Social Research 302/Statistics
Section C (Calculation): Provide both answer and step by step calculation for each of the following questions
- About 13% of survey respondents in a sample reported that they do not attend religious services regularly. About what proportion of respondents did not attend religious services regularly? (0.5 Point)
- In a survey of 3,055 respondents, eighty persons had been widowed. What percent of respondents have never been widowed? (0.5 Point)
- Calculate and fill the empty cells in the following table (0.75 Point)
Language Proficiency |
f |
Cf |
p |
% |
1 Language |
129 |
|
|
50.0 |
2 Languages |
|
214 |
|
|
3+ Languages |
|
|
|
|
- Calculate the values and fill the empty cells in the following table (0.75 Point)
Social Capital |
f |
Cf |
p |
% |
Low |
|
188 |
|
|
Medium |
|
234 |
|
|
Hi |
|
298 |
|
|
- Based on information from the U.S. Census Bureau, the total number of military reserve personnel is 129,047. Construct a cumulative frequency distribution using the following information. Begin with whites and work through the table in the order of the racial categories listed. (1.0 Point)
Military Reserve Personnel by Race, 2002 |
White |
73.2% |
Black |
15.9% |
Latino |
7.9% |
Asian |
2.3% |
Native American |
0.7% |
- In the following data: which score corresponds to the 50th percecntile in the distribution, and why? (0.5 point)
The data is: 12, 7, 9, 7, 10
State |
Proportion of Residents without Health Insurance |
Louisiana |
.19 |
New Jersey |
.13 |
New York |
.16 |
Pennsylvania |
.11 |
Rhode Island |
.09 |
South Carolina |
.13 |
Texas |
.25 |
Washington |
.14 |
Wisconsin |
.10 |
Oregon |
.17 |
- The following data is from the U.S. Census Bureau and it shows the proportion of residents in U.S. states who lacked health insurance between 2001 and 2003. What is the type of distribution of the observavations and why? (0.5 Point)
- A student scores 85, 89, 91, and 85 in the first four tests. What should be his score in the fifth test so that he has an average of 90? Calculate it. Calculate. (0.5 point)
- Calculate the median for the following frequency distribution. (0.5 point)
Grades |
f |
D |
7 |
C |
18 |
B+ |
35 |
B |
22 |
A |
13 |
A+ |
5 |
- Calculate the range and interquartile range for the following hypothetical data. (0.5 Point)
The data is: 21, 25, 37, 38, 39, 42, 44, 45
- Calculate variance and standard deviation for the following score. (1.0 Point)
The score is: 21, 25, 37, 38, 39, 42, 44, 45
- Calculate the values of variance and standard deviation for the following sample. (1.0 Point)
The sample is: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20.
- Calculate the values of variance and standard deviation for the following sample: (1.0 Point)
The sample is: 3, 13, –4, 10, 0, 12, –1, –2, 6, 9, 5, 11.
- Calculate the value of the standard deviation for the following sub-sample: (1.0 Points)
The sample is: 24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20.
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