| Randolph - Population Characteristics | FIPS Code=17045 |
| 1970 | 1980 | 1990 | |
| Population Density (Persons per Square Mile) | 228.35 | 275.82 | 99.30 |
| Total Population | 3882 | 4689 | 4764 |
| Per Cent of Popualtion Born within Vermont | 67.57 | 63.66 | 56.20 |
| Number of Families | 927 | 1081 | 1149 |
| Per Cent of Population Aged 18 or Younger | 31.63 | 27.53 | 23.97 |
| Per Cent of Population Aged 18 to 64 | 54.64 | 59.70 | 62.01 |
| Per Cent of Population Aged 65 or Older | 13.73 | 12.77 | 14.02 |