AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Boxplots and Outliers

Boxplots and Outliers Answers

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1
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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.
2
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The parallel boxplots below display the number of bite-size snacks that students could grab with one hand for two statistics classes.Which statement best compares the shapes of the distributions of the number of bite-sized snacks for the two classes?

Question illustration
A
The distribution for class 1 and the distribution for class 2 both appear to be fairly symmetric.
B
The distribution for class 1 appears to be skewed left and the distribution for class 2 appears to be symmetric.
C
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
D
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be slightly skewed left.
3

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
4

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below.0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6Which of the following boxplots correctly displays the data?

A
A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 0. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option A
B
A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 6. The whiskers range from 0 to 5, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option B
C
A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option C
D
A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 0 to 6, and the box ranges from 2.5 to 5. A line divides the box at 3.
Option D
5

The boxplot below displays the arm spans for 44 students.

Question illustration
A
140, 160, 170, 180, 210
B
143, 162, 168, 180, 202
C
143, 165, 175, 185, 200
D
145, 158, 168, 182, 202
6

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.
7

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.
8

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
9

The boxplot displays the arm spans for 44 students.

Question illustration
A
There are no outliers in this distribution.
B
The shape of the boxplot is fairly symmetric.
C
The range of the distribution is around 60 cm.
D
The center of the distribution is around 180 cm.
10

The stemplot below displays the times, in seconds, for 25 students to run 100 meters.

Question illustration
A
A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 22 to 29, and the box ranges from 24 to 28. A line divides the box at 26.
Option A
B
A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 23 to 29, and the box ranges 24 to 28. A line divides the box at 26.
Option B
C
A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range fro 22 to 30, and the box ranges from 24 to 28. A line divides the box at 27.
Option C
D
A boxplot. A number line labeled 100 meter times (seconds) goes from 22 to 30. The whiskers range from 22 to 30, and the box ranges from 24.5 to 28. A line divides the box at 26.
Option D
11

Which of the following is used to identify outliers in a set of data?

A
1.5(IQR)
B
1.5(range)
C
2(mean)
D
2(median)
12

The parallel boxplots below display the number of bite-size snacks that students could grab with one hand for two statistics classes.Which statement best compares the shapes of the distributions of the number of bite-sized snacks for the two classes?

Question illustration
A
The distribution for class 1 and the distribution for class 2 both appear to be fairly symmetric.
B
The distribution for class 1 appears to be skewed left and the distribution for class 2 appears to be symmetric.
C
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be symmetric.
D
The distribution for class 1 appears to be skewed right and the distribution for class 2 appears to be slightly skewed left.
13

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

Question illustration
A
Class 1 performed better because their scores ranged from 12 to 30.
B
Class 1 performed better because their median score is higher than the median score for class 2.
C
Class 2 performed better because their median score is higher than the median score for class 1.
D
Class 2 performed better because the distribution of quiz grades is approximately symmetric.
14

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
15

Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below.0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6Which of the following boxplots correctly displays the data?

A
A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 0. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option A
B
A boxplot. A number line labeled number of siblings goes from 0 to 6. A point is at 6. The whiskers range from 0 to 5, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option B
C
A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 1 to 6, and the box ranges from 2.5 to 4. A line divides the box at 3.
Option C
D
A boxplot. A number line labeled number of siblings goes from 0 to 6. The whiskers range from 0 to 6, and the box ranges from 2.5 to 5. A line divides the box at 3.
Option D
16

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 the IQR for this distribution?

A
1
B
3
C
4
D
5
17

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

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