Amidon was founded in 1910 at the anticipated terminus of a Milwaukee Roadbranch line that diverged from the railroad's Pacific Extension in McLaughlin, South Dakota. The line was ultimately never built farther west of New England, North Dakota, making Amidon one of the few surviving North Dakota cities never to have been served by a rail line. It was also the very last county seat in the state to get electricity when Slope Electric Cooperative extended their distribution lines into Amidon in 1950. In 2013/2014, a new bar was built. In 2018, it was reported that Georgia's and The Owl, the only family restaurant in town, had likely closed. It was also reported that the Post Office had closed.
Geography
Amidon is located at . According to the United States Census Bureau, the city has a total area of, all of it land.
As of the census of 2010, there were 20 people, 11 households, and 7 families residing in the city. The population density was. There were 17 housing units at an average density of. The racial makeup of the city was 100.0% White. There were 11 households, of which 9.1% had children under the age of 18 living with them, 63.6% were married couplesliving together, and 36.4% were non-families. 36.4% of all households were made up of individuals, and 27.3% had someone living alone who was 65 years of age or older. The average household size was 1.82 and the average family size was 2.29. The median age in the city was 64 years. 10% of residents were under the age of 18; 0.0% were between the ages of 18 and 24; 15% were from 25 to 44; 25% were from 45 to 64; and 50% were 65 years of age or older. The gender makeup of the city was 50.0% male and 50.0% female.
2000 census
As of the census of 2000, there were 26 people, 14 households, and 9 families residing in the city. The population density was 41.2 people per square mile. There were 17 housing units at an average density of 26.9 per square mile. The racial makeup of the city was 100.00% White. There were 14 households, out of which 14.3% had children under the age of 18 living with them, 57.1% were married couples living together, 7.1% had a female householder with no husband present, and 35.7% were non-families. 35.7% of all households were made up of individuals, and 28.6% had someone living alone who was 65 years of age or older. The average household size was 1.86 and the average family size was 2.33. In the city, the population was spread out, with 15.4% under the age of 18, 19.2% from 25 to 44, 38.5% from 45 to 64, and 26.9% who were 65 years of age or older. The median age was 50 years. For every 100 females, there were 85.7 males. For every 100 females age 18 and over, there were 83.3 males. The median income for a household in the city was $27,188, and the median income for a family was $31,250. Males had a median income of $36,250 versus $16,250 for females. The per capita income for the city was $18,765. None of the population and none of the families were below the poverty line.
