Lesson 4: Make More Comparative Inferences About Populations — Practice Questions

1. 1. What is the range of the data set $\{5, 9, 11, 15, 21\}$? ___

2. 2. Find the mode of the following set of numbers: $\{3, 4, 6, 6, 8, 9, 6\}$. ___

3. 3. Which of the following data sets has no mode?

   • A. $\{1, 2, 2, 3\}$
   • B. $\{4, 5, 6, 7\}$
   • C. $\{8, 8, 9, 9\}$
   • D. $\{10, 11, 11, 12\}$

4. 4. Consider Set X: $\{15, 18, 20, 22, 25\}$ and Set Y: $\{30, 32, 35, 39, 44\}$. Which statement correctly compares their ranges?

   • A. The range of Set X is greater than the range of Set Y.
   • B. The range of Set X is less than the range of Set Y.
   • C. The range of Set X is equal to the range of Set Y.
   • D. Set X has no range.

5. 5. The daily high temperatures for a week were recorded as $\{65, 68, 70, 70, 72, 75, 75\}$. This data is bimodal. What is the larger of the two modes? ___

6. 6. The mean weight of apples from Orchard A is 150 grams and from Orchard B is 170 grams. If both have a MAD of 4 grams, the difference in mean weights is ___ times the MAD.

7. 7. The mean battery life for Phone Model X is 12.5 hours, while for Model Y it is 10.0 hours. If the MAD for both models is 0.5 hours, the difference in mean battery life is ___ times the MAD.

8. 8. The difference in the mean number of goals scored by two soccer leagues is 6 goals. This difference is 3 times the MAD for both leagues. The MAD must be ___ goals.

9. 9. The mean price of a movie ticket in Town A is 14.50 dollars and in Town B is 11.00 dollars. If the MAD for prices in both towns is 1.75 dollars, the difference in mean price is ___ times the MAD.

10. 10. Two groups of students report their daily screen time. Both groups have a mean of 4 hours. Group A has a MAD of 0.5 hours, and Group B has a MAD of 2 hours. What can be concluded?

    • A. Group B's screen times are more consistent than Group A's.
    • B. The average screen time is different between the groups.
    • C. Group A's screen times are less spread out than Group B's.
    • D. The screen times for both groups are identical.