group 1 percent group 2 percent group 3 percent (%) (%) (%) alabama 32 B u s i n e s s F i n a n c e
1. You have data on the obesity rates in three groups of states. Compute the average and standard deviation for obesity rates. Using a measure called the Coefiicient of Variation {CV = (mean / Standard Deviation)} which group of states has the highest variation in obesity rates?
GROUP 1
Percent
GROUP 2
Percent
GROUP 3
Percent
(%)
(%)
(%)
Alabama
32.2
Kentucky
31.3
North Dakota
27.2
Alaska
24.5
Louisiana
31
Ohio
29.2
Arizona
24.3
Maine
26.8
Oklahoma
30.4
Arkansas
30.1
Maryland
27.1
Oregon
26.8
California
24
Massachusetts
23
Pennsylvania
28.6
Colorado
21
Michigan
30.9
Rhode Island
25.5
Connecticut
22.5
Minnesota
24.8
South Carolina
31.5
Delaware
28
Mississippi
34
South Dakota
27.3
Washington, DC
22.2
Missouri
30.5
Tennessee
30.8
Florida
26.6
Montana
23
Texas
31
Georgia
29.6
Nebraska
26.9
Utah
22.5
Hawaii
22.7
Nevada
22.4
Vermont
23.2
Idaho
26.5
New Hampshire
25
Virginia
26
Illinois
28.2
New Jersey
23.8
Washington
25.5
Indiana
29.6
New Mexico
25.1
West Virginia
32.5
Iowa
28.4
New York
23.9
Wisconsin
26.3
Kansas
29.4
North Carolina
27.8
Wyoming
25.1a.
Group 1
Group 2
Group 3
STDEV
3.32
3.51
2.94
MEAN
26.46
26.90
27.61
CV
7.98
7.67
9.40b.
Group 1
Group 2
Group 3
STDEV
3.32
3.51
2.94
MEAN
22.46
26.90
29.61
CV
7.98
7.67
9.40c.
Group 1
Group 2
Group 3
STDEV
3.01
2.94
3.32
MEAN
26.90
27.61
26.46
CV
8.67
9.40
7.98d.
Group 1
Group 2
Group 3
STDEV
3.32
2.94
3.51
MEAN
24.46
27.61
26.90
CV
7.98
6.40
7.67
2.
Frequency
Relative Frequency
0 – 18 YEARS
73
4.6
18 – 25 YEARS
344
21.7
25 – 45 YEARS
894
56.5
45 – 65 YEARS
236
14.9
65 – 80 YEARS
36
2.3
What is the average age for this sample of respondents?
a.
For this sample of respondents the mean age is 38.40 yearsb.
For this sample of respondents the mean age is 34.84 yearsc.
For this sample of respondents the mean age is 43.84 yearsd.
For this sample of respondents the mean age is 38.34 years
3.
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