Consider a hypothetical economy that consists of 20 non-unionized private sector workers who have the following annual earnings: $18,000 $21,000 $9,000 $46,000 $82,000 $59,000 $12,000 $26,000 $13,000 $27,000 $76,000 $37,000 $61,000 $6,000 $14,000 $41,000 $22,000 $3,000 $23,000 $24,000 a) Using annual earnings ranges of $10,000 (i.e., 0-$10,000, $10,000-$20,000, and so forth), construct a histogram (absolute frequency distribution) of this economy's distribution of personal earnings. What is the mode of the histogram? What is the average (mean) level of earnings? What is the median level of earnings? Characterize the distribution as being normal, skewed leftward, or skewed rightward. Explain. b) Construct a Lorenz curve showing the quintile distribution of earnings for this economy. c) What would be the likely impact of unionization of this entire workforce on the Lorenz curve? Explain.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider a hypothetical economy that consists of 20 non-unionized private sector workers who
have the following annual earnings:
$18,000 $21,000
$9,000 $46,000
$82,000 $59,000
$12,000 $26,000
$13,000 $27,000
$76,000 $37,000
$61,000 $6,000
$14,000 $41,000
$22,000 $3,000
$23,000
$24,000
a) Using annual earnings ranges of $10,000 (i.e., 0-$10,000, $10,000-$20,000, and so
forth), construct a histogram (absolute frequency distribution) of this economy's
distribution of personal earnings. What is the mode of the histogram? What is the
average (mean) level of earnings? What is the median level of earnings? Characterize
the distribution as being normal, skewed leftward, or skewed rightward. Explain.
b) Construct a Lorenz curve showing the quintile distribution of earnings for this economy.
c) What would be the likely impact of unionization of this entire workforce on the Lorenz
curve? Explain.
Transcribed Image Text:Consider a hypothetical economy that consists of 20 non-unionized private sector workers who have the following annual earnings: $18,000 $21,000 $9,000 $46,000 $82,000 $59,000 $12,000 $26,000 $13,000 $27,000 $76,000 $37,000 $61,000 $6,000 $14,000 $41,000 $22,000 $3,000 $23,000 $24,000 a) Using annual earnings ranges of $10,000 (i.e., 0-$10,000, $10,000-$20,000, and so forth), construct a histogram (absolute frequency distribution) of this economy's distribution of personal earnings. What is the mode of the histogram? What is the average (mean) level of earnings? What is the median level of earnings? Characterize the distribution as being normal, skewed leftward, or skewed rightward. Explain. b) Construct a Lorenz curve showing the quintile distribution of earnings for this economy. c) What would be the likely impact of unionization of this entire workforce on the Lorenz curve? Explain.
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