Unit Test — Unit test Answers

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The table below shows all of the possible outcomes for rolling two six-sided number cubes.What is the probability of rolling a sum of 8?

Question illustration
A
StartFraction 1 over 12 EndFraction
Option A
B
StartFraction 5 over 36 EndFraction
Option B
C
StartFraction 1 over 6 EndFraction
Option C
D
StartFraction 7 over 36 EndFraction
Option D
2
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Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results.8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21What is the ratio of the total number of students who used their computers to the total number of students surveyed?

A
or
Option A
B
or
Option B
C
or
Option C
D
or
Option D
3

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below.Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last WeekThis WeekMean 3.5 in.2.7 in.Mean Absolute Deviation1.2 in.0.5 in.Which expression compares the difference of the two means to this week’s mean absolute deviation?

A
StartFraction 0.8 over 0.7 EndFraction
Option A
B
StartFraction 2.7 over 0.7 EndFraction
Option B
C
StartFraction 0.8 over 0.5 EndFraction
Option C
D
StartFraction 2.7 over 0.5 EndFraction
Option D
4

The theoretical probability of an event occurring is . Which best describes the experimental probability associated with this event?

Question illustration
A
Out of every 5 trials, the desired outcome will occur exactly 2 times.
B
Out of every 5 trials, the desired outcome will occur approximately 2 times.
C
Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes.
D
Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.
5

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?

A
Jillian won the game because her score varied less than Dawn’s score.
B
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
C
Dawn won the game because the person with the greater mean played better.
D
Dawn won the game because her mean absolute deviation was less than Jillian’s.
6

A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean?

A
StartFraction 1 over 400 EndFraction
Option A
B
StartFraction 1 over 380 EndFraction
Option B
C
StartFraction 3 over 25 EndFraction
Option C
D
StartFraction 12 over 95 EndFraction
Option D
7

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes. Which statement best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes?

A
Gerald will need to conduct more trials than Kasey because there are fewer possible outcomes in his experiment.
B
Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment.
C
Gerald will need to conduct more trials because he needs to make up for the difference in the number of possible outcomes.
D
Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small numbers of possible outcomes are the same.
8

Melanie asked 15 random seventh-grade students how many soccer games they attended this school year. The number of games attended by each student is listed below.2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4What is the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed?

A
StartFraction 2 over 15 EndFraction
Option A
B
StartFraction 2 over 13 EndFraction
Option B
C
StartFraction 13 over 15 EndFraction
Option C
D
StartFraction 13 over 2 EndFraction
Option D
9

Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.Which statement about the rainfall is true?

A
More rain fell two months ago than last month.
B
About the same amount of rain fell two months ago as last month.
C
Last month, the amount of rain that fell each day varied about the same as the month before.
D
Last month, the amount of rain that fell each day varied less than the month before.
10

Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?

A
25
B
30
C
75
D
83
11

Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent?

A
1
B
6
C
600
D
1,000
12

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades SidneyPhilMean8278Mean Absolute Deviation3.283.96Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A
StartFraction 82 over 3.28 EndFraction
Option A
B
StartFraction 4 over 3.28 EndFraction
Option B
C
StartFraction 4 over 0.68 EndFraction
Option C
D
StartFraction 82 over 0.68 EndFraction
Option D
13

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. Using proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?

A
About 12 seventh-grade students like reggae music.
B
About 36 seventh-grade students like reggae music.
C
About 60 seventh-grade students like reggae music.
D
About 108 seventh-grade students like reggae music.
14

Myrna wants to know about how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns. 3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?

A
All middle school students own jeans.
B
The average middle school student owns around two pairs of jeans.
C
Most seventh-grade students prefer cargo pants to jeans.
D
An average middle school student owns three or more jeans.
15

What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?

A
Negative StartFraction 15 Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
StartFraction 22 Over 9 EndFraction
Option C
D
StartFraction 24 Over 7 EndFraction
Option D
16

Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?

A
46 inches and 61 inches
B
47 inches and 66 inches
C
52 inches and 63 inches
D
53 inches and 68 inches
18

The annual salaries of the sales team at Pat’s company are listed in the table below.$42,000$80,000$50,000$56,000$45,000$63,000$42,000$70,000What is the mean salary of a salesperson at the company?

A
$38,000
B
$53,000
C
$56,000
D
$58,000
19

When a scatterplot is created from a table of values, which statement is correct?

A
It is possible for two points to have the same x-coordinate and the same y-coordinate.
B
It is possible for two points to have the same x-coordinate, but it is impossible for them to have the same y-coordinate.
C
It is possible for two points to have the same y-coordinate, but it is impossible for them to have the same x-coordinate.
D
It is impossible for two points to have the same x-coordinate or the same y-coordinate.
20

Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?

A
1
B
6
C
12
D
18

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