About Barnard College. Barnard College in New York, NY reports an overall acceptance rate of 8.8%, an early-round acceptance rate of 24.0%, an SAT middle 50% of 1480–1540, a class size of 719, and a yield of 69.0% based on the most recent Common Data Set filings. Premier women's college affiliated with Columbia University. Students can cross-register at Columbia and access shared campus resources while benefiting from small-college community.