For a given function f(x), the divided differences table is given by: xo = 0 f[xo] = 2 X1 = 1 f[x1] = 4 f[xo, x1] = 2 X2 =2 f[x2] = 3 f[x1,x2] = -1 f[xo, X1, x2] = -1.5 The approximation of f'(0.5) is:

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.