2020 census As of the
2020 census, Broken Bow had a population of 4,228. The median age was 34.0 years; 29.0% of residents were under the age of 18, and 15.9% of residents were 65 years of age or older. For every 100 females there were 90.4 males, and for every 100 females age 18 and over there were 82.4 males age 18 and over. Less than 0.1% of residents lived in urban areas, while 100.0% lived in rural areas. There were 1,608 households in Broken Bow, of which 37.0% had children under the age of 18 living in them. Of all households, 35.8% were married-couple households, 16.9% were households with a male householder and no spouse or partner present, and 38.7% were households with a female householder and no spouse or partner present. About 31.5% of all households were made up of individuals and 14.5% had someone living alone who was 65 years of age or older. There were 1,762 housing units, of which 8.7% were vacant. Among occupied housing units, 48.8% were owner-occupied and 51.2% were renter-occupied. The homeowner vacancy rate was 1.2% and the rental vacancy rate was 6.3%.
2010 census As of the 2010 census, there were 4,120 people, 1,599 households, and 1,036 families residing in the city. The population density was . There were 1,793 housing units at an average density of . There were 1,599 households, out of which 31.5% had children under the age of 18 living with them, 35.8% were
married couples living together, 23.2% had a female householder with no husband present, and 35.2% were non-families. 32.5% of all households were made up of individuals, and 15.0% had someone living alone who was 65 years of age or older. The average household size was 2.51, and the average family size was 3.17. In the city, the population was spread out, with 29.9% under the age of 18, 54.2% from 18–64, and 15.9% who were 65 years of age or older. The median age was 35.3 years. Males made up 46.2% of the population, while females made up 53.8%. The median income for a household in the city was $19,350, and the median income for a family was $22,500. Males had a median income of $32,2608 versus $20,895 for females. The
per capita income for the city was $14,381. About 36.6% of families and 46.9% of the population were below the
poverty line, including 46.9% of those under age 18 and 31.8% of those age 65 or over. ==Economy==