Subject: Data Mining And Business Intelligence

Topic: Data Preprocessing

Difficulty: Medium

a) Smoothing by bin mean

b) Smoothing by bin median

c) Smoothing by bin boundaries

Data:11,13,13,15,15,16,19,20,20,20,21,21,22,23,24,30,40,45,45,45,71,72,73,75

divide the data into 4 equal-depth bins

bin 1:11,13,13,15,15,16

bin 2:9,20,20,20,21,21

bin3:22,23,24,30,40,45

bin4:,45,45,71,72,73,75

smoothing by means

bin 1-13.83,13.83,13.83,13.83,13.83,13.83

bin 2-20.16,20.16,20.16,20.16,20.16

bin 3-30.67,30.67,30.67,30.67,30.67,30.67

bin 4-63.5,63.5,63.5,63.5,63.5,63.5,63.5

smoothing by boundaries

bin 1:11,11,11,16,16,16

bin 2:19,19,19,21,21,21

bin3:22,22,22,22,45,45

bin4:,45,45,75,75,75,75

smoothing by median

bin 1:14,14,14,14,14,14

bin 2:20,20,20,20,20,20

bin3: 27,27,27,27,27,27

bin4:,71.5,71.5,71.5,71.5,71.5,71.5