7th Grade – Domain 5: Statistics and Probability (20%)MGSE7.SP11. A poll is being taken at the Junior High School to

determine whether to change the school mascot. Which of the following would be the best place to find a sample of students to interview that would be most representative of the entire student body?

A. An algebra classB. The cafeteria C. The guidance office D. The faculty room

MGSE7.SP13. The manager of an ice cream shop wants to find out

what flavor of ice cream he should add to the menu. Which of the following is the best sample group?

A. Customers in the shop on Saturday B. Children who come to the shop for ice creamC. Residents of the town between the ages of 25

and 50D. Customers at the ice cream shop over a period

of a monthMGSE7.SP12. Amanda asked a random sample of 40 students from

her school to identify their birth month. There are 300 students in her school. Amanda’s data is shown in this table.

Which of these statements is best supported by the data?

A. Exactly 25% of the students in Amanda’s school have April as their birth month.

B. There are no students in Amanda’s school that have a February birth month.

C. There are probably more students at Amanda’s school with an April birth month than a July birth month.

D. There are probably more students at Amanda’s school with a July birth month than a June birth month.

MGSE7.SP14. Louis wants to find out the favorite subjects of

students in the 6th grade class. Which group of people should he ask to get the best results?

A. the school principals        B. the students' teachers          C. the sixth grade studentsD.  the students in grades 4 through 6

MGSE7.SP15. The Philadelphia Inquirer wants to determine how

voters in Philadelphia will vote in the next presidential election.

Which of the following groups represents the best random sample?

A. registered voters from all over the state          B. registered voters who are Democrats          C. registered voters who are Republicans          D. registered voters who live in Philadelphia

MGSE7.SP26. There are three students who are running for

student council president. Mrs. Jones randomly surveyed some of the students who will vote and recorded the results in the table below. If there are 480 students in the school, approximately how many will vote for Jackson?

A. 192 B. 18 C. 86D. 90

MGSE7.SP27. Mr. Collins’s class wanted to compare the quantities

MGSE7.SP29. Ted has the following scores on exams in his

of apples and bananas sold at the school cafeteria for 3 weeks. The double bar graph shows the results of their survey. For Week 1, how many more pounds of apples were sold than bananas?

Pounds of Apples and Bananas Sold at the Cafeteria

Apples

Bananas

Week 1 Week 2 Week 3

5

10

15

20

25

Pounds

A. 20B. 10C. 5D. none of the above

French class: 77, 96, 58, 63, 96, and 87. Should Ted use the mean, median, mode, or range of the exam scores if he wants to try to convince his parents of his success in the French class?

A. MeanB. ModeC. MedianD. RangeMGSE7.SP2

10. Below is the data collected from two random samples of 100 students regarding student’s school lunch preference. Based on the information in the chart, which statement is true about the students’ school lunch preferences?

A. Most students prefer pizza.B. Most students prefer tacos.C. Most students prefer hamburgers.D. More students prefer hamburger and tacos over

pizza.MGSE7.SP2

8. The spreadsheet shows the number of wins and losses for two basketball teams. Use the spreadsheet to answer the following question.

A B C D E

1 Team Year Won LostPercent of Wins

2Fairview Falcons

2003 15 5 0.75

3Summerville Spartans

2003 6 14 0.30

How many more wins did the Fairview Falcons have than the Summerville Spartans?

A. 9B. 8C. 10D. 5

MGSE7.SP 311. Carlos received the following test scores for the

semester: 87, 95, 77, 83, and 91. His teacher is offering a 10 point bonus for the next test. What grade must Carlos make on the next test in order to get a 90 average for his test grades?

A. 83B. 90C. 107D. 110MGSE7.SP 3

12. The heights of players in inches for a basketball team are: 85, 83, 76, 74, 87

The heights of players in inches for a soccer team are: 72, 68, 76, 73, 70, 67

What is the approximate mean height difference between the two sports?

A. 11 B. 19 C. 10 D. 8

MGSE7.SP 313. Compare the mean, median, and range for the

MGSE7.SP 416. The table shows the number of turkey and ham

following data sets.

A: 22, 18.5, 96, 35.5, 26, 19 B: 46, 45, 18, 37.5, 41.5, 51.5

Which is true?

A. The mean of A is 32 greater than the mean of B. B.  The median of B is 41.C. The mean of B is 43.D. The range of A is more than twice the range of B.

sandwiches sold by Derby’s Deli for several days in one week.

What is the difference between the median number of turkey sandwiches sold and the median number of ham sandwiches sold?

A. 0 B. 1 C. 2 D. 3

MGSE7.SP 314. Compare the Mean Absolute Deviation (MAD) of

these two groups of test scores. The mean of the test scores for Group B is 64 and the mean absolute deviation for Group B is 8.8.

Group A Group B66 5798 5892 6091 5969 86

A. What is the mean of Group A?

B. What is the mean absolute deviation of Group A?

C. Compare the two MAD’s. Which group has the higher MAD and by how much

MGSE7.SP 417. The number of books sold by each student in two

classes for a fund raiser is summarized by these box plots

The principal concluded that there was more variability in the number of books sold by Class 1 than Class 2. Which statement is true about the principal’s conclusion?

A. It is valid because the median for Class 1 is greater than the median for Class 2.

B. It is valid because the range for Class 1 is greater than the range for Class 2.

C. It is invalid because the minimum value for Class 1 is less than the minimum value for Class 2.

D. It is invalid because the interquartile range for Class 1 is less than the interquartile range for Class 2.

MGSE7.SP 315. The histogram shows the number of sick days students took

during the school year. How many more students were out sick for 0 to 2 days than 12 to 14 days?

0–2 3–5 6–8 9–11 12–14 Days

10

20

30

Students

A. 16B. 8C. 24D. 20

MGSE7.SP418. The dot plots show the number of questions correct

MGSE7.SP420. The box-and-whisker plots show the distribution of

for each student who took the same ten-question science quiz in two different classes.

Science Quiz Results

Class A

• • • • •••

•• •

4 5 6 7 8 9 10

Class B

• •• •••

••••

4 5 6 7 8 9 10

Compare the measures of central tendency for each student. What conclusions can you draw from the comparisons?

A. Compare the means for Class A and B: (Which class mean is higher and by how much?)

B. Compare the medians for Class A and B: (Which

class median is higher and by how much?)

C. Compare the modes for Class A and B: (Which class median is higher and by how much?)

two data sets. Which data set has a greater range?

Data Set 1

0 2 4 6 8 10 12 14 16 18 20 22 240

Data Set 2

0 2 4 6 8 10 12 14 16 18 20 22 240

A. Data Set 1B. Data Set 2C. The data sets have the same rangeD. There is not enough information to determine

the range

MGSE7.SP419. The box-and-whisker plots show the distribution of

two data sets. Which data set has a greater median?

Data Set 1

0 2 4 6 8 10 12 14 16 18 20 22 240

Data Set 2

0 2 4 6 8 10 12 14 16 18 20 22 240

A. Data Set 1B. Data Set 2C. The data sets have the same medianD. There is not enough information to determine the

median

21. The nine chips shown above are placed in a sack and

then mixed up. Madeline draws one chip from this sack. What is the probability that

Madeline draws a chip with an even number?

MCC7.SP.5

A.

19 C.

45

B.

14 D.

49

22. Carla and Benita are playing a spinner game. What are the chances of either of them rolling a 6 or higher? MCC7.SP.5

a. 0.25b. 0.375c. 0.50d. 0.625

23. What is the probability of the spinner landing on B? MCC7.SP.5

a. 12.5 %b. 20 %c. 25 %d. 50 %

24. Suppose a dartboard had 9 equally likely sections with 4 labeled with D, 2 with A, 2 with R, and 1 with T, what would be the probability of a dart hitting a D with a single throw? MCC7.SP.5

a. .11b. .22c. .33d. .44

25. Ranger Goya is recording the numbers of sightings of different types of birds he sees in the state park in the graph to the right.

Based on these results, what is the

probability that the next type of bird Ranger

Goya sees is a type of hummingbird? MCC7.SP.6

A.

16 C.

25

B.

13 D.

23

Use Graph below for problems 5 and 6.

26. Based on the results in the graph, what is the probability that the next type of bird Ranger

Goya sees is a Mountain Chickadee?

MCC7.SP.6

A. .10B. .20C. .25D. .30

27. Luis wants to make a game spinner in which the chance of landing on blue will be twice the chance of landing on red. He is going to label each section either red, or blue. If he spins the spinner once, what are the chances that it will land on red. MCC7.SP.6

A.

13 C.

23

B.

29 D.

49

28. If you roll a six-sided dye 120 times, about how many times can you expect to get an even number. MCC7.SP.6

A. 30B. 40C. 50D. 60

29. The spinner below is used in a carnival game. The table shows the actual numbers of times the spinner landed on different colors after being spun 40 times. Which color has the same theoretical and experimental probability of the spinner landing on it? MCC7.SP.7A

A. Black B. Blue C. Green D. Red

Use the Information below for questions 9 and 10.

30. What is the experimental probability of getting blue? MCC7.SP.7A

a.

15 C.

25

b.

310 D.

12

Use the Information below for questions 9 and 10.

31. Henry is playing a game using a bag of tokens that contains exactly 28 black tokens and 12 white tokens. On each player’s turn a single token is drawn at random from the bag and then returned to the bag at the end of the turn. Each token is the same size and shape.

What is the theoretical probability of a player drawing a white token? MCC7.SP.7B

a.

310 C.

12

b.

25 D.

35

32. Henry recorded the first 10 draws as either black (B) or white (W) as shown to the right. Based on this information, what is the experimental probability of the next player drawing a white token? MCC7.SP.7B

A.

310 C.

12

B.

25 D.

35

1st 10 Draws:

B, W, W, W, B, B, B, W, B, B

33. How many different three-digit whole numbers can be written using each of the digits 4, 5, and 6 exactly once? MCC7.SP.8A

A. 6

B. 15

C. 24

D. 120

4 5 6

34. David has these two spinners.

Spinner 1 is divided into two equal parts, and spinner 2 is divided into three equal parts.

X Y

1 1

2 6

3 11

4 15

A. C. X Y

1 5

2 6

3 7

4 8

B. D.

X Y

1 9

2 13

3 17

4 21

X Y

1 -1

2 3

3 7

4 11