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For 31 exam scores the first quartile is 61 and the third quartile is 90. What is the interquartile range?
AThe IQR is 39
BThe IQR is 29
CThe IQR is 51
DThe IQR is 17
Answer & Solution
Correct answer: B. The IQR is 29
1. The interquartile range is the third quartile minus the first quartile.
2. The third quartile is 90 marks and the first quartile is 61 marks.
3. Subtracting gives 90 minus 61, which is 29 marks.
4. An answer of 39 marks would follow from a first quartile of 51, which these scores do not give.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.7 Measures of the Spread of the Data_
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