A post office called Argyle has been in operation since 1904. Argyle was named after the region of Argyll, in Scotland. A variant name was "Campbell's Switch".
As of the census of 2010, there were 162 people, 75 households, and 42 families living in the village. The population density was. There were 81 housing units at an average density of. The racial makeup of the village was 100.0% White. Hispanic or Latino of any race were 0.6% of the population. There were 75 households, of which 18.7% had children under the age of 18 living with them, 49.3% were married couplesliving together, 1.3% had a female householder with no husband present, 5.3% had a male householder with no wife present, and 44.0% were non-families. 38.7% of all households were made up of individuals, and 18.6% had someone living alone who was 65 years of age or older. The average household size was 2.16 and the average family size was 2.93. The median age in the village was 42 years. 22.2% of residents were under the age of 18; 9.4% were between the ages of 18 and 24; 20.4% were from 25 to 44; 22.8% were from 45 to 64; and 25.3% were 65 years of age or older. The gender makeup of the village was 49.4% male and 50.6% female.
2000 census
As of the census of 2000, there were 164 people, 65 households, and 46 families living in the town. The population density was 409.2 people per square mile. There were 77 housing units at an average density of 192.1 per square mile. The racial makeup of the town was 100.00% White. There were 65 households, out of which 35.4% had children under the age of 18 living with them, 56.9% were married couples living together, 10.8% had a female householder with no husband present, and 27.7% were non-families. 27.7% of all households were made up of individuals, and 15.4% had someone living alone who was 65 years of age or older. The average household size was 2.52 and the average family size was 3.09. In the town the population was spread out, with 27.4% under the age of 18, 9.1% from 18 to 24, 26.8% from 25 to 44, 15.2% from 45 to 64, and 21.3% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 78.3 males. For every 100 females age 18 and over, there were 85.9 males. The median income for a household in the town was $23,750, and the median income for a family was $29,688. Males had a median income of $26,406 versus $22,813 for females. The per capita income for the town was $12,274. About 12.2% of families and 15.7% of the population were below the poverty line, including none of those under the age of eighteen and 17.6% of those 65 or over.
