As of the 2010 United States Census, there were 1,734 people, 774 households, and 514 families living in the county. The population density was , the 10th lowest in the United States. There were 1,008 housing units at an average density of . The racial makeup of the county was 98.0% white, 0.4% American Indian, 0.1% black or African American, 0.1% Asian, 0.1% from other races, and 1.2% from two or more races. Those of Hispanic or Latino origin made up 0.7% of the population. In terms of ancestry, 44.5% were German, 23.1% were Norwegian, 12.7% were American, 12.0% were Irish, and 8.8% were English.