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# 3_pdfsam_MT220_DEC05.pdf

Department
Anthropology
Course Code
ANT371H1
Professor
Holly Wardlow

Page:
of 1
ECO220 Midterm Test (December 16, 2005) PART I of II Page 3 of 8
(4) Based on the tabulation of the variable X below, what is the sample median of X?
x | Freq. Percent Cum.
------------+-----------------------------------
1 | 2,570 4.60 4.60
2 | 20,216 36.17 40.77
3 | 19,944 35.69 76.46
4 | 9,041 16.18 92.64
5 | 2,896 5.18 97.82
6 | 859 1.54 99.35
7 | 253 0.45 99.81
8 | 71 0.13 99.93
9 | 27 0.05 99.98
10 | 8 0.01 100.00
11 | 2 0.00 100.00
------------+-----------------------------------
Total | 55,887 100.00
(a) 2
(b) 2.5
(c) 3
(d) 5.5
(e) 6
(5) Consider data measuring the grades (X) of a sample of 132 University of Toronto students and
their salaries 5 years after graduation (Y). You compute a sample covariance of 249.92 (cov(X,Y) =
249.92). What can you reasonably conclude about the sample based on this statistic?
(a) There is a strong linear relationship between grades (X) and salary (Y)
(b) There is a weak linear relationship between grades (X) and salary (Y)
(c) There is no linear relationship between grades (X) and salary (Y)
(d) There is a positive relationship between grades (X) and salary (Y)
(e) None of the above
(6) Suppose X is a normally distributed variable with mean 10 and variance 20: X ~ N(10, 20). What
is the probability that X is negative (rounded to nearest hundredth)?
(a) 0.00
(b) 0.01
(c) 0.04
(d) 0.48
(e) None of the above