As of the 2010 United States Census, there were 1,937 people, 850 households, and 540 families in the county. The population density was . There were 1,013 housing units at an average density of . The racial makeup of the county was 94.7% white, 1.9% American Indian, 0.4% Asian, 0.2% black or African American, 0.1% Pacific islander, 0.2% from other races, and 2.6% from two or more races. Those of Hispanic or Latino origin made up 0.9% of the population. In terms of ancestry, 45.4% were German, 19.4% were Irish, 17.6% were Norwegian, 8.6% were English, 6.2% were Czech, 5.1% were Dutch, and 1.2% were American.