Are there any good public universities in the UK that we could apply to for a Master's/MSc?

Yes, there are several strong public universities in the UK offering Master's programs in Business Analytics.

Based on your background, here are some options to consider:
- University of Southampton: MSc Business Analytics and Management Science; 1 year; industry placement opportunities.
- Lancaster University: MSc Business Analytics; 1 year; focus on analytical decision-making and industry-based dissertations.
- University of Exeter: MSc Business Analytics; 1 year; strong employability rankings.
- University of Glasgow: MSc Business Analytics; 1 year; covers data mining and machine learning.
- University of Bristol: MSc Business Analytics; 1 year; professionally accredited and focused on data-driven innovation.
- University of Kent, Loughborough University, Newcastle University, University of Greenwich, and University of Portsmouth also offer relevant 1-year programs with practical and industry-oriented curricula.

Program details, fees, and admission requirements are subject to change.