Boxplots and Outliers — Unit test

Question 1

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?

Revolt · Accepted Answer

Yes, 7.5 and 9.2 are outliers.

Question 2

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?

Revolt · Accepted Answer

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.

Question 3

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

Revolt · Accepted Answer

1.5(IQR)

Question 4

The boxplot below displays the arm spans for 44 students.

Revolt · Accepted Answer

143, 162, 168, 180, 202

Question 5

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?

Revolt · Accepted Answer

4

Question 6

The boxplot displays the arm spans for 44 students.

Revolt · Accepted Answer

There are no outliers in this distribution.

Question 7

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

Revolt · Accepted Answer

The quiz grades for class 1 have more variability than the quiz grades for class 2.

Question 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?

Revolt · Accepted Answer

More than 75% of the weights for brand A are higher than the top 25% of the weights for brand B.

Question 9

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

Revolt · Accepted Answer

12, 14, 15, 16

Question 10

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

Revolt · Accepted Answer

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.

Boxplots and Outliers — Unit test Answers

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