What is the difference between an MBA in Business Analytics and an MS in Data Science ?

A difference in approach, I believe. Both fields are contingent upon the analysis of big data. While the MBA course focuses more on analyzing and interpreting conclusions from big data, the MS course is more inclined towards developing methods to break down big data in to smaller clusters through programming techniques. Each course focuses on the inherent theme of its industry. The MS course focuses on the technical aspects of big data while the MBA course is more concerned with the interpretative aspects.