Doran is located at the junction of U.S. Route 75 and Minnesota State Highway 9.
There were 24 households out of which 33.3% had children under the age of 18 living with them, 54.2% were married couples living together, 4.2% had a female householder with no husband present, and 37.5% were non-families. 29.2% of all households were made up of individuals and 12.5% had someone living alone who was 65 years of age or older. The average household size was 2.46 and the average family size was 3.07.
In the city the population was spread out with 18.6% under the age of 18, 11.9% from 18 to 24, 33.9% from 25 to 44, 22.0% from 45 to 64, and 13.6% who were 65 years of age or older. The median age was 40 years. For every 100 females there were 96.7 males. For every 100 females age 18 and over, there were 108.7 males.
The median income for a household in the city was $26,250, and the median income for a family was $56,250. Males had a median income of $30,833 versus $23,750 for females. The per capita income for the city was $15,959. There were 12.5% of families and 15.5% of the population living below the poverty line, including no under eighteens and none of those over 64.