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Illustrative Math Gr 7 Unit 8 Review

Total questions: 40

Worksheet time: 42mins

Name
Class
Date
1.

The probability of Jamie making money investing in bods is ½. The probability of Jamie making money investing in stocks is 82%.

Which of these events is more likely?

a)

Jamie make money investing in bonds

b)

Jamie makes money investing in stocks

c)

Neither. Both events are equally likely.

2.

Gustavo is the league's home run leader. The probability for his total number of home runs for the season are as follows:

P(0-19 home runs)= ¼

P(20-39 home runs)= 45%

P(40+ home runs)= 0.3

What has the greatest probability?

a)

P(0-19 home runs)

b)

P(20-39 home runs)

c)

P(40+ home runs)

3.

Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is 1/5. The probability of Larry staining his shirt during the dinner is 15%.

a)

Harry stains his shirt during the dinner.

b)

Larry stains his shirt during the dinner.

c)

Neither. Both events are equally likely.

4.

You spin the spinner shown. Each sector shown has an equal area.

What is P(shaded sector)?

a)

2/3

b)

2/5

c)

3/2

d)

3/5

5.

Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 total cards in inventory. 14 of those cards are birthday cards.

What is P( not a birthday card)?

a)

14/21

b)

2/3

c)

1/3

d)

1/7

6.

Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 6 classical songs, 7 rock songs, and 9 rap songs on it.

What is P(not a rap song)?

a)

13/9

b)

9/13

c)

13/22

d)

9/22

7.

You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.

What is P(draw a blue marble)?

a)

12/32

b)

6/16

c)

3/8

d)

3/5

8.

The following histogram summarizes the number of points Nate has scored each game this season.

Based on this data, what is a reasonable estimate of the probability that Nate scores 8-11 points next basketball game?

a)

3/25

b)

5/25

c)

6/25

d)

8/25

9.

The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies.

Based on the data, what is a reasonable estimate of the probability that the next movie is an action movie?

a)

15/108

b)

15/93

c)

108/93

d)

93/108

10.

The following bar graph summarizes the weather conditions in Crayonton for each day this month so far.

Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow?

a)

14%

b)

17%

c)

21%

d)

25%

11.

Shun is going to flip a fair coin 450 times.

Complete the following statement with the best prediction. The coin will land tails up...

a)

Exactly 175 times

b)

Close to 175 times but probably not exactly 175 times

c)

Exactly 225 times

d)

Close to 225 times but probably not exactly 225 times

12.

Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and 3 jazz songs on it. Mekala plans to listen to 270 songs.

Complete the following statement with the best prediction.

Mekala will listen to...

a)

Exactly 60 country songs

b)

Close to 60 country songs but probably not exactly 60 country songs

c)

Exactly 210 country songs

d)

Close to 210 country songs but probably not exactly 210 country songs

13.

Michael, Ronald, Lidia, Alexandra, and Catherine are sharing a basket of fries. The table shows an incomplete probability model for who will eat the next fry.

If there are 200 fries in the basket, which of the following is the best prediction for the number of fries that Ronald will eat?

a)

10

b)

36

c)

60

d)

64

14.

Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.


If the road trip involves 640 km of driving, which of the following is the best prediction for the number of kilometers that Avel will drive?

a)

80

b)

160

c)

240

d)

320

15.

A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample.

The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.

Use the observed frequencies to create a probability model for the quality of the next high-quality computer purchased.

a)

711/184

b)

711

c)

711/895

d)

184/711

16.

Princess Kate is trying on wedding dresses. Each dress is too small, fits well, or is too big. Princess Kate estimates that 40%

of dresses will be too small and that 25% of dresses will be too big.

If she were to try on 500 dresses, which of the following is the best prediction for the number of dresses that would fit well?

a)

125

b)

175

c)

200

d)

250

17.

Nour and Rana are shopping for a Christmas tree. They are deciding between 2 different types of trees (real and fake) and 4 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.

Whose display correctly represents the sample space?

a)
b)
c)

Both

d)

Neither

18.

You're playing a fantasy game that allows you to create your own character. There are 5 options for the race of the character, and there are 3 options for the character's main tool.

If you randomly choose the race and the tool, which of these diagrams can be used to find all of the possible outcomes?

a)
b)
c)

Both

d)

Neither

19.

You've decided to take 3 steps and randomly choose left or right as the direction each time.

Which of these tree diagrams can be used to find the probability of taking any possible combination of 2 lefts and 1 right?

a)

Diagram A

b)

Diagram B

c)

Both

d)

Neither

20.

If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?

a)

1/2

b)

1/6

c)

1/8

d)

1/10

21.

If you roll two fair six-sided dice, what is the probability that the dice show the same number?

a)

1/6

b)

1/9

c)

1/12

d)

1/36

22.

You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).

If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

a)

1/16

b)

15/16

c)

1/4

d)

3/4

23.

Before sending track and field athletes to the Olympics, the U.S. holds a qualifying meet.

The upper dot plot shows the distances (in meters) of the top 8 shot putters in the preliminary round of the 2012 Olympic games. The lower dot plot shows the top 8 throwers in the shot put at the U.S. qualifying meet.

Which pieces of information can be gathered from these dot plots?

a)

The top 8 Olympic shot putters in the preliminary round threw farther on average than the top 8 U.S qualifiers.

b)

The distances of the top 8 Olympic shot putters vary noticeably more than those of the top 8 U.S qualifiers.

c)

None of the above

24.

Before sending track and field athletes to the Olympics, the U.S. holds a qualifying meet.

The upper box plot shows the top 12 men's long jumpers at the U.S. qualifying meet. The lower box plot shows the distances (in meters) achieved in the men's long jump at the 2012 Olympic games.

Which pieces of information can be gathered from these box plots?

a)

The Olympic jumps were farther on average than the U.S. qualifier jumps.

b)

All of the Olympic jumps were farther than all of the U.S. qualifier jumps.

c)

The Olympic jumps vary noticeably more than the U.S. qualifier jumps.

d)

None of the above

25.

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and 15% answered “Yes.”

Based on this data, which of the following conclusions are valid?

a)

15% of the outfielders on the baseball team like broccoli, but we cannot conclude anything about the population.

b)

15% of all students on the baseball team at Ridgemont High like broccoli

c)

15% of all students at Ridgemont High like broccoli

26.

The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.

Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?

a)

Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.

b)

Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those student whose numbers are selected.

27.

The Adventure Zone amusement park asked all of their employees who attend college how many hours of homework they had per week and determined that they had an average of 24 hours of homework per week.

Based on this data, which of the following conclusions are valid?

a)

24% of all of the amusement park employees who attend school have homework each week.

b)

24% of all of the amusement park employees who attend college have homework each week.

c)

The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.

28.

Bounce Club surveyed a random sample of 55 of their members about their favorite type of music. Of the members surveyed, 22 said that jazz is their favorite type of music. There are 422 Bounce Club members.

Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music?

a)

22

b)

141

c)

169

d)

253

29.

Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The table below shows the results of the survey. There are 308 camp participants this year.

Based on the data, what is the most reasonable estimate for the number of this year's camp participants who will need a medium shirt?

a)

21

b)

31

c)

77

d)

118

30.

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

a)

25

b)

30

c)

39

d)

59

31.
Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  The Mean is 8
a)
3
b)
5
c)
1
d)
2
32.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
33.
Which mean absolute deviation would have a greater variability or spread?  4.2 or 8.5?
a)
4.2
b)
8.5
34.
How would you describe this distribution?
a)
Left Skewed
b)
Symmetrical
c)
Right Skewed
d)
Uniform
35.
How would you describe this distribution?
a)
Left skewed
b)
Uniform
c)
Right Skewed
d)
Symmetrical
36.
How would you describe this distribution?
a)
Left skewed
b)
Symmetrical
c)
Right skewed
d)
Uniform
37.

Jada collects data about the number of letters people get in the mail each week. The population distribution is shown in the dot plot.


Which of the following dot plots are likely to represent the means from samples of size 10 from this population?

a)
b)
38.

Noah is interested in comparing the number of movies watched by students and teachers over the winter break. He takes a random sample of 10 students and 10 teachers and makes a dot plot of their responses.

Noah then computes the measures of center and variability for each group:

• Students: Mean = 5.7 movies, MAD = 0.76 movies

• Teachers: Mean = 2.7 movies, MAD = 0.9 movies

  1. Is Noah's choice of mean and MAD appropriate for the data table he has?
  2. Should Noah conclude that there is a meaningful difference in the mean number of movies watched over winter break between the two groups?
a)
  1. yes 2. yes
b)
  1. yes 2. no
c)
  1. no 2. yes
d)
  1. no 2. no
39.

What measure of center is shown in the box plot? What measure of variability? What are the values for each of these characteristics?

a)

Mean & MAD

Mean= 48

MAD= 6

b)

Mean & IQR

Mean= 48

IQR= 6

c)

Median & MAD

Meidan= 48

MAD= 6

d)

Median & IQR

Meidan= 48

IQR= 6

40.

Using the same measure of variability, what would be meaningfully different from the box plot shown?

a)

Median = 6

b)

Median = 8

c)

Median = 10

d)

Median = 12