Section 9.3: Two-Way Tables — Practice Questions

1. 1. What is the primary purpose of a two-way table in data analysis?

   • A. To show how a single variable changes over time.
   • B. To organize and compare data for two categorical variables.
   • C. To calculate the mean, median, and mode of a data set.
   • D. To plot data points on a coordinate plane.

2. 2. A two-way table is used to organize data based on ___ different categorical variables.

3. 3. A table shows student preferences for reading fiction or non-fiction books, separated by grade level (6th and 7th). What does a single cell in this table represent?

   • A. The total number of students surveyed.
   • B. The total number of students who prefer fiction.
   • C. The number of 6th-grade students who prefer fiction.
   • D. The total number of 6th-grade students.

4. 4. In a two-way table, the numbers that fill the cells represent the frequencies for each category combination. These frequencies are also known as ___.

5. 5. Which of the following data sets would be best organized using a two-way table?

   • A. The number of goals scored by a soccer player in each game of the season.
   • B. The favorite subjects (Math or English) of students in different grades (9th or 10th).
   • C. The daily high temperature recorded in a city for one week.
   • D. The heights of all students in a single classroom.

6. 6. A survey collected data on students' grade levels and preferred lunch options. 15 sophomores chose pizza, 20 sophomores chose sandwiches. 25 juniors chose pizza, and 10 juniors chose sandwiches. How many students are in the 'sophomore-pizza' cell? ___

7. 7. A researcher surveys people on their employment status (Employed, Unemployed) and whether they own a pet (Yes, No). What are the two categorical variables used to create a two-way table for this data?

   • A. Employment Status and Pet Ownership
   • B. Employed and Unemployed
   • C. People and Pets
   • D. Yes and No

8. 8. Data was collected on movie genre preference. 35 adults and 50 teens chose comedy. 40 adults and 25 teens chose action. In a two-way table, what frequency is in the cell for adults who prefer action? ___

9. 9. A two-way table is created for favorite seasons (Winter, Summer) and favorite activities (Skiing, Swimming). Which of the following would be represented by a single cell in the table?

   • A. The number of people who prefer Summer and Swimming
   • B. The total number of people who prefer Winter
   • C. The total number of people surveyed
   • D. The number of people who prefer Skiing or Swimming

10. 10. A store tracks sales of shirts and pants in different colors. The data is: 10 red shirts, 15 blue shirts, 20 red pants, 12 blue pants. How many items belong in the cell for blue pants? ___