The question asks us to identify the state of the dependency ratio from 1971 to 2001 based on the information provided in the figure. The dependency ratio is the ratio of the population at working age (15-64 years) to the population outside the working age range (under 15 years and over 64 years).

Looking at the figures, we can see that the proportion of the population in the 0-14 years age group, which represents the population under 15 years, shows a slight decrease from 4.2% in 1971 to 3.5% in 2001. Therefore, the proportion of the dependent population has decreased.

The proportion of the population in the 65 years and above age group, which represents the population over 64 years, shows an increase from 5.97% in 1971 to 7.47% in 2001. This indicates an increase in the proportion of the dependent population.

Based on these changes, we can conclude that the state of the dependency ratio from 1971 to 2001 has a fluctuating tendency. The proportion of the dependent population has decreased slightly in the younger age group, but increased in the older age group. Therefore, option 4 "It has fluct