What files?
Maybe a bit of a history... many years ago, Jumpshot was a company Avast acquired; the company's product was a linux-based bootable CD, a system optimization tool (see e.g.
here). Parts of the code have been merged into Avast source code, and part of that remains there even today. The bootable CD product itself didn't really make it... and years later, the catchy name (and domain) "Jumpshot" was repurposed for something completely unrelated - an analytics company/spin-off; that's the Jumpshot you are referring to.
So, if you mean Avast program files - yes, you can find some instances of the word "Jumpshot" there. However, it's the original Jumsphot, i.e. the cleanup-related code. It's got nothing to do with "Jumpshot" - analytics company (where the analytics was done on backends and there was very little code locally - i.e. that code was never part of Avast program files).