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**Question 9 (Multiple Choice Worth 2 points)**
(Creating Graphical Representations LC)

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for his data?

A. Stem-and-leaf plot
B. Histogram
C. Circle graph
D. Box plot

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**Question 10 (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?

A. 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
B. 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
C. 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
D. 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

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**Question 11 (Multiple Choice Worth 2 points)**
(Circle Graphs LC)

Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.

| Lake Activity | Number of Campers |
|----------------|-------------------|
| Kayaking | 15 |
| Wakeboarding | 11 |
| Windsurfing | 7 |
| Waterskiing | 13 |
| Paddleboarding | 54 |

If a circle graph was constructed from the results, which lake activity has a central angle of 54°?

A. Kayaking
B. Wakeboarding
C. Waterskiing
D. Paddleboarding

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**Question 12 (Multiple Choice Worth 2 points)**
(Making Predictions MC)

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

A. There were about 193 principals in attendance.
B. There were about 260 principals in attendance.
C. There were about 557 principals in attendance.
D. There were about 680 principals in attendance.

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**Question 13 (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.

| Dessert | Number of Students |
|------------|--------------------|
| Ice Cream | 81 |
| Candy | 9 |
| Cake | 72 |
| Pie | 36 |
| Cookies | 27 |

Which statement is the best prediction about the number of cookies the college will need?

A. The college will have about 480 students who prefer cookies.
B. The college will have about 640 students who prefer cookies.
C. The college will have about 1,280 students who prefer cookies.
D. The college will have about 1,440 students who prefer cookies.

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**Question 15**

The line plots represent data collected on the travel times to school from two groups of 15 students.

- A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

- A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.

A. Bus 18, with a median of 13
B. Bus 47, with a median of 16
C. Bus 18, with a mean of 13
D. Bus 47, with a mean of 16

Answer :

1) A histogram would be the best graphical representation for the teacher's data on the subject preferences of students. 2) The correct circle graph is option 2. 3) Option 4: Paddleboarding.

What is a histogram?

The frequency or relative frequency of the data points falling within each interval is depicted by the height of the bars in a histogram, which is a graphical representation of the distribution of continuous data. Histograms are frequently used in data analysis to show how a single variable is distributed and to spot any patterns or trends. Additionally, they can be used to compare the distributions of two or more variables or to spot anomalies or outliers in the data.

1) A histogram would be the best graphical representation for the teacher's data on the subject preferences of students.

2) Given the type of transportation we have he total number of visitors as:

(120+24+45+30+81=300)

Now, for walk we have:

120/300 = 40/100 = 40%

For Bicycle we have:

24/300 = 8%

Thus, the correct circle graph is option 2: 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

3) For the central angle to be 54 the number of campers needs to correspond to this number. The activity that corresponds to 54 degrees is Paddleboarding.

4) For the number of principals in conference we set up a proportionality with total people as follows:

We know that, 52 principals out of 70 people thus:

52/70 = x/750

Now,

x = (52/70) * 750

x = 557.14

Hence, we can predict that there were about 557 principals in attendance at the conference.

5) Given that, out of 225 students 27 prefer cookies thus,

27/225 = 0.12

That is 12% students like cookies.

Now, for the total number of students we have:

0.12 * 4000 = 480

Thus, option A: The college will have about 480 students who prefer cookies.

6) For the given description of the line plot the median is:

For Bus 47 = 16

For Bus 18 = 13

The faster bus is Bus 47, with a median of 16.

Learn more about histogram here:

https://brainly.com/question/30354484

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