AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Comparing Data Sets

Comparing Data Sets — Unit test Answers

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1
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The five-number summary of a data set is given below.Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20Which of the following is a true statement about outliers for this distribution?

A
The distribution’s maximum is an outlier.
B
The distribution’s minimum is an outlier.
C
There are no outliers for this distribution.
D
Distribution outliers cannot be determined.
2
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The parallel dotplots below display the number of absences for students in each of two classes.

Question illustration
A
The range for the distribution of the number of absences is larger for class D.
B
The range for the distribution of the number of absences is larger for class C.
C
The IQR for the distribution of the number of absences is larger for class D.
D
The IQR for the distribution of the number of absences is larger for class C.
3

Data were collected from a typing class with 10 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 70 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

A
The standard deviation would be noticeably larger.
B
The standard deviation would be noticeably smaller.
C
The standard deviation would be about the same, perhaps a little larger.
D
The standard deviation would be about the same, perhaps a little smaller.
4

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
2.38 first cousins
B
2.52 first cousins
C
5.65 first cousins
D
6.36 first cousins
5

best

Question illustration
I
It is easier to visually compare the means of the data.
I
It is easier to visually compare the standard deviations of the data.
I
It is easier to visually compare the medians of the data.
I
It is easier to visually compare symmetry and skew of the data.
6

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A
1
B
1.53
C
2
D
5
7

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.Which statement is a correct comparison of the distribution of granola bag weights for brands A and B?

Question illustration
A
The bag weights for brand A have less variability than the bag weights for brand B.
B
The bag weights for brand A have more variability than the bag weights for brand B.
C
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
D
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
8

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.Which statement is true about the data?

Question illustration
T
The mean of Box A is greater than the mean of Box B.
T
The mean of Box B is greater than the mean of Box A.
T
The median of Box A is greater than the median of Box B.
T
The median of Box B is greater than the median of Box A.
9

The scores for 21 students on an exam are summarized in the stemplot below.

Question illustration
A
The mean and median will both increase.
B
Neither the mean nor the median will change.
C
The mean will increase but the median will decrease.
D
The mean will increase but the median will be unchanged.
10

Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group. Which statement is true about the distributions of completion times?

Question illustration
T
The students in Group A tended to complete the quiz in less time.
T
The median of Group A is greater than the median of Group B.
T
The means of both groups are about the same.
T
The standard deviation of Group B is less than the standard deviation of Group A.
11

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

A
10
B
11.5
C
13
D
13.5
12

The histogram represents the daily low and high temperatures in a city during March. Which comparison of the distributions is true?

Question illustration
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is skewed right.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is skewed right.
13

The stemplot below displays the grades (out of 30) that 26 students received on a quiz.Which of the following boxplots correctly displays the distribution of quiz grades?

Question illustration
A
A boxplot. A number line labeled quiz grades goes from 12 to 30. Points are at 12, 14, 15, and 16. The whiskers range from 20 to 30, and the box ranges from 23 to 27. A line divides the box at 25.
Option A
B
A boxplot. A number line labeled quiz grades goes from 12 to 30. The whiskers range from 12 to 30, and the box ranges from 23 to 27. A line divides the box at 25.
Option B
C
A boxplot. A number line labeled quiz grades goes from 12 to 30. Points are at 12 and 14. The whiskers range from 15 to 30, and the box ranges from 22 to 27. A line divides the box at 25.
Option C
D
A boxplot. A number line labeled quiz grades goes from 12 to 30. The whiskers range from 12 to 30, and the box ranges from 18 to 27. A line divides the box at 24.
Option D
14

The fuel economies in miles per gallon (mpg) for nine vehicles are listed below.16, 18, 20, 24, 24, 24, 24, 31, 32

A
The mean and median will both increase.
B
The mean will increase and the median will decrease.
C
The mean will increase and the median will not change.
D
The mean will decrease and the median will not change.
15

The resting heart rates for a sample of 15 students are recorded in the following stemplot.

Question illustration
A
66.0 beats per minute
B
69.0 beats per minute
C
69.9 beats per minute
D
70.0 beats per minute

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