AP Statistics Variables and Categorical Data Displays Quiz: 10 Questions with Explanations

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This categorical data quiz for AP Statistics covers variables and categorical data displays (Common Core AP STAT 1.1, AP STAT 1.2, AP STAT 1.3, HSS-ID.A.1), with a free PDF to print.

Ten multiple-choice questions check the vocabulary and the calculations of categorical data. Read each explanation, especially for questions you miss.

AP Statistics · Common Core State Standards: AP STAT 1.1, AP STAT 1.2, AP STAT 1.3, HSS-ID.A.1

Categorical data quiz: 10 questions

Question 1
Which variable is quantitative?

Question 2
A survey of 80 students finds 28 prefer math as favorite subject. What is the relative frequency?

Question 3
0102030Count10A25B5C20DAnswer
Responses A to D.

How many responses are in category B as a percent of all responses?

Question 4
Percents in a poll add to 106%. What is the most likely explanation?

Question 5
Red: 50%Blue: 30%Green: 20%
Favorite color.

What is the central angle for the Blue slice?

Question 6
Why should a bar graph for a categorical variable start at zero?

Question 7
020406080100Percent4070Yes6030NoGroup 1Group 2
Percent saying yes or no.

Group 1 has 50 people and Group 2 has 200 people. Which statement is true?

Question 8
Which is an appropriate display for the percent of students in each of four grade levels?

Question 9
Which statement correctly describes a categorical distribution?

Question 10
In a table, 45 of 150 students are seniors. What percent is this?

Remember

Remember
  • Individuals are the objects described by data; a variable is a trait that varies among them.
  • Categorical variables name groups; quantitative variables are measured with numbers.
  • Relative frequency = category count divided by total, and relative frequencies add to 1.
  • Bar graphs have a zero baseline and gaps between bars; pie charts need parts of one whole.
  • Compare different-sized groups with percents, not raw counts.

How to use this categorical data quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the categorical data quiz as a PDF with the button below and keep it with your notes.

Download the categorical data quiz as a PDF with the button below and keep it with your notes.

Download the categorical data quiz as a PDF with the button below and keep it with your notes.

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AP Statistics Variables and Categorical Data Displays Quiz: 10 Questions with Explanations

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