As of the census of 2000, there were 5,463 people, 1,988 households, and 1,457 families residing in the county. The population density was 8 people per square mile. There were 2,265 housing units at an average density of 3 per square mile. The racial makeup of the county was 83.01% White, 0.93% Black or African American, 0.93% Native American, 0.24% Asian, 0.02% Pacific Islander, 13.25% from other races, and 1.61% from two or more races. 21.73% of the population were Hispanic or Latino of any race. There were 1,988 households out of which 38.80% had children under the age of 18 living with them, 63.10% were married couplesliving together, 7.10% had a female householder with no husband present, and 26.70% were non-families. 24.30% of all households were made up of individuals and 12.10% had someone living alone who was 65 years of age or older. The average household size was 2.72 and the average family size was 3.27. In the county, the population was spread out with 31.20% under the age of 18, 8.30% from 18 to 24, 27.80% from 25 to 44, 19.40% from 45 to 64, and 13.30% who were 65 years of age or older. The median agewas 34 years. For every 100 females there were 95.30 males. For every 100 females age 18 and over, there were 92.50 males. The median income for a household in the county was $41,830, and the median income for a family was $49,063. Males had a median income of $36,525 versus $22,803 for females. The per capita income for the county was $17,814. About 8.30% of families and 10.30% of the population were below the poverty line, including 15.10% of those under age 18 and 4.70% of those age 65 or over.
Government
County
Stevens County is governed by the Stevens County Commissioners. The current members are Joe D. Thompson, Tron Stegman, and Pat Hall. They are elected from their respected districts, every Four years with one district up for election during midterms.
Presidential elections
Stevens County is overwhelmingly Republican. It has not been won by a Democrat at Presidential level since Lyndon Johnson won by fourteen votes in 1964. In fact, the last Democrat to crack thirty percent of the county's vote was Jimmy Carter in 1976, and since Carter only Michael Dukakis during the drought and farm crisis-influenced 1988 election has received so much as twenty percent.
Stevens County is divided into six townships. None of the cities within the county are considered governmentally independent, and all figures for the townships include those of the cities. In the following table, the population center is the largest city included in that township's population total, if it is of a significant size.