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A data set has a first quartile of 12 and a third quartile of 30. What is the interquartile range?
A42
B21
C15
D18
Answer & Solution
Correct answer: D. 18
1. The interquartile range is the third quartile minus the first quartile.
2. Here that is 30 minus 12.
3. So the interquartile range is 18.
4. Adding the two quartiles gives 42, which is the trap in the second option.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.3 Measures of the Location of the Data_
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