Chapter 11, Problem 2PT

(a)

To determine

To create: The box and whisker plot and then describe the shape of the distribution.

Answer to Problem 2PT

The box and whisker plot is shown in figure (1) and the distribution is “Positively skewed.”

Explanation of Solution

Given:

Consider the given table.

Calculation:

The box and whisker plot can be drawn by using graphing utility as follows.

  

Figure (1)

The right whisker is longer than the left whisker so the distribution is “Positively skewed.”

Therefore, the box and whisker plot is shown in figure (1) and the distribution is “Positively skewed.”

(b)

To determine

To describe: The center and spread of the data using either mean and standard deviation or the five number summary.

Answer to Problem 2PT

The range is from $60$ inches to $74$ inches. The median is $64$ inches and half of the data are between $63$ inches and $67$ inches.

Explanation of Solution

Given:

Consider the given table.

Calculation:

Since the distribution is skewed, use the five number summary as follows.

  

The range is from $60$ inches to $74$ inches. The median is $64$ inches and half of the data are between $63$ inches and $67$ inches.