Question

(a) identify the shape of the distribution, and (b) determine the five - number summary. assume that each number in the five - number summary is an integer. a. choose the correct answer below for the shape of the distribution a. the distribution is skewed right b. the distribution is skewed left c. the distribution is roughly symmetric d. the shape of the distribution cannot be determined from the boxplot.

Explanation:

Step1: Analyze boxplot symmetry

Observe that the median (middle line of the box) is centered in the box, and the whiskers are roughly equal in length from the box.

Step2: Match to distribution shape

A centered median and balanced whiskers indicate a symmetric distribution.

Step1: Identify minimum value

The left whisker ends at the smallest value, which is 0.

Step2: Identify first quartile (Q1)

The left edge of the box is at 10.

Step3: Identify median (Q2)

The middle line of the box is at 15.

Step4: Identify third quartile (Q3)

The right edge of the box is at 18.

Step5: Identify maximum value

The right whisker ends at the largest value, which is 22.

Answer:

C. The distribution is roughly symmetric

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