Question

Question 7(Multiple Choice Worth 2 points)

(Creating Graphical Representations MC)

A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.


Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44


Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44

Question 8(Multiple Choice Worth 2 points)
(Circle Graphs MC)

A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.


Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81


Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent

Question 9(Multiple Choice Worth 2 points)
(Making Predictions MC)

A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.


Ice Cream Candy Cake Pie Cookies
81 9 72 36 27


Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 480 students who prefer ice cream.
The college will have about 640 students who prefer ice cream.
The college will have about 1,280 students who prefer ice cream.
The college will have about 1,440 students who prefer ice cream.

Question 10(Multiple Choice Worth 2 points)
(Comparing Data MC)

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

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.

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?

Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean

Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)

The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.

Which graphical representation would be most appropriate for the data, and why?

Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point

Answer 1

Question 7: The correct graph to represent the data is a bar graph with the title favorite sport and the x-axis labeled sport and the y-axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44.

Question 8: The correct circle graph to represent the data is a circle graph titled New York City visitor's transportation, with five sections labeled walk 48 percent, bus 8 percent, car service 18 percent, bicycle 4 percent, and subway 22 percent.

Question 9: The best prediction about the scoops of ice cream the college will need is that the college will have about 640 students who prefer ice cream. This prediction is based on finding the ratio of students who prefer ice cream in the sample and using that ratio to estimate the number of students who prefer ice cream in the whole population.

Question 10: Burger Quick typically has more wait time because it has a larger interquartile range (IQR), which represents the middle 50% of the data. Even though Burger Quick's median is larger, it's not necessarily a better measure of central tendency than Super Fast Food's median. Nonetheless, since both are skewed to the right, using their means, which are susceptible to being influenced by outliers, could be misleading.

Question 11: The most appropriate graphical representation for the data is a histogram because it shows the frequency distribution and range of the data. A circle chart may not be appropriate since there are more than three categories of data, while a line plot does not work well with this type of data. Stem-and-leaf plots can be used if there is only a small number of data points, but a histogram is better when the number of data points is relatively large.