As of the 2000 United States Census, there were 5,815 people, 2,406 households, and 1,592 families in the county. The population density was 7 people per square mile (3/km2). There were 2,724 housing units at an average density of 3 per square mile (1/km2). The racial makeup of the county was 98.54% White, 0.05% Black or African American, 0.40% Native American, 0.29% Asian, 0.19% from other races, and 0.53% from two or more races. 0.69% of the population were Hispanic or Latino of any race. 36.2% were of German, 22.5% Norwegian, 8.4% Danish, 7.0% American and 5.9% Irish ancestry.