Given the dataset: -3, 7, 12, 39, 73, 84, 88, 88, 98, 132, 152, 159, 167, 169, 182, 689

Suppose we smooth the data by the bin means.

(a) Perform equal width binning with bin-width fixed to w = 173. Plot the histogram. (b) Perform equal depth binning with the same number of intervals N in (a). Plot the histogram.

(c)transform the data by (i) z-score normalization, (ii) min-max normalization with [u, l] = [4, 2] and (iii) decimal scaling.