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

Boxplots and Outliers Answers

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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 the IQR for this distribution?

A
1
B
3
C
4
D
5
2
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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
3

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.
4

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
5

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

Question illustration
A
The distribution of quiz grades is skewed left.
B
The distribution of quiz grades has an IQR of 4.
C
The distribution of quiz grades has four outliers.
D
The distribution of quiz grades has a center around 21.
6

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
7

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.
8

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.Which of the following statements is not true concerning the comparison of the bag weights for the two brands?

Question illustration
A
Almost 25% of the weights for brand B are less than the lowest weight for brand A.
B
About 50% of the weights for brand A are within the top 25% of the weights for brand B.
C
More than 75% of the weights for brand A are within the top 50% of the weights for brand B.
D
More than 75% of the weights for brand A are higher than the top 25% of the weights for brand B.
9

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below.Minimum: 1.8 Q1: 3.3 Median: 3.8 Q3: 4.5 Maximum: 9.2The shortest song performed by the group is 1.8 minutes while the longest three songs are 5.7, 7.5, and 9.2 minutes. Are any of these song lengths outliers?

A
No, none of the lengths are outliers.
B
Yes, 7.5 and 9.2 are outliers.
C
Yes, 1.8 and 9.2 are outliers.
D
Yes, 5.7, 7.5, and 9.2 are outliers.
10

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.

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