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===2020 census=== The [[2020 United States census]]<ref>{{Cite web |title=Explore Census Data |url=https://data.census.gov| access-date=2023-08-16 |website=data.census.gov}}</ref> counted 5,788 people, 1,896 households, and 1,229 families in Ulysses. The population density was {{convert|1,792.0|PD/sqmi|PD/km2|sp=us|adj=off}}. There were 2,163 housing units at an average density of {{convert|669.7|/sqmi|/km2|sp=us|adj=off}}. The racial makeup was 53.89% (3,119) [[White (U.S. Census)|white]], 0.14% (8) [[African American (U.S. Census)|black or African-American]], 1.97% (114) [[Native American (U.S. Census)|Native American]], 0.21% (12) [[Asian (U.S. Census)|Asian]], 0.07% (4) [[Pacific Islander (U.S. Census)|Pacific Islander]], 23.13% (1,339) from [[Race (United States Census)|other races]], and 20.59% (1,192) from two or more races. [[Hispanic (U.S. Census)|Hispanic]] or [[Latino (U.S. Census)|Latino]] of any race was 51.1% (2,820) of the population. Of the 1,896 households, 30.1% had children under the age of 18; 53.2% were married couples living together; 26.8% had a female householder with no husband present. 29.6% of households consisted of individuals and 6.4% had someone living alone who was 65 years of age or older. The average household size was 2.9 and the average family size was 3.7. 29.8% of the population was under the age of 18, 9.0% from 18 to 24, 22.8% from 25 to 44, 19.9% from 45 to 64, and 13.9% who were 65 years of age or older. The median age was 31.7 years. For every 100 females, the population had 108.1 males. For every 100 females ages 18 and older, there were 102.2 males. The Census Bureau's 2020 5-year American Community Survey<ref>{{Cite web |title=Explore Census Data |url=https://data.census.gov|access-date=2023-08-15|website=data.census.gov}}</ref> showed that the median household income was $51,370 (with a margin of error of +/- $3,714) and the median family income $74,519 (+/- $39,983). Males had a median income of $50,596 (+/- $3,885) versus $25,880 (+/- $6,547) for females. The median income for those above 16 years old was $42,564 (+/- $13,512). Approximately, 4.2% of families and 14.3% of the population were below the [[poverty line]], including 15.6% of those under the age of 18 and 7.0% of those ages 65 or over.
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