Lesson 3: Associations in Categorical Data — Practice Questions

1. 1. A two-way frequency table would be LEAST useful for displaying which of the following datasets?

   • A. Car color and car type
   • B. Student's grade level and their favorite subject
   • C. A person's height and their weight in kilograms
   • D. Preferred pizza topping and preferred crust type

2. 2. A survey finds that 28 students play a sport and are in the school band, while 15 students are in the school band but do not play a sport. How many students are in the school band? ___

3. 3. Of 55 eighth graders surveyed, 32 prefer to do their homework in the evening. The rest prefer to do it right after school. How many students prefer to do homework right after school? ___

4. 4. A survey on vacation preferences showed: 15 people prefer the beach in summer, 5 prefer the beach in winter, 8 prefer the mountains in summer, and 22 prefer the mountains in winter. How many people were surveyed in total? ___

5. 5. The table shows results of a reading survey. $$ \begin{array}{|c|c|c|c|} \hline & \text{E-book} & \text{Physical Book} & \text{Total} \\ \hline \text{Fiction} & 18 & 32 & 50 \\ \hline \text{Non-Fiction} & 25 & 15 & 40 \\ \hline \text{Total} & 43 & 47 & 90 \\ \hline \end{array} $$ In total, how many people prefer E-books? ___

6. 6. A survey asked 80 people their favorite movie genre. The partially filled table shows the results. How many females prefer comedy? ___ $$ \begin{array}{|c|c|c|c|} \hline & \text{Action} & \text{Comedy} & \text{Total} \\ \hline \text{Male} & 20 & 15 & 35 \\ \hline \text{Female} & 18 & ? & 45 \\ \hline \end{array} $$

7. 7. A clinic records pet type (Dog, Cat) and reason for visit (Check-up, Sick). The table shows the data. Which statement is FALSE? $$ \begin{array}{|c|c|c|c|} \hline & \text{Check-up} & \text{Sick} & \text{Total} \\ \hline \text{Dog} & 30 & 10 & 40 \\ \hline \text{Cat} & 15 & 25 & 40 \\ \hline \text{Total} & 45 & 35 & 80 \\ \hline \end{array} $$

   • A. More cats were sick than dogs.
   • B. The same number of dogs and cats were seen in total.
   • C. Most pets were at the clinic for a check-up.
   • D. More dogs were sick than had a check-up.

8. 8. When constructing a segmented bar graph based on conditional relative frequencies, what is the total height of each bar?

   • A. The total number of observations
   • B. 50\%
   • C. 100\%
   • D. It varies depending on the category

9. 9. A survey asks about preferred social media (Platform A, Platform B) by age group (Teens, Adults). For Teens, 45% prefer Platform A and 55% prefer Platform B. In the bar for Teens, the 'Platform B' segment has a height of ___%.

10. 10. A table shows that among office workers, 30% prefer coffee and 70% prefer tea. In a segmented bar for office workers, if the 'Coffee' segment goes from 0% to 30%, the 'Tea' segment ends at ___%.