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INTRODUCTION TO DATA MINING Question 1: Outlier detection Draw boxplot and detect outliers 201,199, 269, 236,...

INTRODUCTION TO DATA MINING

Question 1: Outlier detection
Draw boxplot and detect outliers
201,199, 269, 236, 278, 271, 303, 291, 283, 301, 341

Solutions

Expert Solution

Let the data range be

201,199, 269, 236, 278, 271, 303, 291, 283, 301, 341

Therefore n = 11

Median(Q2) = 1/2(11+1)th term = 6th term

Q2 = 271

Lower Quartile(Q1) = 1/4(11+1)th term = 3rd term

Q1 = 269

Upper Quartile (Q3) = 3/4(11+1) th term = 9th term

Q3 = 283

Inter Quartile Range (IQR) = Q3 – Q1 = 283 – 269

IQR = 14

Lower Limit = Q1 – 1.5 IQR = 269 – 1.5 (14)

Lower Limit = 248

Upper Limit = Q3 + 1.5 IQR = 283 + 1.5 (14)

Upper Limit = 304

Hence it is clear that any range above 304 and below 248 are outliers.Hence in the data series 201,199, 269, 236, 278, 271, 303, 291, 283, 301, 341, outliers are 201, 199 and 341. These 3 values which lies on either of the extremes can be considered abnormal and should be discarded from the entire series so that any analysis made on this series is not influenced by these extreme values. So the data series that should be considered for further observation or study after discarding the outliers are as below.

269, 236, 278, 271, 303, 291, 283, 301

venereology answered 5 months ago
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