The greatest average rate of change in population occurred over the period from 1850 to 1910, with an average rate of change of approximately 487.18.
How to determine over which period of time the average rate of change in population was the greatest
To determine over which period of time the average rate of change in population was the greatest, calculate the average rate of change for each period and compare them.
The average rate of change can be calculated by dividing the change in population by the number of years in the period.
Let's calculate the average rate of change for each period:
1850 to 1910:
Population change = 29,860 - 629 = 29,231
Years = 1910 - 1850 = 60
Average rate of change = Population change / Years = 29,231 / 60 ≈ 487.18
1990 to 2010:
Population change = 790,390 - 494,290 = 296,100
Years = 2010 - 1990 = 20
Average rate of change = Population change / Years = 296,100 / 20 = 14,805
1950 to 1970:
Population change = 251,808 - 132,459 = 119,349
Years = 1970 - 1950 = 20
Average rate of change = Population change / Years = 119,349 / 20 = 5,967.45
1890 to 1970:
Population change = 251,808 - 14,575 = 237,233
Years = 1970 - 1890 = 80
Average rate of change = Population change / Years = 237,233 / 80 = 2,965.41
Based on the calculations, the greatest average rate of change in population occurred over the period from 1850 to 1910, with an average rate of change of approximately 487.18. Therefore, the answer is "1850 to 1910."