3. Describing Data Numerically

Percentiles & Quartiles

Multiple Choice
In a class rank context, what does it mean if a student is in the first quartile (Q1) of the class?
Textbook Question
Using and Interpreting Concepts

Using and Interpreting Concepts Finding Quartiles, Interquartile Range, and Outliers In Exercises 11 and 12,
(a) find the quartiles

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Textbook Question
Using and Interpreting Concepts

Using and Interpreting Concepts Finding Quartiles, Interquartile Range, and Outliers In Exercises 11 and 12,
(c) identify any outliers.

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Multiple Choice
In a distribution of exam scores, what does it mean for a student to be at the 95th percentile?
Multiple Choice
In a distribution of exam scores, what does it mean for a student’s score to be at the 16th percentile?
Multiple Choice
In a dataset, what does it mean to say that a value is at the 83rd percentile?
Multiple Choice
On a PSAT score report, what does the percentile associated with a student's score represent?
Multiple Choice
In a distribution of test scores, what does it mean if a student’s score is at the 88th percentile?
Textbook Question
Interpreting Percentiles In Exercises 29–32, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
What score represents the 65th percentile? How should you interpret this?
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Textbook Question
Building Basic Skills and Vocabulary

The length of a guest lecturer’s talk represents the third quartile for talks in a guest lecture series. Make an observation about the length of the talk.
Textbook Question
[NW] You Explain It! Percentiles Explain the meaning of the following percentiles. Source: Advance Data from Vital and Health Statistics. a. The 15th percentile of the head circumference of males 3 to 5 months of age is 41.0 cm. b. The 90th percentile of the waist circumference of females 2 years of age is 52.7 cm. c, Anthropometry involves the measurement of the human body. One goal of these measurements is to assess how body measurements may be changing over time. The following table represents the standing height of males aged 20 years or older for various age groups. Based on the percentile measurements of the different age groups, what might you conclude?
Textbook Question
Threaded Problem: Tornado The data set “Tornadoes_2017” located at www.pearsonhighered.com/sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. b. Determine the interquartile range of the length of tornadoes in Iowa (IA). Hint: If you are using StatCrunch, enter “State=IA” in the Where: box of the Summary Stats dialogue window. Determine the interquartile range of the length of tornadoes in Kansas (KS). Which state has lengths of tornadoes that are more dispersed? Explain.
Textbook Question
A student’s test grade of 75 represents the 65th percentile of the grades. What percent of students scored higher than 75?
Multiple Choice
On Spotify, a message says you are in the “top 0.5%” of listeners for an artist. What does this mean?
Multiple Choice
In the context of class rank, what does it mean for a student to be in the 3rd quintile?