**Question 1: Drive-Thru Wait Time Comparison**
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
1. A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled "Wait Time In Minutes." The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled "Super Fast Food."
2. A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled "Wait Time In Minutes." The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled "Burger Quick."
Which drive-thru typically has more wait time, and why?
- A. Burger Quick, because it has a larger median
- B. Burger Quick, because it has a larger mean
- C. Super Fast Food, because it has a larger median
- D. Super Fast Food, because it has a larger mean
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**Question 2: Charity Donations Variability**
A charity needs to report its typical donations received. The following is a list of the donations from one week: 5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20.
A graph titled "Donations to Charity in Dollars" is provided. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
- A. The range of 13 is the most accurate to use since the data is skewed.
- B. The IQR of 13 is the most accurate to use since the data is skewed.
- C. The range of 20 is the most accurate to use to show that they have plenty of money.
- D. The IQR of 20 is the most accurate to use to show that they need more money.
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**Question 3: Transportation Preferences**
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
The circle graph is titled "San Francisco Residents' Transportation" with five sections labeled:
- Walk: 40%
- Bicycle: 8%
- Streetcar: 15%
- Bus: 10%
- Cable Car: 27%
Which of the following conclusions can we draw from the circle graph?
- A. Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
- B. Together, Walk and Streetcar are the preferred transportation for 55 residents.
- C. Bus is the preferred transportation for 45 residents.
- D. Bicycle is the preferred transportation for 50 residents.
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**Question 4: Roses Purchased Per Day**
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled "Number of Rose Bouquets," and the graph is titled "Roses Purchased Per Day." There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
- A. The range is the best measure of variability, and it equals 8.
- B. The range is the best measure of variability, and it equals 2.5.
- C. The IQR is the best measure of variability, and it equals 8.
- D. The IQR is the best measure of variability, and it equals 2.5.
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**Question 5: Temperature Comparisons**
The histograms display the frequency of temperatures in two different locations over a 30-day period.
1. A graph titled "Temps in Sunny Town" with:
- Temperature intervals: 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119.
- Frequency: 10, 9, 5, 4, 2, and 0, respectively.
2. A graph titled "Temps in Desert Landing" with:
- Temperature intervals: 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119.
- Frequency: 2, 4, 12, 6, 4, and 2, respectively.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
- A. Median, because Desert Landing is symmetric
- B. Mean, because Sunny Town is skewed
- C. Mean, because Desert Landing is symmetric
- D. Median, because Sunny Town is skewed
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**Question 6: Hot Dog Preferences**
At a recent baseball game with 5,000 attendees, 150 people were asked what they prefer on a hot dog. The results are shown below:
- Ketchup: 63
- Mustard: 27
- Chili: 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
- A. 900
- B. 2,000
- C. 2,100
- D. 4,000
