Geography 226 |
Lab 1 |
Descriptive Statistics |
A thirsty old Viking named Bede |
1. Classify the variables below (indicate whether they are qualitative
or quantitative, discrete or continuous and the level of measurement):
Variable |
Qual/Quant |
Disc/Cont |
Level |
Local tree species: Cedar Oak Fir Arbutus Hemlock |
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Latitude (º) |
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Education: high school, undergraduate, graduate |
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Average housing cost ($) |
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Skaters per hour at a skate park |
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Height of daily tides (m) |
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Commuting distance (km) |
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Hair colour 1=blond 2=brown 3=red |
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Temperature (ºK) (HINT : What happens at 0ºK ? Look up Kelvin Scale |
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2. Calculate the mean and standard deviation by hand for the
sample observations below. Show your calculations.
12 |
8 |
6 |
15 |
10 |
13 |
20 |
11 |
3. The table below summarizes responses to a customer satisfaction survey
for a whale watching company. Calculate the relative frequency for each
satisfaction category. You may express the relative frequency as a decimal or a
percentage.
Category |
Frequency |
Relative frequency |
% |
Very Satisfied |
4 |
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Satisfied |
12 |
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Neutral |
8 |
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Dissatisfied |
3 |
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Very dissatisfied |
1 |
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4. Artisinal fishers are critically important
to people around the world. In the Lao People's Democratic Republic, thousands
of rural people depend on the
Baird, I and M. Flaherty. 2000. Local Waters, International Markets: A Review of the
Sustainability of a
We will use a small subset of the available data.
The following data were collected for 20 fishers in 3 villages along the
Fisher ID:
identification code assigned to each fisher
Village ID: identification code assigned to each village
Gear: type of traditional fishing gear used
Catch: total weight of fish caught in kilograms by each fisher
a) Classify the variables in the data set (1 mark)
b) Provide the following descriptive statistics for Catch:
Calculate by hand and show work: |
Obtain from SPSS: |
o Median (1)
o Mode (1)
o Range (1)
o Interquartile range (3)
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o Mean (1) o Standard deviation (1) |
d) Which measure of central tendency and of dispersion are most appropriate for summarizing the variable Catch? Explain why. (2)
e) Is it appropriate to calculate a measure of central tendency for the Gear variable? Explain why or why not. (2)
5. The catch data is part of a continuing study, initiated in 1994. The
mean catch per fisher for each year is presented below. Insert the mean and
standard deviation that you calculated for 1995 (from question 4).
Year |
Fishers |
Mean catch per fisher (kg) |
Standard deviation (kg) |
1994 |
19 |
352.6 |
61.2 |
1995 |
20 |
* |
* |
1996 |
36 |
274.8 |
55.6 |
1997 |
52 |
147.3 |
33.9 |
1998 |
41 |
220.9 |
37.2 |
Show all lab work, including tables, graphs and calculations! |
Marking Guide (Lab Total = 33) |
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Question |
Mark |
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Question |
Mark |
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Question |
Mark |
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Q1 |
5 (0.5 per variable – no part marks) |
Q4 |
a. |
1 |
Q5 |
a. |
3 |
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Q2 |
4 |
b. |
8 |
b. |
3 |
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Q3 |
2 |
c. |
3 |
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d. |
2 |
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e. |
2 |
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