the latter, 'might' be a challenge. I started looking into linkedin profiles of data scientists of top tech companies after I realized there were more wharton mba's as data scientists than there where people who mastered in CIS in my program.
So far, 50% had a masters/phd in statistics, 25% Information / Data Science, 25% business background. However, I am still looking into it as my sample is small and I have selection bias in my sampling.