As of the census of 2000, there were 5,120 people, 2,045 households, and 1,435 families residing in the county. The population density was 7 people per square mile (3/km2). There were 2,291 housing units at an average density of 3 per square mile (1/km2). The racial makeup of the county was 95.47% White, 0.10% Black or African American, 0.55% Native American, 0.12% Asian, 2.75% from other races, and 1.02% from two or more races. 6.31% of the population were Hispanic or Latino of any race.