Republic of Mathematics blog

Mississippi, West Virginia and Alabama biggest losers in obesity stakes – Colorado clear winner

Posted by: Gary Ernest Davis on: June 5, 2012

The Centers for Disease Control and Prevention website has a very interesting series of graphics depicting adult obesity rates in the United States by State and by year from 1985 through 2010.

Obesity for this purpose is defined as a body mass index (BMI) of 30 or above.

The changes year by year are dramatic.

The percentages of adults in the various states that are obese by this definition are shown for 2010 in the graphic below:

The States, buy sorted by percentage of obese adults from largest to smallest, patient is shown in the table below, together i the z-scores for those percentages (for this purpose the District of Columbia is counted as a State)

STATE % PEOPLE WITH BMI >30 Z-SCORE
Mississippi 34 2.17
West Virginia 32.5 1.70
Alabama 32.2 1.61
South Carolina 31.5 1.40
Kentucky 31.3 1.33
Texas 31 1.24
Louisiana 31 1.24
Michigan 30.9 1.21
Tennessee 30.8 1.18
Missouri 30.5 1.09
Oklahoma 30.4 1.05
Arkansas 30.1 0.96
Indiana 29.6 0.81
Georgia 29.6 0.81
Kansas 29.4 0.75
Ohio 29.2 0.68
Pennsylvania 28.6 0.50
Iowa 28.4 0.44
Illinois 28.2 0.37
Delaware 28 0.31
North Carolina 27.8 0.25
South Dakota 27.3 0.10
North Dakota 27.2 0.06
Maryland 27.1 0.03
Nebraska 26.9 -0.03
Maine 26.8 -0.06
Oregon 26.8 -0.06
Florida 26.6 -0.12
Idaho 26.5 -0.15
Wisconsin 26.3 -0.21
Virginia 26 -0.31
Rhode Island 25.5 -0.46
Washington 25.5 -0.46
New Mexico 25.1 -0.58
Wyoming 25.1 -0.58
New Hampshire 25 -0.62
Minnesota 24.8 -0.68
Alaska 24.5 -0.77
Arizona 24.3 -0.83
California 24 -0.92
New York 23.9 -0.96
New Jersey 23.8 -0.99
Vermont 23.2 -1.17
Montana 23 -1.23
Massachusetts 23 -1.23
Hawaii 22.7 -1.33
Utah 22.5 -1.39
Connecticut 22.5 -1.39
Nevada 22.4 -1.42
District of Columbia 22.2 -1.48
Colorado 21 -1.85

x

The States with a z-score greater than 1 are Mississippi, West Virginia, Alabama, South Carolina, Kentucky, Texas, Louisiana, Michigan, Tennessee, Missouri and Oklahoma.

The States with a z-score less than -1 are Vermont, Montana, Massachusetts, Hawaii, Utah, Connecticut, Nevada,District of Columbia and Colorado.

Mississippi is at the extreme with a z-score above 2, and Colorado lies at the other extreme with a z-score of almost -2

These outliers can be visualized from the histogram of the percentages of obese adults:

This histogram is fairly flat, indicating a relatively uniform distribution with the exception of Colorado, with only 21% of obese adults, at the low end,  and Alabama, West Virginia and Mississippi with more than 32% of obese adults, at the high end.

Southern cooking might be tasty, but it seems there might be something about the mountain air of Colorado that is associated with a lower obesity rate.

On the other hand, if we multiply the percentage rates of obese adults by the population, for each state, we get the number of obese adults per state:

STATE OBESE POPULATION/ 2010 Z-SCORE
 California

8940949

4.04

 Texas

7795124

3.41

 Florida

5001148

1.86

 New York

4631366

1.65

 Pennsylvania

3632880

1.10

 Illinois

3618238

1.09

 Ohio

3368659

0.95

 Michigan

3054045

0.78

 Georgia

2867545

0.68

 North Carolina

2650864

0.56

 New Jersey

2092471

0.25

 Virginia

2080266

0.24

 Tennessee

1954600

0.17

 Indiana

1919205

0.15

 Missouri

1826623

0.10

 Washington

1714758

0.04

 Maryland

1564633

-0.05

 Arizona

1553260

-0.05

 Alabama

1539075

-0.06

 Massachusetts

1505955

-0.08

 Wisconsin

1495677

-0.08

 South Carolina

1456990

-0.10

 Louisiana

1405345

-0.13

 Kentucky

1358222

-0.16

 Minnesota

1315373

-0.18

 Oklahoma

1140411

-0.28

 Colorado

1056131

-0.33

 Oregon

1026728

-0.34

 Mississippi

1008881

-0.35

 Arkansas

877691

-0.43

 Iowa

865165

-0.43

 Kansas

838817

-0.45

 Connecticut

804172

-0.47

 Utah

621874

-0.57

 Nevada

604923

-0.58

 West Virginia

602223

-0.58

 New Mexico

516854

-0.63

 Nebraska

491286

-0.64

 Idaho

415409

-0.68

 Maine

356001

-0.71

 New Hampshire

329118

-0.73

 Hawaii

308788

-0.74

 Rhode Island

268405

-0.76

 Delaware

251422

-0.77

 Montana

227565

-0.79

 South Dakota

222271

-0.79

 North Dakota

182945

-0.81

 Alaska

174007

-0.82

 Vermont

145172

-0.83

 Wyoming

141470

-0.83

 Washington, DC

133583

-0.84

We see that California and Texas account for a significant number of the total of obese adults in the US.

A histogram of the population data for obesity shows how skewed is the distribution of state numbers of obese adults (as distinct from percentages) :

In fact, if we plot the cumulative percentage of obese adults in the states, versus the cumulative percentage (out of 51) of the states (including DC) we get the following curve, which shows, for example, that the half the states account for approximately 85% of all US obese adults:

 

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