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 roughly symmetric.
c. the distribution is skewed left.
d. the shape of the distribution cannot be determined from the boxplot.

Explanation:

Step1: Analyze boxplot skew direction

A boxplot with a long right whisker and the median left of the box center indicates right skew.

Step2: Identify five-number summary values

• Minimum (left whisker end): $1$
• First Quartile (Q1, left box edge): $2$
• Median (box line): $6$
• Third Quartile (Q3, right box edge): $9$
• Maximum (right whisker end): $18$

Answer:

a. A. The distribution is skewed right.
b. Five-number summary: $1, 6, 9, 18$ (or written as $\text{Min}=1$, $Q_1=2$, $\text{Median}=6$, $Q_3=9$, $\text{Max}=18$)