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The interquartile range measures the spread of which part of the data?
AThe middle half
BThe lowest quarter
CThe highest quarter
DThe whole range
Answer & Solution
Correct answer: A. The middle half
1. The first quartile cuts off the bottom quarter and the third quartile cuts off the top quarter.
2. What is left between them is the middle half of the data.
3. The interquartile range measures the spread of exactly that middle 50 percent.
4. The full range covers everything from the smallest value to the largest, which is a different measure.
_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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