 Under the Köppen climate classification, Centerville's climate may be described as Mediterranean ("Csa") or humid continental ("Dsa") depending on which variant of the system is used.As of the census of 2000, there were 14,585 people, 4,138 households, and 3,546 families residing in the city.The population density was 2,415.8 people per square mile (932.3/km2).