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In the same sleep survey of 50 students the 40th ordered value is eight hours and the 41st is nine hours. What is the 80th percentile?
AIt is 8.0 hours
BIt is 8.5 hours
CIt is 9.0 hours
DIt is 7.5 hours
Answer & Solution
Correct answer: B. It is 8.5 hours
1. Eighty percent of 50 values is 40 values, so the percentile sits between the 40th and 41st positions.
2. The 40th value is eight hours and the 41st is nine hours.
3. The mean of eight and nine is 17 divided by 2, which is 8.5 hours.
4. Choosing eight or nine alone picks one of the two neighbours instead of the midpoint between them.
_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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