8
AssignmentMultiple Select

Range and Interquartile Range

Question 8 • Concepts in Probability and Statistics A

Which statements are true about the interquartile range? Select all that apply.

Answer
A
Subtract the lowest and highest values to find the interquartile range.
B
Interquartile ranges are not significantly impacted by outliers.
C
Lower and upper quartiles are needed to find the interquartile range.
D
A small interquartile range means the data is spread far away from the median.
E
The data values should be listed in order before trying to find the interquartile range.

Explanation

The interquartile range is the upper quartile minus the lower quartile (Q3 − Q1), so both quartiles are needed. First, put the data values in order to find those quartiles. Because the IQR describes the middle half of the data, it is not significantly affected by extreme outliers; a small IQR means that middle half is relatively close together, not spread far from the median.

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