Stoutsville is a village in Monroe County, Missouri, United States. The population was 36 at the 2010 census.HistoryStoutsville was platted in 1871, and named after the family of Robert P. Stout, the original owners of the town site. A post office called Stoutsville has been in operation since 1872.GeographyStoutsville is located at .According to the United States Census Bureau, the village has a total area of 0.82sqmi, of which, 0.81sqmi of it is land and 0.01sqmi is water.Demographics2010 censusAs of the census of 2010, there were 36 people, 16 households, and 14 families residing in the village. The population density was 44.4PD/sqmi. There were 34 housing units at an average density of 42.0/sqmi. The racial makeup of the village was 94.4% White and 5.6% from two or more races. Hispanic or Latino of any race were 2.8% of the population.There were 16 households of which 31.3% had children under the age of 18 living with them, 81.3% were married couples living together, 6.3% had a female householder with no husband present, and 12.5% were non-families. 12.5% of all households were made up of individuals. The average household size was 2.25 and the average family size was 2.43.