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8 UNIT 1 Exploring One-Variable Data

SECTION 1A Summary

• Statistics is the science and art of collecting, analyzing, and drawing conclu-
sions from data.
A class survey Here is a small part of a data set that FINAL - For Review Purposes Only - Do Not Copy
• A data set contains information about a number of individuals. Individuals

may be people, animals, or things. For each individual, the data give values
for one or more variables. A variable is a characteristic that can take different
values for different individuals .
• A categorical variable takes values that are labels, which place each individual
into a particular group, called a category. A quantitative variable takes numer-
ical values that count or measure some characteristic of each individual.
AP® EXAM TIP
AP® Daily Videos • The distribution of a variable describes what values the variable takes and
how often it takes each value.
Review the content of this • To summarize the distribution of a variable, you can use a frequency table

section and get extra help by that shows the number of individuals having each value or a relative frequency
watching the AP® Daily Videos table that shows the proportion or percentage of individuals having each value.

for Topics 1.1–1.3, which are You can use a frequency table or a relative frequency table to help describe the
available in AP® Classroom.
distribution of a variable.

SECTION 1A exercises

The solutions to all exercises numbered in red can be found in the Solutions Appendix.

Individuals and Variables exciting new coasters. The following table displays data
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1. on several roller coasters from around the world. 4
pg 4 describes the students in a math class. The data come
Roller
from anonymous responses to a questionnaire filled out coaster Type Height Design Speed Duration
(ft)
(sec)
(mph)
on the second day of class.
Copperhead Steel 82.0 Sit down 50.0 144
Homework Android Strike
Grade Dominant Children last night or Eurostar Steel 98.9 Inverted 50.2 140
level hand GPA in family (min) iPhone? Jungle Wood 108.3 Sit down 54.1 150
9 L 2.3 3 0–14 iPhone Trailblazer
11 R 3.8 6 15–29 Android Falcon Steel 197.5 Wing 73.3 156
10 R 3.1 2 15–29 Android Olympia Steel 106.7 Sit down 49.7 105
10 R 4.0 1 45–59 iPhone Looping
10 R 3.4 4 0–14 iPhone Time Steel 100.0 Sit down 50.3 117
Traveler
10 L 3.0 3 30–44 Android

9 R 3.9 2 15–29 iPhone (a) Identify the individuals and variables in this data set.
12 R 3.5 2 0–14 iPhone
(b) Classify each variable as categorical or quantitative.
(a) Identify the individuals and variables in this data set. 3. Hit movies Avatar was the top-earning movie based on
(b) Classify each variable as categorical or quantitative. box-office receipts worldwide as of December 2022. The
following table displays data on several popular movies. 5
2. Coaster craze Many people like to ride roller coasters. Identify the individuals and variables in this data set.
Amusement parks try to increase attendance by building Then classify each variable as categorical or quantitative.

© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only, all other uses prohibited - Do Not Copy or Post in Any Form.

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