AnswersSC-Statistical Modeling SDPCIntroduction to Statistics

Introduction to Statistics — Unit test Answers

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Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is displayed in the histogram below.

Question illustration
A
uniform
B
skewed left
C
skewed right
D
roughly symmetric
42
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The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.

Question illustration
A
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
B
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
C
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
D
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
43

The dotplot below displays 26 students’ scores on a 30-point statistics quiz.

Question illustration
A
The distribution of quiz scores is skewed left with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
B
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
C
The distribution of quiz scores is unimodal symmetric with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
D
The distribution of quiz scores is unimodal symmetric with a center around 26 and varies from 20 to 30. There are possible outliers at 12, 14, 15, and 16.
44

A random sample of teenagers were surveyed and asked about their favorite sport. The pie chart below displays their responses.

Question illustration
A
Fewer students in the sample listed volleyball as their favorite sport than football.
B
More students in the sample listed lacrosse as their favorite sport than basketball.
C
More students in the sample listed basketball as their favorite sport than volleyball.
D
The highest percentage of teenagers in the sample listed soccer as their favorite sport.
45

The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.Which of the following is the corresponding frequency table?

Question illustration
A
Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Option A
B
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Option B
C
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Option C
D
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.
Option D
46

Auto racing is a sport enjoyed by many people. In each race, there may be up to 25 cars on the racetrack. Which of the following is NOT an example of a quantitative variable you might use to describe a car in a race?

A
the brand of car
B
the number of tires used
C
the number of laps completed
D
the average speed (in mpg)
47

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.

Question illustration
A
$150–$175
B
$175–$200
C
$200–$225
D
$225–$250
48

The side-by-side stemplot below displays the arm spans, in centimeters, for two classes.

Question illustration
A
The proportion of arm spans that are longer than 170 cm is higher in Class B than in Class A.
B
The proportion of arm spans that are longer than 170 cm is higher in Class A than in Class B.
C
The proportion of arm spans that are longer than 170 cm is about the same for Class A and Class B.
D
The proportion of arm spans that are longer than 170 cm cannot be compared with the given information.
49

A movie theater offers many movie selections for its customers. The table below shows a summary of five movies currently offered and whether the movie is appropriate for children.What are the individuals in the data set?

Question illustration
A
movie titles
B
movie types
C
lengths
D
critics’ scores
50

The stemplot below displays the arm spans, in centimeters, for 44 students.

Question illustration
A
41%
B
45%
C
55%
D
59%

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