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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°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Question 12

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?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.


Question 13

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 number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.

Question 14
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 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.

Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16

2 Answers

4 votes

Answer:

number 11 is kayaking

Explanation:

add all of them up which will give you 100.Then do 360÷100=3.6

3.6×15=54

EASY DUBS

User Rpmansion
by
8.7k points
4 votes

Answer:

(11) The central angle of a sector in a circle graph can be calculated by finding the ratio of the number of campers who chose that activity to the total number of campers, and then multiplying by 360 degrees.

For paddleboarding, the ratio is:

54 (number of campers who chose paddleboarding) / 100 (total number of campers) = 0.54

The central angle for paddleboarding is:

0.54 x 360 degrees = 194.4 degrees

Therefore, paddleboarding does not have a central angle of 54 degrees.

For kayaking, the ratio is:

15 / 100 = 0.15

The central angle for kayaking is:

0.15 x 360 degrees = 54 degrees

Therefore, the answer is Kayaking.

(12) Assuming that the proportion of principals in the exhibit room is representative of the entire conference, we can estimate the number of principals in attendance at the conference as follows:

The proportion of teachers in the exhibit room is 18/70 = 0.2571

The proportion of principals in the exhibit room is 52/70 = 0.7429

If we assume these proportions hold for the entire conference, then we can estimate the number of principals in attendance as:

(0.7429)(750) = 557.175

Therefore, we can predict that there were about 557 principals in attendance at the conference. Answer: There were about 557 principals in attendance.

(13) Out of 225 students, 27 prefer cookies.

To predict the number of cookies the college will need, we can use proportions.

Let x be the total number of students in the college who prefer cookies. Then, we can set up the following proportion:

27/225 = x/4000

Solving for x, we get:

x = (27/225) * 4000

x = 480

Therefore, the best prediction about the number of cookies the college will need is that it will have about 480 students who prefer cookies.

The answer is: The college will have about 480 students who prefer cookies.

(14) 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, is the correct way to display the given data.

(15) To determine which bus typically has the faster travel time, we need to compare the measures of center (mean and median) for both data sets.

For Bus 47, the median is the middle value when the data is arranged in order, which is 14 minutes. The mean can be found by summing all the travel times and dividing by the total number of students:

(4+6+10+10+12+12+16+16+16+18+22+22+22+28+28) / 15 = 16.13 minutes (rounded to the nearest hundredth)

For Bus 18, the median is the middle value when the data is arranged in order, which is 12 minutes. The mean can be found by summing all the travel times and dividing by the total number of students:

(6+6+8+9+10+10+12+12+14+14+16+16+18+20+22) / 15 = 12.27 minutes (rounded to the nearest hundredth)

Comparing the measures of center, we see that Bus 47 has a higher mean and median, indicating that it typically has a longer travel time than Bus 18. Therefore, the answer is: Bus 18, with a median of 12.

User Bilak
by
8.7k points