GPA used in Common data set and in freshman profile of colleges

Yes, it’s college specific, and not all schools are transparent about what they use.

One of the “tells” though if a school is using weighted is if the reported GPA is above a 4.0.

Keep in mind that rigor will be assessed no matter how a school is reporting their GPA range. And that GPA averages could differ even within a university if students apply by major/college.

Purdue specifically uses UW: “For reporting purposes, we get our middle 50% GPA range by converting grades to an unweighted, 4.0 GPA”. Source: Freshman Class Profile - Undergraduate Admissions - Purdue University.