I would caution about characterizing the GPA of a “top private school” as an absolute - in theory a 3.65 seen in context could be compared to a 3.85 at another school.
However, the first decile of your class would be 13 students - and if those have wGPAs of 4.2 vs. your 3.85, then I suspect your class rank might have been below that of 90% of Barnard’s ED students.