Social Studies 201 – Fall
2004
Problem
Set 3
Due
October 27, 2004
1. Ecological footprints. For each of the three variables commuting distance, density, and
energy use in Table 1, compute the mean, standard deviation, and CRV. Explain which variable has the greatest
variation across the nine cities, and which variable has the least.
Location |
Median commuting distance
(km) |
Density (people per square
kilometer) |
Energy use (global
hectares) |
Vancouver |
7.6 |
690 |
4.21 |
Calgary |
7.7 |
187 |
6.03 |
Edmonton |
7.6 |
100 |
5.85 |
Regina |
4.5 |
57 |
4.18 |
Saskatoon |
4.8 |
44 |
4.11 |
Winnipeg |
6.0 |
162 |
3.73 |
Windsor |
8.6 |
301 |
4.09 |
London |
5.4 |
195 |
3.95 |
Toronto |
9.2 |
793 |
4.05 |
Source: Federation
of Canadian Municipalities, Ecological Footprints of Canadian Municipalities
and Regions, September 2004, Table 2.
From http://www.fcm.ca/english/communications/eco.pdf
2. Variability of hours
worked. Table 2 contains
distributions of annual hours Saskatchewan respondents reported working at
their jobs. From the data in Table 2,
obtain the mean, standard deviation, and CRV for respondents aged 15-24 and for
respondents aged 35-44. In words,
briefly compare the variation in annual hours worked for respondents in the two
age groups.
Annual hours worked |
X (hours in thousands of
hours) |
Number of respondents by
age |
||
All ages |
Ages 15-24 |
Ages 35-44 |
||
250-750 |
0.5 |
264 |
129 |
39 |
750-1,250 |
1.0 |
259 |
91 |
44 |
1,250-1,750 |
1.5 |
340 |
93 |
74 |
1,750-2,250 |
2.0 |
1,134 |
132 |
380 |
2,250-2,750 |
2.5 |
232 |
34 |
63 |
2,750 plus |
3.0 |
257 |
23 |
84 |
Total |
2,486 |
502 |
684 |
Source: Statistics
Canada. Survey of Labour and Income Dynamics (SLID), 1999: Person file [machine
readable data file]. Release 1 Edition. Ottawa, ON: Statistics Canada.
4/16/2003.
3. Interpretations of
probability. Explain which of the three
interpretations of probability (classical or theoretical, frequency, and
subjective) appears to be used in each of the following quotes.
A. From the Youth
in Transition study,“These findings suggest that the higher the level of
the parents’ education, the more likely their children were to complete
high school.”
Source: At a Crossroads,
p. 31. From
http://www.statcan.ca:8096/bsolc/english/bsolc?catno=81-591-X
B. Commenting
on the new leader of the Saskatchewan Party, Graeme Smith, a columnist for The
Globe and Mail reports “Mr. Wall did offer some specifics. He’ll probably announce that he won’t
sell any Crown corporations, he said.”
Source: The Globe and Mail,
March 15, 2004, p. A7.
C. On average, 16% of employees felt that poor
interpersonal relations were a source of stress at work. This compares with about 10% of primary
industry workers and 21% of workers in health occupations who feel this
way. The likelihood of feeling
stressed at work as a result of poor interpersonal relationships did not vary
significantly from the average in most occupations.
Source: Cara Williams,
“Stress at work,” Canadian Social Trends, No. 70, Autumn 2003, p. 10.
D. The
Lottery Canada web site states that the approximate odds of winning for
6/6 numbers matched is 1 in 13,983,816.
Source:
http://www.lotterycanada.com/lottery/?job=show_results&lottery=na_lotto_649.
Questions 4 and 5 use the SSAE98.SAV file on the computer. Hand in the computer printout along with the written answers to questions 4 and 5.
4. Variation and patterns. Use Analyze-Descriptive
Statistics-Descriptives to obtain the mean and standard deviation for the
following four variables. Also use Analyze-Descriptive Statistics-Frequencies
to obtain frequency distributions and histograms for the same variables.
·
Economic future (FUTURE)
·
Knowledge about computing (KNOW)
·
University preparing (PREP)
·
Lack of access (ACCESS)
From the data on the printout, calculate the
range and coefficient of relative variation for each variable. From the above, write a note comparing the
variability of the four variables, explaining why and how variability differs
among the four variables.
5. Views about multiculturalism
by political preference. Using Analyze-Compare Means-Means, obtain the
means and standard deviations of four of the multiculturalism variables, from
question 30 of the survey questionnaire, Equal access (M2), Eliminate
barriers (M4), Fund festivals (M5), and Canadian society enriched (M6),
classified by Provincial political preference (PV). Write a note comparing the statistics for
the four variables for those with different political preferences. In your note, concentrate primarily on the
differences of means of the multiculturalism variables across the categories of
provincial political preference.