Chapter 11.2, Problem 12E

a.

To determine

To make box-and-whisker plot for the women’s and men’s data.

Answer to Problem 12E

Box-and-whisker plot for women’s data:

  

Box-and-whisker plot for men’s data:

  

Explanation of Solution

Given information:

The following table is given:

  

Calculation :

The women’s data is arranged in ascending order:

  $310,350,380,430,440,450,590,690,760$

The median is $440$ .

The lower quartile and upper quartile are $365\text{ and 640}$ respectively.

The lower limit and upper limit are $310\text{ and 760}$ respectively.

The box-and-whisker for women’s data can be drawn as:

  

The men’s data is arranged in ascending order:

  $620,620,660,700,850,900,1050,1100,1190$

The median is $850$ .

The lower quartile and upper quartile are $640\text{ and 1075}$ respectively.

The lower limit and upper limit are $620\text{ and 1190}$ respectively.

The box-and-whisker for men’s can be drawn as:

  

b.

To determine

To compare the prices in Houston with the rest of the cities.

Answer to Problem 12E

The prices in Houston is nearly equal or equal to the mean prices for both men’s and women’s clothing.

Explanation of Solution

Given information:

The following table is given:

  

Conclusion:

For women’s clothing, it can be seen from the plot that $\text{\$440}$ , the price at Houston is the mean price.

For men’s clothing, it is seen that $\text{\$900}$ , the price at Houston is very close to the mean price.

Hence, the prices in Houston is nearly equal or equal to the mean prices for both men’s and women’s clothing.

c.

To determine

To find whether the women’s clothing price or the men’s clothing price varies more in the cities.

Answer to Problem 12E

The clothing price of men vary much more than the women’s clothing price.

Explanation of Solution

Given information:

The following box-and-whisker plot is given to compare the prices:

Box-and-whisker plot for women’s data:

  

Box-and-whisker plot for men’s data:

  

Conclusion:

As it is seen from the above plots, in men’s clothing price there is a large difference from the median to the upper and lower quartile limits as compared to women’s clothing price.

Hence, the clothing price of men vary much more than the women’s clothing price.