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 distribution shape

A boxplot with a long right whisker (tail extending right) indicates a right-skewed distribution.

Step2: Find minimum value

The leftmost whisker ends at 1, so min = 1.

Step3: Find first quartile (Q1)

The left edge of the box is at 3, so Q1 = 3.

Step4: Find median (Q2)

The line inside the box is at 6, so median = 6.

Step5: Find third quartile (Q3)

The right edge of the box is at 9, so Q3 = 9.

Step6: Find maximum value

The rightmost whisker ends at 18, so max = 18.

Answer:

a. A. The distribution is skewed right.
b. 1, 3, 6, 9, 18