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A day class has quartiles 56 and 82.5 while a night class has quartiles 78 and 89. What do the two interquartile ranges show?
AThe night class spread is 26.5, the wider one
BBoth classes have the same spread of 26.5
CThe night class spread of 11 is the wider one
DThe day class spread of 26.5 is the wider one
Answer & Solution
Correct answer: D. The day class spread of 26.5 is the wider one
1. The day class interquartile range is 82.5 minus 56, which is 26.5 marks.
2. The night class interquartile range is 89 minus 78, which is 11 marks.
3. The larger value belongs to the day class, so its middle half of scores is more spread out.
4. Reading 26.5 as the night class figure swaps the two groups, and the two spreads are plainly not equal.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
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