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U.S. Regions. The U.S. Census Bureau divides the states in the United States into four regions: Northeast (NE), Midwest (MW), South (SO), and West (WE). The following table gives the region of each of the 50states.

Short Answer

Expert verified

a). The frequency distribution,

b). The relative frequency,

ClassFrequencyRelative FrequencyNE9950=0.18MW121250=0.24SO161650=0.32WE131350=0.26Total501

c) Pie- chart,

d). Bar chart,

Step by step solution

01

Part (a) Step 1: Given Information

Given data:

02

Part (a) Step 2: Explanation

The following is the process for determining the qualitative data frequency distribution:

  • Begin by listing the various values in the first column.
  • Use tally marks to represent the number of times each data set value appears in the second column.
  • In the third column, count the number of tally marks and enter the frequency for each.

In the table below, you can see the frequency distribution.

03

Part (b) Step 1: Given Information

Given data:

04

Part (b) Step 2: Explanation

The relative frequency is expressed as follows:

Relative Frequency=FrequencyNumberofObservations

The frequency distribution is presented in the table below.

ClassFrequencyRelative FrequencyNE9950=0.18MW121250=0.24SO161650=0.32WE131350=0.26Total501

05

Part (c) Step 1: Given Information

Given data:

06

Part (c) 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 360oby the appropriate relative frequencies.

The steps of drawing a pie chart are as follows:

  • Navigate to Graph > Pie Chart.
  • Choose the chart that counts unique data.
  • Select your CLASS LEVELS.
  • Go to the Labels tab.
  • Navigate to the Slide Labels tab.
  • Under Label pie pieces, check Category name and Percent.
  • Click OK

The pie chart of the data set:

07

Part (d) Step 1: Given Information

Given data,

08

Part (d) Step 2: Explanation

MINITAB has been used to create the bar chart.

The steps to making a bar chart are as follows:

  • Navigate to Graph > Bar Chart.
  • Select Counts of unique values from the Bars to represent the menu. Click OK after selecting Simple.
  • Add one column of CLASS LIMITS to Categorical variables.
  • Select your chart options
  • Click the Show Yas Percent option.
  • Click OK

The figure shows the bar chart for the supplied data set.

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