2020 census As of the
2020 census, Madison Center had a population of 2,250. The median age was 58.4 years. 13.9% of residents were under the age of 18 and 33.6% of residents were 65 years of age or older. For every 100 females there were 84.9 males, and for every 100 females age 18 and over there were 84.5 males age 18 and over. 100.0% of residents lived in urban areas, while 0.0% lived in rural areas. There were 1,142 households in Madison Center, of which 15.9% had children under the age of 18 living in them. Of all households, 44.3% were married-couple households, 19.6% were households with a male householder and no spouse or partner present, and 31.9% were households with a female householder and no spouse or partner present. About 40.7% of all households were made up of individuals and 24.3% had someone living alone who was 65 years of age or older. There were 1,400 housing units, of which 18.4% were vacant. The homeowner vacancy rate was 1.0% and the rental vacancy rate was 7.9%. ==References==