Distance/Correspondence

Yes, you can go ahead with statistics. If you are a working professional in the field related to statistics. M.Sc in statistics will give you an extra edge in the professional world. Statistics and its application with modern tools and technique is of high demand and used everywhere like - production, marketing, sales etc. Statistical analysis is an inevitable part to control and guide for the business growth.
So, I think you are rightly thinking of Statistics. As you are thinking for distance mode of study - you may think for a course titled 'Post Graduate Diploma in Applied Statistics' offered by IGNOU.
However, go ahead based on your best interest.

Master of Science in Statistics or M.Sc. Statistics is a 3-year postgraduate course, the minimum eligibility for admission to which is completion of B.A. (Honors)/ B.Sc. (Honors) in Statistics or Mathematics, or graduation in a related discipline from a recognised university.
M.Sc Statistics: Who should opt? Ideal candidates of the course should be able to:
Apply Mathematics and Statistics to help develop solutions to practical problem.
Follow complex mathematical and statistical arguments and develop brief arguments of their own.
Operate mathematical and statistical computer software packages.
Find, extract, and analyze data from varied sources.
Communicate mathematical and statistical information effectively to generate feasible results.
Demonstrate sufficient organizational skills.
Eligibility for M.Sc. Statistics:
Candidates aspiring to pursue M.Sc. Statistics need to fulfil the below-mentioned eligibility criterion.
Completion of B.A. (Honors)/ B.Sc. (Honors) in Statistics or Mathematics or graduation in a related discipline from a recognised institute
Mathematics and Statistics as main subjects at the level of graduation
Minimum aggregate score of 60% at the level of graduation
Hope this helps. Regards.

All programs of SMU-DE are duly recognised by the University Grants Commission (UGC) and Distance Education Board (DEB).
Over five Lacs students have graduated from SMU-DE, benefitting from the experience of core faculty and support of our personal academic advisors. Students also learn at their convenience with the SMU-DE app.
students are employed in both private and public sector undertakings across a wide range of business verticals, including telecom, manufacturing, software, IT, automobiles and bankinThe winner of several awards, including Most preferred distance education university among students, SMU-DE has helped a number of working professionals from leading corporates such as TCS, Infosys, HCL, Airtel to realise their career dreams through these conveniently delivered programs.
The Directorate of Distance Education SMU offers MBA with various specialisation and its fee structure is Semester Fee: Rs. 17,000/-Exam Fee: Rs. 2,300/- (As revised from time to time)
Students can pay their whole course amount collectively or annually. For more details, please check the official website of the university or contact the admission cell.
The IMT Centre for Distance Learning offers one MBA equivalent programme to its students. It is a two-year PGDM. Its comprised of four semesters of classes, and it revolves around fifteen core components, four elective courses, and a final project to complete the MBA.
The fee structure of IMT Ghaziabad distance MBA is simple. During all four semesters, the costs are the same. Each semester consists of 22,000 for academic fees combined with the reading materials fee of 2500.
Another fee of 500 is added for library access, and the total cost in exams is an additional 500. This creates a total price of 27,500 for each semester.
This is one college whose distance programme are accredited by UGC.
As per my point of view I'll choose SMU over IMT because of good Placements and recognition.

You can pursue B.Ed from IGNOU. To apply for the same, you need to have a Bachelor's degree or a higher degree from any recognised university. Two years' full-time teaching experience on a temporary/permanent basis as Primary/Graduate/Post Graduate teacher in a primary, secondary/higher/senior secondary school recognised by the central or a state government or a union territory. The teacher should be in service at the time of submitting the application form as well as at the time of producing the original documents at the regional centre. The experience certificate should be issued by the Principal or Headmaster/Headmistress.
Admission will be done Regional Centre-wise on the basis of the score obtained in the entrance test conducted by IGNOU all over India.
The candidate will be required to submit only the filled-in application form without enclosures.