Apply lagrange interpolation to fit the given set of data points into a function...

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We need only the x and F columns to get the datapoints.

x₀=5, x₁=10, x₂=15, x₃=20, x₄=25, x₅=30,

F₀=3.0062, F₁=7.8762, F₂=9.3662, F₃=7.1012, F₄=5.2062, F₅=12.3062.

The polynomial F(x)=













Substituting x=12.5 and other x and F values, we can compute F(12.5)=








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