/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 12 Clothing Prices, The table lists... [FREE SOLUTION] | 91影视

91影视

Clothing Prices, The table lists the prices of a set of comparable items of women鈥檚 and men鈥檚 and men鈥檚 clothing in 9 different cities.

  1. Make box-and-whisker plots for the women鈥檚 and men鈥檚 data.
  2. How do the prices in Houston compare with the rest of the cities for both women鈥檚 and men鈥檚 clothing? Explain your reasoning.
  3. Interpret, would you say women鈥檚 clothing prices or men鈥檚 clothing prices vary more in the cities in the survey? Explain your reasoning.

    City

    奥辞尘别苍鈥檚

    惭别苍鈥檚

    New York

    \(690

    \)1190

    Los Angeles

    \(450

    \)620

    Chicago

    \(590

    \)1100

    Houston

    \(440

    \)900

    Paris

    \(430

    \)700

    London

    \(350

    \)660

    Toronto

    \(310

    \)850

    Tokyo

    \(760

    \)1050

    Mexico City

    \(380

    \)620

Short Answer

Expert verified

a.

Box-and-whisker plot for women鈥檚 data

Box-and-whisker plot for men鈥檚 data:

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

c. The clothing price of men vary much more than the women鈥檚 clothing price.

a.

Box-and-whisker plot for women鈥檚 data:

Box-and-whisker plot for men鈥檚 data:

Step by step solution

01

Given information. 

The following table is given.

City

奥辞尘别苍鈥檚

惭别苍鈥檚

New York

$690

$1190

Los Angeles

$450

$620

Chicago

$590

$1100

Houston

$440

$900

Paris

$430

$700

London

$350

$660

Toronto

$310

$850

Tokyo

$760

$1050

Mexico City

$380

$620

02

Calculation.

The women鈥檚 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 are365and640respectively.

The lower limit and upper limit are310and760respectively.

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

The men鈥檚 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 are640and1075respectively.

The lower limit and upper limit are620and1190respectively.

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

03

Part b. Step 1: Given information.

The following table is given:

City

奥辞尘别苍鈥檚

惭别苍鈥檚

New York

$690

$1190

Los Angeles

$450

$620

Chicago

$590

$1100

Houston

$440

$900

Paris

$430

$700

London

$350

$660

Toronto

$310

$850

Tokyo

$760

$1050

Mexico City

$380

$620

04

Explanation. 

For women鈥檚 clothing, it can be seen from the plot that, the price at Houston is the mean price.

For men鈥檚 clothing, it is seen that, 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鈥檚 and women鈥檚 clothing.

05

Part c. Step 1: Given information.

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

Box-and-whisker plot for women鈥檚 data:

Box-and-whisker plot for men鈥檚 data:

06

Explanation. 

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

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.