Question

The Census Bureau annually estimates the percentage of Americans below the poverty level for various geographic...

The Census Bureau annually estimates the percentage of Americans below the poverty level for various geographic areas. Use the information in the following table to answer the questions below.

Percentage of Americans Below the Poverty Level, Averages for Southern and Western Regions, 2008-2009

South

Percentage

West

Percentage

Alabama

15

Alaska

10

Florida

14

Arizona

20

Georgia

17

California

15

Kentucky

17

Idaho

13

Louisiana

16

Montana

13

Mississippi

21

Nevada

12

North Carolina

15

New Mexico

19

South Carolina

14

Oregon

12

Tennessee

16

Utah

9

Washington

11

      Source: U.S. Bureau of the Census, Current Population Survey, 2008-2009

a.   What is the range of poverty rates in the South? The West? Which is greater?

b.   Create two frequency distributions, one for each region. Again, be sure to include columns for frequencies, proportions, percentages, cumulative frequencies and cumulative percentages.

c.   Calculate the standard deviation for each region. Which region appears to have more variability by this measure?

     

Homework Answers

Answer #1

I will not be able to answer part (b) since it is not clear from the question which frequency distribution you want, because normal frequency distribution and cumulative frequency distribution are different. May be, you cane make a more clear question of what you need exactly. So, we cant put both frequency distributions in the same graph. I will answer part (a) and (c)

(a)

For south, maximum percentage is 21 and minimum percentage is 14. So, range is 21-14=7

For west, maximum percentage is 20 and minimum percentage is 9. So, range is 20-9=11

So, range for west is high

(c)

I will use standard deviation formula, which is given by,

Using this formula, we get that standard deviation for South is=2.14735

standard deviation for west is =3.627059

So, using this formula, we can see that the West region is having higher variability

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