Social Studies 201 – Winter
2005
Problem
Set 3
Due
Friday, February 18, 2005
Note: No class on Friday, February 11.
1. Undergraduate students. Obtain the variance, standard deviation, and coefficient of
relative variation for each of the variables, grade and time spent at community
service, in Table 1. Explain, which of
the two variables is most concentrated.
Discipline 
Average grade on a
sevenpoint scale 
Average hours per week in
community service, among those involved 
Arts and Humanities 
5.0 
4.5 
Biological Science 
4.9 
4.2 
Business 
4.6 
4.3 
Education 
5.2 
4.4 
Engineering 
4.6 
3.8 
Physical Science 
4.7 
3.4 
Professional 
5.2 
5.4 
Social Science 
4.6 
4.7 
Source: Canada Undergraduate Survey Consortium, 2003 Graduating Students Survey. Tables
17 and 36. Available from University of
Regina, Office of Resouce Planning,
http://www.uregina.ca/presoff/orp/surveys.shtml
2. Alcohol consumption. Obtain the variance, standard deviation, and coefficient of relative variation of number of alcoholic drinks consumed per week for the low and high income individuals represented by the data in Table 2. In words, briefly compare the variability in alcohol consumption for the two groups.
Table 2. Frequency
distributions of Saskatchewan respondents, classified by number of alcoholic
drinks consumed per week, low and high personal income
Number of alcoholic drinks consumed per week 
No. of respondents with
income of: 

<$30,000 
$30,000 plus 

None 
370 
188 

14 
214 
185 

59 
94 
106 

1019 
54 
74 

2039 
30 
29 

Total 
762 
582 

Source: Adapted from Statistics Canada. Canadian Community Health
Survey, cycle 1.2 [machine readable data file]. First Edition. Ottawa, ON:
Statistics Canada [publisher and distributor] 6/21/2004.
3. Education level of Saskatchewan urban population. Table 3 gives the percentage distributions
of years of education for Saskatchewan adults aged 2564. Using the values of X specified in the
second column, obtain the interquartile range and standard deviation for
Saskatchewan adults living in each of the two urban areas. From these statistics and the
distributions, write a sentence or two comparing the variability of the two
groups.
Table
3. Percentage distribution of years of
education completed for adults aged 2564, large and small Saskatchewan cities,
2001
Education level of Saskatchewan adults 
Percentage of adults 

Highest level of education completed 
Years completed (X) 
Regina and Saskatoon 
Other cities in
Saskatchewan 
Less than secondary 
10 
20 
34 
Completed secondary 
12 
23 
21 
Certificate/diploma 
13 
14 
17 
College 
14 
17 
15 
University 
16 
26 
13 
Total 

100 
100 
Source: Census of Canada, 2001.
4. Explanations of probability. Explain which
interpretation of probability (subjective, frequency, theoretical) is implied
by the word in bold in each of the following quotes.
a.
Referring to the United States, an article from The Globe and Mail,
February 7, 2005 stated, “Already, the administration said it will request
another $80billion in the current fiscal year to finance military operations
in Iraq and Afghanistan, so the 200405 deficit will likely set a new
record.”
b.
“The likelihood of obtaining exactly one head in four flips of an
honest coin is 0.25.”
c. A Statistics Canada study about child care, released in The
Daily on February 7, 2005, states “children in two
working or studying parent households were more likely to be in someone
else's home cared for by a nonrelative.”
5. Computer file. Use the
file SSAE98.SAV in the t:\public\students\201 folder for this question. Hand in the computer printout along with the
written answers.
a.
Use AnalyzeDescriptive StatisticsDescriptives to obtain the
mean and standard deviation for the four variables “admission standards too
lax” to “lower tuition” in question 50 (UED1 to UED4) of the SSAE98 survey
questionnaire. Also use AnalyzeDescriptive
StatisticsFrequencies to obtain the quartiles and histograms for these
four variables. From the data on the
printout, calculate the range, interquartile range, and coefficient of relative
variation for each variable. Write a
short note comparing the variability of the four variables, commenting
particularly on how and why the variation for “lower tuition” differs from the
variation for the other three variables.
b.
Use AnalyzeCompare MeansMeans to obtain means and standard
deviations for the four variables of part a. (UED1 to UED4), classified by (i)
sex, and (ii) federal political preference (FV). Write a note describing and comparing the results from these two
different sets of tables, contrasting how the means of some variables differ a
lot by political preference, but how other variables are fairly similar across
sex and across political preference.