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Chapter 2: Q. 2.30 (page 50)

For each data sets in Exercises 2.26-2.31,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. Construct a bar chart.

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 50 states.

Short Answer

Expert verified

Part a. The frequency distribution is given as

RegionTallyFrequency
NE|||||||||
9
MW||||||||||||
12
SO||||||||||||||||
16
WE|||||||||||||
13

Part b. The relative frequency distribution is given as

RegionFrequencyRelative Frequency
NE9950=0.18
MW121250=0.24
SO161650=0.32
WE131350=0.26
Total501

Part c. The pie chart is given as

Part d. The bar chart is given as

Step by step solution

01

Part (a) Step 1. Given Information 

We are given a data that divides the 50 states of the United States into four regions.

02

Part (a) Step 2. Frequency Distribution

For the study, there are four regions Northeast (NE), Midwest (MW), South (SO), and West (WE). The frequency distribution can be shown as

RegionTallyFrequency
NE|||||||||9
MW||||||||||||
12
SO||||||||||||||||
16
WE|||||||||||||
13
03

Part (b) Step 2. Relative Frequency Distribution

The relative frequency distribution for the given data is given as

RegionFrequencyRelative Frequency
NE9950=0.18
MW121250=0.24
SO161650=0.32
WE131350=0.26
Total501
04

Part (c) Step 4. Pie chart

The pie chart for the data is shown as

05

Part (d) Step 1. Bar Chart

The bar chart for the data is shown as

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