineering
(The above is as per last years cut offs and may vary this year)
Some of the other institutes that you might get are:
Lingaya's University, Faridabad
Amity University, Gurgaon
VELTECH Rangarajan Dr. Sagunthala, Chennai
Amity University, Lucknow
Techno Global University, Kolkata
Amity University, Gwalior
Shri Mata Vaishno Devi University, Udhampur
ITM University, Gwalior
Delhi Technical Campus, Bahadurgarh
(The above is as per last years cut offs and may vary this year)
For more refer to shiksha JEE Main college predictor
https://www.shiksha.com/jee-mains-college-predictor
Hope this helps.
Thanks
All The Best!

Dear Swamynadh,
Keeping in mind your JEE Main 2014 rank, you may get Mechanical in the following institutes
National Institute of Technology, Tiruchirappalli
National Institute of Technology, Warangal
National Institute of Technology, Surathkal
Motilal Nehru National Institute of Technology, Allahabad
National Institute of Technology, Calicut
National Institute of Technology, Rourkela
Motilal Nehru National Institute of Technology, Allahabad
Visvesvaraya National Institute of Technology, Nagpur
Malviya National Institute of Technology, Jaipur
National Institute of Technology, Kurukshetra
(The above is as per last years cut offs and may vary this year)
For more refer to shiksha JEE Main college predictor
https://www.shiksha.com/jee-mains-college-predictor
Hope this helps
Thanks
All The Best!