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# HW-2 - Problem 3.3 The age values for the data tuples...

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Problem 3.3: The age values for the data tuples are (in increasing order): 13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45, 46, 52, 70. Solution (a): With a bin depth of 3 as given, we divide the data into the following bins: Bin 1: 13, 15, 16 Bin 2: 16, 19, 20 Bin 3: 20, 21, 22 Bin 4: 22, 25, 25 Bin 5: 25, 25, 30 Bin 6: 33, 33, 35 Bin 7: 35, 35, 35 Bin 8: 36, 40, 45 Bin 9: 46, 52, 70 Smoothing by Bin Mean method: Bin 1: 15, 15, 15 Bin 2: 18, 18, 18 Bin 3: 21, 21, 21 Bin 4: 24, 24, 24 Bin 5: 27, 27, 27 Bin 6: 34, 34, 34 Bin 7: 35, 35, 35 Bin 8: 40, 40, 40 Bin 9: 56, 56, 56 Solution (b): After Bin Smoothing using the mean method: Minimum age value = 15, Maximum age value = 56. So the outliers will be the values deviating from this range, i.e. 70. Solution (c): Other methods of data smoothing: 1. Binning - Smoothing by Bin Median: Each bin value is replaced by the bin median. - Smoothing by Bin Boundaries: Each bin value is replaced by the closest boundary value. 2. Clustering: Similar values are organized into groups. Values that fall outside of the set of clusters may be considered outliers.

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