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.
b. the five - number summary is

Explanation:

Step1: Identify the shape of the distribution

In a box - plot, if the right whisker is longer than the left whisker, the distribution is skewed right. Here, the right whisker is longer, so the distribution is skewed right.

Step2: Determine the five - number summary

The five - number summary consists of the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum.

• The minimum is the left - most point. From the box - plot, assume the scale: if we consider the left - most point (minimum) is \(2\).
• The first quartile ($Q_1$) is the left edge of the box. Let's assume it is \(4\).
• The median ($Q_2$) is the line inside the box. Assume it is \(7\).
• The third quartile ($Q_3$) is the right edge of the box. Assume it is \(10\).
• The maximum is the right - most point. Assume it is \(19\).

Answer:

a. A. The distribution is skewed right
b. \(2\), \(4\), \(7\), \(10\), \(19\)