You have the Elias Sports Bureau to thank for all the fun baseball stats out there https://en.wikipedia.org/wiki/Elias_Sports_Bureau

Definitely. I have no experience in live game statistics, but from my sports content experience I bet there's data scientists and applications behind the scenes that specifically pull this data to be read on-air.

I imagine the primary customers of the data feeds are gambling companies who let people bet on matches that are in progress.