Question

The values for q1 and q3 for the data set below are q1=139 and q3=187. are there any outliers for this data? if so, what are they? [59,63,108,135,159,161,162,163,168,168,184,188,192,195,217]

Answer 1

Outliers are those values in the data set that are beyond 1.5 times the IQR past the end of the "box" in the "box-and-whisker" plot.

The IQR is 187-139 = 48. 1.5 times that value below Q1 is 139 - 1.5·48 = 67. Both 59 and 63 could be considered outliers by this criterion.

1.5 times the IQR above Q3 is 187 +1.5·48 = 259. No data values are above that.

The outliers are 59 and 63.