Boxplot Comparison Refer to the boxplots shown below that are drawn on the same scale. One boxplot represents weights of men, and the other boxplot represents weights of women. Which boxplot represents weights of women? Explain.

Short Answer

Expert verified

The boxplot at the bottom represents women’s weights as values in this plot are lower than the plot at the top. Generally, women have lower weights than men.

Step by step solution

01

Given information

Two boxplots are displayed. One plot corresponds to men’s weights, and the other corresponds to women’s weights.

Five Number Summary

Boxplot 1

Boxplot 2

Minimum value

50.3

39

First quartile

73

62.1

Second quartile (Median)

84.4

74

Third quartile

95.8

90.2

Maximum value

144.9

150.4

02

Interpreting boxplot

Aboxplotis a plot that depicts the five main numerical attributes of a dataset. The attributes are:

Minimum value: Left/Top Whisker of the plot

Maximum value: Right/ Bottom Whisker of the plot

First quartile: Left boundary of the box

Second quartile/Median: Middle partition of the box

Third quartile: Right boundary of the box

The boxplots of two or more datasets can be compared by analyzing these five values summarized using the datasets.

03

Comparison of the given boxplots

It can be observed that the boxplot at the top has values greater than those displayed in the bottom boxplot. Moreover, it is a general trend thatwomen’s weights are lower than men’s weights.

Therefore, it can be concluded that thebottom boxplot (boxplot 2) depicts the weights of women.

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 Vaia!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

In Exercises 5–20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as “minutes”) in your results. (The same data were used in Section 3-1, where we found measures of center. Here we find measures of variation.) Then answer the given questions.

Peas in a Pod Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled yellow, and 4 = wrinkled-green. Can the measures of variation be obtained for these values? Do the results make sense?

2 1 1 1 1 1 1 4 1 2 2 1 2 3 3 2 3 1 3 1 3 1 3 2 2

In Exercises 21–28, use the same list of Sprint airport data speeds (Mbps) given for Exercises 17–20. Find the indicated percentile or quartile.

P40

USA Today published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S. drivers? Why or why not?

In Exercises 21–24, find the coefficient of variation for each of the two samples; then compare the variation. (The same data were used in Section 3-1.) 21.

Parking Meter Theft Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks employees of grand larceny. The data were provided by the attorney for New York City, and they are listed on the DASL Website. Do the two samples appear to have different amounts of variation?

Collection Contractor Was Brinks 1.3 1.5 1.3 1.5 1.4 1.7 1.8 1.7 1.7 1.6

Collection Contractor Was Not Brinks 2.2 1.9 1.5 1.6 1.5 1.7 1.9 1.6 1.6 1.8

z Scores If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: -2.00, -1.00, 0, 1.00, 2.00? Why?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free