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How is the interquartile range of a data set obtained?
ABy subtracting the minimum from the maximum
BBy subtracting the first quartile from the third
CBy subtracting the median from the third quartile
DBy subtracting the first quartile from the median
Answer & Solution
Correct answer: B. By subtracting the first quartile from the third
1. The interquartile range measures the spread of the middle half of the data.
2. That half runs from the first quartile up to the third quartile.
3. Subtracting the first quartile from the third gives the interquartile range.
4. Subtracting the minimum from the maximum gives the full range instead, which any single extreme value can inflate.
_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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