Q.2.32 - Elementary Statistics

Question

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.

Step-by-Step Solution

Answer

a). The frequency distribution is,

b). The pie chart,

c). The bar-chart,

Part (a) Step 1: Given Information

The data is given as 

Part (a) Step 2: Explanation

The relative frequency can be calculated using the formula,

$\text{ Relative Frequency }=\frac{\text{ Frequency }}{\text{ NumberofObservations }}$

The table below shows the frequency distribution.

Part (b) Step 1: Given Information

The data is given as,

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 multiplying$360°$ 

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.

Part (c) Step 1: Given Information

The data is given as,

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.