U.S. Divisions and Regions. The U.S. Census Bureau classifies the states in the United States by region and division. The data giving the region and division of each state are presented on the WeissStats site. Use the technology of your choice to determine the mode(s) of the

a. regions.

b. divisions.

Short Answer

Expert verified

Ans:

Part (a). The mode of the regions is "south".

Part (b). The division's distribution of states is bimodal, as it has two modes "Mountain", and "8"

Step by step solution

01

Step 1. Given information:

  • The data giving the region and division of each state are presented on the WeissStats site
02

Step 2. Solving Part (a):

We need to identify the modes of regions of all states.

The MINITAB output for the frequency distribution of all the four regions is as follows.

Tally for Discrete Variables: REGION

REGION
Count
Midwest
12
Northeast9
South
16
West
13
N =50
03

Step 3. Continue: 

From the above output, we have the largest frequency is identified for the region "south".

According to the definition of the mode; the largest frequency value is the modal value of the data.

Therefore, the mode of the regions is "south".

04

Step 4. Solving Part (b):

We need to identify the modes of the division of all states.

According to the definition of the mode; the largest frequency value is the modal value of the data.

05

Step 5. Continue: 

The MINITAB output for the frequency distribution of all the four regions is as follows.

Tally for Discrete Variables: DIVISION

DIVISION
Count
East North Central
5
East South Central4
Middle Atlantic3
Mountain8
New England6
Pacific5
South Atlantic8
West North Central7
West South Central
4
N =50

From the above, output, we can say that the largest frequency is 8, and is identified for the two divisions "Mountain", "8".

Therefore, the division's distribution of states is bimodal, as it has two modes "Mountain", and "8".

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