In 2000, there were 3,400 people, 1,077 households, and 774 families living in Lawrence. The people were 93.62% White, 1.12% African American, 0.74% Native American, 0.62% Asian, 0.06% Pacific Islander, 0.38% from other races, and 3.47% from two or more races. 1.62% of people were Hispanic or Latino.