According to the 2010 United States Census, Carmel had a population of 3,722 people with a breakdown of about 3,445 people per square mile. 100 percent of the population lived in households.
Of those households, 12.1% had children under the age of 18 living within them. 39.7% were built up of opposite-sex married couples, 6.6% had a female head-of-house, and 2.4% had a male head-of-house without a partner. 3.9% of the households had unmarried opposite-sex couples, and 1% had same-sex married couples. 44.6% of households were individual people, and 22.5% had a resident aged 65 years or older. The average household size in 2010 was 1.78. The average family size was 2.39.
10.2% of Carmel residents were under the age of 18, 2.1% were between 18 and 24 years old, 14.6% were between 25 and 44 years old, 36.4% were between 45 and 64, and 35.7% were 65 years or older. The median age in Carmel was 59.2 years old.
The racial build up of Carmel was as follows: 93.1% white, 4.7% Hispanic or Latino, 3% Asian, .3% black, .2% Native American, and .2% Pacific Islander. 2.1% of Carmel residents identify as two or more races, and 1.2% identify as an “other” race.