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Unformatted text preview: Ec0220 Exercise Set 1. 1) The following table reports two random samples of 15 chinesecity population sizes one for
1961 and the other for 1999, calculate the mean, median, range, interquartile range, variance and
coefﬁcient of variation for each year. What do your calculations indicate about the progress of
Chinese city sizes during the last half of the 20th century. Chinese city sizes by population
(10,000's) 240.80000 59.500000
28.3 50000 179.08000 2) The following table reports two random samples of life expectancies of 15 African nations,
calculate the mean, median, range, interquartile range, variance and coefﬁcient of variation for
each year. What do your calculations indicate about life expectancy in Africa during the last decade of the 20th century.
Aﬁ'ican Life Expectancy 1990 and
2000 50 577560 45 960976
39.489429 44 882927 3) The following table reports two random samples of 12 wage rates of unionized and non
unionized female and male workers culled from The Survey of Labour and Income Dynamics for
1994. Calculate the mean, median, range, interquartile range, variance and coeﬂicient of variation
for each category of each gender. What do your calculations indicate about the diﬁ‘erences in male and female wage rates. Females Males
nonunion union nonunion union
22.020000 12.250000 23.290000 1 1 .980000
26.980000 20.740000 5.9600000 10.000000
9.8600000 28.570000 18.870000 10.670000
12.450000 15.650000 20.400000 22.000000
15.500000 13.940000 42.670000 17.000000
24.580000 17.990000 21.600000 34.790000
32.030000 15.740000 38.380000 21.600000
9.8500000 10.560000 24.000000 21.800000
10.560000 25.000000 33.600000 23.780000
12.000000 10.000000 23.550000 17.280000
25.950000 17.810000 14.400000 16.710000
10.990000 19.200000 15.200000 21.000000 4.The correlation between spouses educational levels has attracted the interest of Sociologists,
Demographers and Economists alike. A complementarity view of spousal roles argues for
differences in educational attainment levels. Maximizing earning power suggests a preference for
mates with the highest possible educational attainment level and, since higher earning power
attracts higher earning power, similarities in educational attainment levels. Random samples of
married or cohabiting couples are taken from the 1960 and 1990 USA Censuses of Population.
Individual schooling attainment is ranked into ﬁve educational categories, 1  No High School, 2 
No college 3  No More than 1 year of College, 4  No More than 4 years of College and 5 
More than 4 years of college and the male educational attainment level is subtracted from his
. spouses to give an educational difference index.Calculate the mean, median, range, interquartile
range, variance and coeﬁicient of variation for each year. What do your results suggest about
changes in spousal educational attainment difference over 30 years. 1960
o,1,0,1,o,1,3,1,—1,1,1,1,0,1,o. 1990
2, —1, o, —2, 2, o, 2, o, 2, o, 1, 2, o, o, o, 1, o, 1, 1, 0, 1,0,0. / r\\ ...
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 Spring '11
 Kambourov

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