2020 census As of the
2020 census, Luverne had a population of 4,946. The median age was 41.2 years. 25.1% of residents were under the age of 18 and 24.2% of residents were 65 years of age or older. For every 100 females there were 91.7 males, and for every 100 females age 18 and over there were 88.2 males age 18 and over. 96.9% of residents lived in urban areas, while 3.1% lived in rural areas. There were 2,096 households in Luverne, of which 28.2% had children under the age of 18 living in them. Of all households, 44.8% were married-couple households, 18.0% were households with a male householder and no spouse or partner present, and 32.0% were households with a female householder and no spouse or partner present. About 37.3% of all households were made up of individuals and 20.0% had someone living alone who was 65 years of age or older. 4,745 people, 2,048 households, and 1,257 families were residing in the city. The
population density was . The 2,237 housing units had an average density of . The
racial makeup of the city was 96.3% White, 0.8% African American, 0.2% Native American, 0.6% Asian, 0.4% from other races, and 1.6% from two or more races. Hispanics or Latinos of any race were 2.7% of the population. Of the 2,048 households, 27.7% had children under 18 living with them, 49.0% were married couples living together, 9.1% had a female householder with no husband present, 3.3% had a male householder with no wife present, and 38.6% were not families. About 35.8% of all households were made up of individuals, and 19% had someone living alone who was 65 or older. The average household size was 2.23 and the average family size was 2.89. The median age in the city was 42.1 years; 24.4% of residents were under 18; 6.4% were 18 to 24; 22% were 25 to 44; 24.3% were 45 to 64; and 23% were 65 or older. The gender makeup of the city was 46.8% male and 53.2% female.
2000 census As of the 2000
census, 4,617 people, 1,968 households, and 1,247 families residing in the city. The population density was . The 2,161 housing units had an average density of . The racial makeup of the city was 97.27% White, 0.67% African American, 0.32% Native American, 0.58% Asian, 0.58% from other races, and 0.56% from two or more races. Hispanics or Latinos of any race were 1.56% of the population. Of the 1,968 households, 26.4% had children under 18 living with them, 53.8% were married couples living together, 7.3% had a female householder with no husband present, and 36.6% were not families. Around 33.9% of all households were made up of individuals, and 21.2% had someone living alone who was 65 or older. The average household size was 2.25 and the average family size was 2.90. In the city, the age distribution was 23.8% under 18, 6.9% from 18 to 24, 22.3% from 25 to 44, 20.6% from 45 to 64, and 26.4% who were 65 or older. The median age was 43 years. For every 100 females, there were 89.4 males. For every 100 females 18 and over, there were 83.5 males The median income for a household in the city was $36,271 and for a family was $46,745. Males had a median income of $30,549 versus $22,660 for females. The
per capita income for the city was $18,692. About 5.7% of families and 8.8% of the population were below the
poverty line, including 7.1% of those under 18 and 10.0% of those 65 or over. ==Government==