GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

The value of the function $\mathit{f}\left(\mathit{x}\right)$ is given at $\mathit{n}$ distinct values of $\mathit{x}$ and its value is to be interpolated at the point ${\mathit{x}}^{*}$ using all the $\mathit{n}$ points. The estimate is obtained first by the Lagrange polynomial, denoted by ${\mathit{I}}_{\mathit{L}}$, and then by the Newton polynomial, denoted by ${\mathit{I}}_{\mathit{N}}$.
Which one of the following statements is correct?