Royston had a population of 2,649. The median age was 40.3 years. 24.5% of residents were under the age of 18 and 20.3% of residents were 65 years of age or older. For every 100 females there were 82.7 males, and for every 100 females age 18 and over there were 77.1 males age 18 and over.

0.0% of residents lived in urban areas, while 100.0% lived in rural areas.

There were 1,118 households in Royston, of which 31.4% had children under the age of 18 living in them. Of all households, 30.1% were married-couple households, 20.3%

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