As of the 2000 United States Census, there were 6,339 people, 2,413 households, and 1,705 families in the county. The population density was 13 people per square mile (5/km2). There were 2,673 housing units at an average density of 6 per square mile (2/km2). The racial makeup of the county was 94.64% White, 0.03% Black or African American, 0.49% Native American, 0.27% Asian, 3.79% from other races, and 0.79% from two or more races. 5.49% of the population were Hispanic or Latino of any race. 45.5% were of German, 10.4% Irish, 8.5% Swedish, 5.9% American, 5.9% Norwegian and 5.1% English.