The outlier boundaries for the given data set is: any value that is less than 30 or greater than 46.
What is an Outlier?
An outlier in a data can be defined as any value that is less than Q1 - 1.5 × IQR or greater than Q3 + 1.5 × IQR.
Given the data, 34, 38, 41, 40, 36, 36, 38, 40, we have:
Q1 = 36
Q3 = 40
IQR = Q3 - Q1 = 40 - 36 = 4
Q1 - 1.5 × IQR = 36 - 1.5 × 4 = 30
Q3 + 1.5 × IQR = 40 + 1.5 × 4 = 46
Therefore, the outlier would be: any value that is less than 30 or greater than 46.
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