About Southern Methodist University. Southern Methodist University in Dallas, TX reports an overall acceptance rate of 47.6%, an early-round acceptance rate of 87.0%, an SAT middle 50% of 1340–1480, a class size of 1,592, and a yield of 19.0% based on the most recent Common Data Set filings. Dallas-area private university with strong business (Cox), engineering, and data science programs. Now in the ACC. Test-optional through 2025 cycle.