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For the same 65 salespersons the first quartile is four cars and the third quartile is six cars. What is the interquartile range?
AThe range is four cars
BThe range is three cars
CThe range is one car
DThe range is two cars
Answer & Solution
Correct answer: D. The range is two cars
1. The interquartile range is the third quartile minus the first quartile.
2. The third quartile is six cars a week.
3. The first quartile is four cars a week.
4. Subtracting gives six minus four, which is two cars a week.
5. A range of four cars would follow from using the first quartile itself instead of the difference.
6. A range of one car would need quartiles that differ by a single car, which these totals do not give.
_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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