According to theUnited States Census Bureau, the county has a total area of 2,062 square miles (5,340 km2), of which 2,049 square miles (5,310 km2) is land and 13 square miles (34 km2) (0.6%) is water.[7]
As of the2010 census, there were 10,078 people, 4,571 households, and 2,884 families living in the county. The population density was 4.9 inhabitants per square mile (1.9/km2). There were 6,441 housing units at an average density of 3.1 units per square mile (1.2 units/km2). The racial makeup of the county was 97.2% white, 0.8% American Indian, 0.3% black or African American, 0.2% Asian, 0.4% from other races, and 1.0% from two or more races. Those of Hispanic or Latino origin made up 1.9% of the population. In terms of ancestry, 32.3% wereGerman, 16.2% wereIrish, 14.5% wereEnglish, 12.6% wereAmerican, and 6.6% wereNorwegian.
Of the 4,571 households, 23.6% had children under the age of 18 living with them, 53.4% were married couples living together, 6.1% had a female householder with no husband present, 36.9% were non-families, and 31.2% of all households were made up of individuals. The average household size was 2.19 and the average family size was 2.74. The median age was 48.1 years.
The median income for a household in the county was $49,010 and the median income for a family was $59,823. Males had a median income of $41,241 versus $26,150 for females. The per capita income for the county was $24,983. About 8.1% of families and 12.2% of the population were below thepoverty line, including 14.1% of those under age 18 and 11.1% of those age 65 or over.
During the early history of Carbon County,coal mining was the predominant industry. The current economy relies on agriculture, recreation, and tourism.[16]
In 2009 the top employers were Beartooth Hospital & Health Center,Red Lodge Mountain, and the Red Lodge Pizza Company.[16]
In December 2014, construction began on a largewindfarm, Mud Springs Wind Ranch, with 120wind turbines, 12 miles (19 km) southeast ofBridger.[17]