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8.5 Percentiles
Locating a value by rank rather than size: what share of a dataset falls below a given score, and the position formula that pins it down.
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3 exercises
8.5 Exercise 1
Consider the dataset 5, 8, 12, 1, 2, 16, 2, 15, 20, 22.
- At what percentile is the value 5?
- What value is at the 60th percentile?
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8.5 Exercise 3
The data in “AvgSAT” contains the average SAT score for students attending every institution of higher learning in the US for which data is available.
- What score is at the 3rd quartile?
- What score is at the 40th percentile?
- At what percentile is Albion College in Michigan (average SAT: 1132)?
- At what percentile is Oregon State University (average SAT: 1205)?
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8.5 Exercise 5
The dataset "InState" contains the in-state tuitions of every college and university in the country that reported that data to the Department of Education. Use that dataset to answer these questions.
- What tuition is at the second quintile?
- What tuition is at the 95th percentile?
- At what percentile is Walla Walla University in Washington (in-state tuition: $28,035)?
- At what percentile is the Colle…
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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.