Chapter 13.4, Problem 10PPS

(a)

To determine

To Find:Set of data that has greater range.

Answer to Problem 10PPS

Women Olympic swimmer has a greater range of ages than Men Olympic swimmers.

Explanation of Solution

Given:Refer to the double box-and-whisker plot shown that shows the ages of the U.S Men’s and Women’s Olympic Swimming Team.

  

Finding range of Ages of Women Olympic Swimmers

Highest age = $41$

Lowest age = $15$

Then

Range = highest age − lowest age

  $\begin{array}{l}=41-15\\ =26\end{array}$

The range is $26$ years.

Finding range of Ages of Men’s Olympic Swimmers

Highest age = $32$

Lowest age = $19$

Then

Range = highest age − lowest age

  $\begin{array}{l}=32-19\\ =13\end{array}$

The range is $13$ years.

It is concluded that Women Olympic swimmer has a greater range of ages than Men Olympic swimmers.

(b)

To determine

To Find: Number of outliers are there in the data

Answer to Problem 10PPS

Two

Explanation of Solution

Given: Refer to the double box-and-whisker plot shown that shows the ages of the U.S Men’s and Women’s Olympic Swimming Team.

  

From the data given

It is seen that there is one outlier in the data of the ages of Women Olympic swimmer andthere is one outlier in the data of the ages of Men Olympic swimmer.

Hence

There are total two outliers in the data.

(c)

To determine

To Find:Percent of the women’s team is $24$ years or younger?

Answer to Problem 10PPS

  $75\%$

Explanation of Solution

Given: Refer to the double box-and-whisker plot shown that shows the ages of the U.S Men’s and Women’s Olympic Swimming Team.

  

By referring the figure of the number line given

It is seen that $75\%$ of the Women’s Olympic Swimming team is $24$ years or younger.

(d)

To determine

To Compare:Ages of the women to the men.

Answer to Problem 10PPS

The least age of the women team is $15$ while the least age of the men tem is $19$

Women team is lower than men team in terms of maximum age.

The range of ages in the women’s team is more than the men’s team

Explanation of Solution

Given: Refer to the double box-and-whisker plot shown that shows the ages of the U.S Men’s and Women’s Olympic Swimming Team.

  

The least age of the women team is $15$ while the least age of the men tem is $19$ .

But

Women team is lower than men team in terms of maximum age.

The range of ages in the women’s team is more than the men’s team.