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Evensville is located in Rhea County, Tennessee. There are roughly 3,654 residents, living in 1,397 households. The average temperature for Evensville this time of the year is low of 45F and high of 71F. On average, Evensville gets about 4.71 inches of precipitation in April. Most residents are home owners (80%), have a high school diploma (66%) and are married, no kids (37%).