AnswersSC-Statistical Modeling SDPCIntroduction to Statistics

Introduction to Statistics — Unit test Answers

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People at a library were asked how many states they had visited. Below is a stemplot of all of the data except for one value.

Question illustration
A
If the missing data value were 32, the IQR would change substantially.
B
If the missing data value were 32, the range would change substantially.
C
If the missing data value were 50, the IQR of the data would change substantially.
D
If the missing data value were 50, the range of the data would change substantially.
43

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are shown below.7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

A
Her score does not change.
B
Her score is lower after removing the highest and lowest scores.
C
Her score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her score increases or decreases.
44

Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint.

Question illustration
A
99–102
B
102–105
C
105–108
D
108–111
45

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.

Question illustration
A
2.0 people per residence
B
2.5 people per residence
C
2.8 people per residence
D
3.5 people per residence
46

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

A
102
B
104
C
105
D
110
47

The parallel dotplots below display the number of hours spent studying for a final exam by each of two classes.

Question illustration
A
The range for the distribution of the number of hours spent studying for calculus is larger.
B
The range for the distribution of the number of hours spent studying for statistics is larger.
C
There is a larger standard deviation in the distribution of the number of hours spent studying for calculus.
D
The standard deviation for the distributions of number of hours spent studying is the same for both classes.
48

In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of the length of play times was 43 minutes. Which of the following is the best interpretation of this value?

A
Fifty percent of the video game data is below 43 minutes.
B
The middle half of the video game data has a range that is 43 minutes wide.
C
The number of minutes played by students typically varies by about 43 minutes from the mean.
D
The difference between the smallest and largest values in the video game data was 43 minutes.
49

Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below.26, 26, 21, 22, 20, 25, 35

A
0 pounds
B
4.66 pounds
C
5.03 pounds
D
25.33 pounds
50

The stemplot below displays the grades (out of 30) that 26 students received on a quiz.

Question illustration
A
There are no outliers.
B
12, 14, 15
C
12, 14, 30
D
12, 14, 15, 16
51

The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s statistics classes.

Question illustration
A
The quiz grades for class 1 have more variability than the quiz grades for class 2.
B
The quiz grades for class 1 have less variability than the quiz grades for class 2.
C
The quiz grades for class 1 are not as spread out as the quiz grades for class 2.
D
The quiz grades for class 1 are higher, on average, than the quiz grades for class 2.
52

A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown below.6, 2, 7, 8, 8, 8, 5, 10, 10

A
2.52 first cousins
B
3 first cousins
C
3.5 first cousins
D
8 first cousins
53

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

A
The mean is less than the median.
B
The mean is greater than the median.
C
The mean and median are approximately equal.
D
The actual ages of all runners are needed to decide.
54

A sample of 50 students was surveyed about their time spent in front of a screen (laptop, tablet, phone, etc.). Each interval contains the left endpoint but not the right endpoint.

Question illustration
A
[4,5)
B
[5,6)
C
[6,7)
D
[7,8)
55

The heights of a sample of 15 students are recorded in the stemplot below.

Question illustration
A
65
B
65.2
C
66
D
67
56

The five-number summary of a data set is given below.Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20Which of the following equals 1.5(IQR)?

A
1.5
B
4.5
C
6
D
9
57

The parallel boxplots below display the bag weights of two different brands, A and B, of granola. Which brand of granola typically weighs more?

Question illustration
A
Brand A bags typically weigh more because the median of brand A is higher than that of brand B.
B
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
C
Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution.
D
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
58

A simple random sample of 10 people was asked how many first cousins they have. The results are listed below.10, 19, 20, 13, 13, 2, 10, 8, 25, 10

A
7.5
B
10
C
11.5
D
13
59

Which of the following statements is true about the IQR, range, and standard deviation?

A
The IQR is the least resistant to extreme values.
B
The IQR is the most resistant to extreme values.
C
The range is the most resistant to extreme values.
D
The standard deviation is the most resistant to extreme values.
60

The stemplot below displays the arm spans, in centimeters, for 20 students.

Question illustration
A
There are no outliers.
B
153
C
202
D
192, 202

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