Newton's backward interpolation formula can be used to interpolate values of a dependent variable from a set of known data points. The formula represents the numerical data as a polynomial curve. As an example, the formula is applied to data on India's total population over time to compute the population at an interval not in the original data. Specifically, the formula is used to calculate the population in year 9, extrapolating from the known data. The result is a population value of 31.25 according to the Newton's backward interpolation formula.