Statistics Homework 2 – During the 2008 presidential election
Mathematics – Statistics Homework 2
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1. During the 2008 presidential election, health care and health insurance were identified by voters as important issues. Policy analysts have noted that the number of uninsured is increasing in the United States. Data from the National Center for Health Statistics are presented below.
The Uninsured Population Below 65 Years of Age by Selected Characteristics, 2007
Characteristic Percentage
Age
Below 18 Years 16.2
18-44 Years 61.2
45-64 Years 22.2
Poverty
Below 100% of Poverty Line 25.1
100 to less that 200% 31.6
200 to less than 400% 28.7
400% or more 14.6
Race or Hispanic Origin
Hispanic 31.3
White Only 48.0
Black 13.9
Asian 4.3
Other 2.4
Marital Status
Single 40.2
Married 41.8
Separated/Divorced 16.3
Widowed 1.7
Choose one characteristic from above and graphically display it (use excel!). After the graph, write a brief description of the graph using the format described in class.
2. The 2010 General Social Survey (GSS) data on educational level can be further broken down by race as shown on the following page.
a. Construct two histograms for years of education, one for whites (N=636) and one for blacks (N=136). In constructing them, think how we can best compare two different sample sizes (so that you can answer part b).
Note: You do not have to collapse data into groups, like in homework 1.
b. Now use the two graphs to describe the differences in educational attainment by race.
Years of Education Whites Blacks
0 2 0
1 0 0
2 1 1
3 2 0
4 0 0
5 3 1
6 5 0
7 2 0
8 13 1
9 8 6
10 17 8
11 27 6
12 180 36
13 56 18
14 101 33
15 27 5
16 103 13
17 32 1
18 32 2
19 12 1
20 13 4
3. Twenty-five students completed an SAT preparation class. Their scores are reported below.
1120 1470 1260 1030 1500 1170 1090 1290 1100 1000
1110 1600 960 1280 1140 1040 1010 1350 1320 910
1030 1070 1190 1200 1030
a. Display these numbers graphically. (Think about how to do this most clearly – so you can look at the graph and quickly know something about how the scores are distributed/ grouped).
b. Calculate the mean, mode, and median of the distribution (show your work!).
c. What is the range?
d. What is the Interquartile Range (IQR)?
Explanation & Answer
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