Robbery Locations. The Department of Justice and the Federal Bureau of Investigation published a compilation of crime statistics for the United States in Crime in the United States. The following table provides a frequency distribution for robbery type during a one-year period.

a. obtain a relative-frequency distribution.

b. draw a pie chart.

c. construct a bar chart.

Short Answer

Expert verified

a). The frequency distribution is,

b). The pie chart,

c). The bar-chart,

Step by step solution

01

Part (a) Step 1: Given Information

The data is given as

02

Part (a) Step 2: Explanation

The relative frequency can be calculated using the formula,

Relative Frequency=FrequencyNumberofObservations

The table below shows the frequency distribution.

03

Part (b) Step 1: Given Information

The data is given as,

04

Part (b) Step 2: Explanation

MINITAB has been used to create the pie chart.

The portion for each class in a pie chart is calculated by multiplying360°

by the appropriate relative frequencies.

The steps of drawing a pie chart are as follows:

Select Graph > Pie Chart from the drop-down menu.

Choose values for the chart from the table.

Under Categorical variable, select TYPE.

Under Summary variables, choose Frequency.

Choose the Slide Labels tab from the Labels menu.

Under Label pie slices with, look for Category name and Percentage.

Select OK.

Figure 1 shows the pie chart for the supplied data set.

05

Part (c) Step 1: Given Information

The data is given as,

06

Part (c) Step 2: Explanation

MINITAB has been used to create the bar chart.

The steps to making a bar chart are as follows:

Select Graph > Bar Chart from the drop-down menu.

Choose Values from a table based on what Bars indicate.

Click OK after selecting Simple.

Enter one column of FREQUENCY in Categorical variables.

Options for Charts

Show as Percentage is selected.

Select OK.

The graph below depicts the bar chart for the provided data set.

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

Acute Postoperative Days. Several neurosurgeons wanted to determine whether a dynamic system (Z-plate) reduced the number of acute postoperative days in the hospital relative to a static system (ALPS plate). R. Jacobowitz, Ph.D., an Arizona State University professor, along with G. Vishteh, M.D., and other neurosurgeons obtained the following data on the number of acute postoperative days in the hospital using the dynamic and static systems.

Age of Passenger Cars. According to R. L. Polk & Co., the average age of passenger cars in the United States was 9.1years in 2000. A sample of passenger cars taken this year provided the ages, in years, displayed in the following table. Construct a dotplot for the ages.

In the special report "Mousetrap: The Most-Visited Shoe and Apparel E-tailers" (Footwear News, Vol. 58 , No. 3, p. 18), we found the following data on the average time, in minutes, spent per user per month from January to June of one year for a sample of 15shoe and apparel retail websites.

The following Minitab output shows a stem-and-leaf diagram for these data. The second column gives the stems, and the third column gives the leaves.

University Patents. The number of patents a university receives is an indicator of the research level of the university. From a study titled Science and Engineering Indicators issued by the National Science Foundation, we found the number of U.S. patents awarded to a sample of 36private and public universities to be as follows.

Construct a stem-and-leaf diagram for these data with

a. one line per stem.

b. two lines per stem.

c. Which stem-and-leaf diagram do you find more useful? Why?

Standard Normal Distribution. One of the most important distributions in statistics is the standard normal distribution. We discuss this distribution in detail in Chapter 6.

a. Use the technology of your choice to generate a sample of 3000 observations from a variable that has the standard normal distribution.

b. Use the technology of your choice to get a relative-frequency histogram for the 3000 observations that you obtained in part (a).

c. Based on the histogram you obtained in part (b), what specific shape does the standard normal distribution have? Explain your reasoning.

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