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Page 1 of 5
Assignment 1
A researcher hypothesizes that the Gross Domestic Product (measured in millions of dollars) of
a country is impacted by its percent Urban Population (measured as % of population living in
Urban Areas), the region it is located in (Asia, Africa, Americas, Middle East or Europe), its
yearly military expenditure (measured in millions of dollars), whether it is shares a border with
its major trading partner (measured as 0 for no and 1 for yes). For each variable, you have to
decide, given the above, whether it is 1) categorical or numeric (2 points), 2) Nominal, Ordinal
or Interval (2 points) and 3) Dependent or Independent variable (2 points).
Variable Categorical Numeric
Nominal Ordinal Interval Dependent
Variable
Independent
Variable
Gross
Domestic
Product
Urban
Population
Region
Military
Expenditure
Share
Border
Page 2 of 5
Fill in the following frequency table (make sure your answers are in percents)
Value
Absolute
Frequency
Relative
Frequency
Cumulative
Frequency
1 13
2 26
3 12
4 9
5 18
9 27
Express the following in Summation Notation, i.e.,
?
?
?
(If you are not going to use micro soft equation editor than write your answer as Sigma_{subscripts below
sigma}^{subscripts above sigma}, i.e., Sigma_{?}^{?} ?) (3 points each)
ଶଵݔ2 + ଶଶݔ2 + +ڮ ଶݔ2 =
ଵݔ െ 3.5 + ଶݔ െ 3.5 + ଷݔ െ 3.5 =
Imagine the following variable ݔ = {23 , 2 , 15 , 16 , 18 }. Evaluate the following expressions.
Expand each of the following sums and evaluate if appropriate ( 3 points).
σ ேୀଷݔ3 =
σ ଶୀଵݔ െ 22 =
σ ଶସୀଶݔ =
Page 3 of 5
Table 1 (Make sure all answers are rounded up to 4 decimal points (where necessary)
5 2 4 1 4 5 1 2 1 0
-
Calculate the Mode for the data in Table 1 (2 points)
0 1 1 1 2 2 4 4 5 5
Calculate the Median for the data in Table 1 (3 points)
Calculate the Mean for the data in Table 1 ( 4 points)
Calculate the Range for the data in Table 1 (2 points)
Calculate the Variance for the data in Table 1 ( 4 points) (note you will get the wrong answer if you use a
built in function on a computer program!)
Calculate the Standard Deviation for the data in Table 1 (2 points)
Page 4 of 5
Perform a cross tabulation on the following data
Observation Gender Pet Owner
1 M YES
2 M YES
3 F NO
4 M NO
5 M YES
6 M YES
7 F NO
8 F YES
9 F YES
10 M YES
Calculate the Total Percents (Answers must be in percents) (8 points each).
Total Percents
Gender F M
Pet Owner
No
Yes
Page 5 of 5
Row Percents
Gender F M
Pet Owner
NO
Yes
Column Percents
Gender F M
Pet Owner
No
Yes
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