 There were 4,138 housing units at an average density of 3 per square mile (1/km²).The racial makeup of the county was 87.61% White, 1.03% Asian, 0.66% Native American, 0.10% Black or African American, 0.07% Pacific Islander, 8.17% from other races, and 2.36% from two or more races.13.75% of the population were Hispanic or Latino of any race.