AnswersCR_AQR_Advanced Quantitative Reasoning A_2111_SAISD 25-26Segmented Bar Graphs

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

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
5

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
6

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
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 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 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
10

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)

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