At the 2000 census there were 7,226 people, 3,029 households, and 2,083 families residing in the county. The population density was 2 people per square mile (1/km2). There were 3,900 housing units at an average density of 1 per square mile (0/km2). The racial makup of the county was 96.50% White, 0.03% Black or African American, 0.71% Native American, 0.24% Asian, 0.04% Pacific Islander, 0.95% from other races, and 1.54% from two or more races. 1.73%. were Hispanic or Latino of any race. 21.8% were of German, 15.7% American, 12.3% English and 11.8% Irish ancestry.