About University of Tennessee, Knoxville. University of Tennessee, Knoxville in Knoxville, TN reports an overall acceptance rate of 41.6%, an early-round acceptance rate of 35.7%, an SAT middle 50% of 1210–1360, a class size of 6,846, and a yield of 28.0% based on the most recent Common Data Set filings. Tennessee's flagship with surging selectivity (42% acceptance rate, record applicants). Strong in supply chain, nuclear engineering, and business. SEC university with massive alumni network.