Ouray County /ˈjʊəreɪ/ is one of the 64 counties of the U.S. state of Colorado. As of the 2010 census, the population was 4,436. The county seat is Ouray. Because of its rugged mountain topography, Ouray County is also known as the Switzerland of America.
According to the U.S. Census Bureau, the county has a total area of 542 square miles (1,400 km), of which 542 square miles (1,400 km) is land and 0.6 square miles (1.6 km) (0.1%) is water. The highest mountain in Ouray County is Mount Sneffels at 14,150 feet above sea level. Many high peaks of more than 13,300 feet also exist. Other prominent features in Ouray County include Log Hill Mesa and Pleasant Valley.
As of the census of 2000, there were 3,742 people, 1,576 households, and 1,123 families residing in the county. The population density was 7 people per square mile (3/km²). There were 2,146 housing units at an average density of 4 per square mile (2/km²). The racial makeup of the county was 96.34% White, 0.08% Black or African American, 0.94% Native American, 0.35% Asian, 0.05% Pacific Islander, 0.53% from other races, and 1.71% from two or more races. 4.06% of the population were Hispanic or Latino of any race.
There were 1,576 households out of which 28.60% had children under the age of 18 living with them, 61.40% were married couples living together, 6.50% had a female householder with no husband present, and 28.70% were non-families. 23.50% of all households were made up of individuals and 5.50% had someone living alone who was 65 years of age or older. The average household size was 2.36 and the average family size was 2.77.
In the county, the population was spread out with 22.50% under the age of 18, 4.10% from 18 to 24, 27.20% from 25 to 44, 34.10% from 45 to 64, and 12.20% who were 65 years of age or older. The median age was 43 years. For every 100 females there were 102.10 males. For every 100 females age 18 and over, there were 100.80 males.
The median income for a household in the county was $42,019, and the median income for a family was $49,776. Males had a median income of $35,141 versus $26,176 for females. The per capita income for the county was $24,335. About 6.00% of families and 7.20% of the population were below the poverty line, including 8.00% of those under age 18 and 2.90% of those age 65 or over.