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

b. the five-number summary is $\square, \square, \square, \square, \square$

Explanation:

Step1: Analyze boxplot symmetry

The boxplot has the median at the center of the box, and whiskers of roughly equal length on both sides, so the distribution is symmetric.

Step2: Identify minimum value

The left whisker ends at the smallest value, which is 2.

Step3: Identify first quartile (Q1)

The left edge of the box is at 7.

Step4: Identify median (Q2)

The line inside the box is at 10.

Step5: Identify third quartile (Q3)

The right edge of the box is at 13.

Step6: Identify maximum value

The right whisker ends at the largest value, which is 19.

Answer:

a. C. The distribution is roughly symmetric.
b. 2, 7, 10, 13, 19