2. The table below presents data on annual labor income in a very simple, four-person economy, with income measured in Chinese yuan. Person # 1 2 3 4 Individual Labor Income (yuan) 18000 31000 67000 113000 a. Calculate both P75:P25 and S75:S25.

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Question

P25= 25th percentile

P75= 75th percentile

S25= Share held by the bottom 25%

S75= Share held by the top 75%

2. The table below presents data on annual labor income in a very simple, four-person
economy, with income measured in Chinese yuan.
Person
#
1
2
3
4
Individual Labor
Income (yuan)
18000
31000
67000
113000
a. Calculate both P75:P25 and S75:S25.
b. Calculate Area A and Area B for Person 3 as if you were calculating the Gini
Coefficient.
c. Sketch out how the Lorenz Curve would change if Person 1's income fell by 5000
yuan and Person 3's rose by 5000 yuan. Your sketch does not need to plot specific
values.
Transcribed Image Text:2. The table below presents data on annual labor income in a very simple, four-person economy, with income measured in Chinese yuan. Person # 1 2 3 4 Individual Labor Income (yuan) 18000 31000 67000 113000 a. Calculate both P75:P25 and S75:S25. b. Calculate Area A and Area B for Person 3 as if you were calculating the Gini Coefficient. c. Sketch out how the Lorenz Curve would change if Person 1's income fell by 5000 yuan and Person 3's rose by 5000 yuan. Your sketch does not need to plot specific values.
Expert Solution
Step 1

Here, given that

P25= 25th percentile

P75= 75th percentile

S25= Share held by the bottom 25%

S75= Share held by the top 75%

steps

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Solved in 2 steps with 1 images

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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Hello, could someone please calculate and do b and c? All I have access to is A.

 

Thank you!

2. The table below presents data on annual labor income in a very simple, four-person
economy, with income measured in Chinese yuan.
Person
#
1
2
3
4
Individual Labor
Income (yuan)
18000
31000
67000
113000
a. Calculate both P75:P25 and S75:S25.
b. Calculate Area A and Area B for Person 3 as if you were calculating the Gini
Coefficient.
c. Sketch out how the Lorenz Curve would change if Person 1's income fell by 5000
yuan and Person 3's rose by 5000 yuan. Your sketch does not need to plot specific
values.
Transcribed Image Text:2. The table below presents data on annual labor income in a very simple, four-person economy, with income measured in Chinese yuan. Person # 1 2 3 4 Individual Labor Income (yuan) 18000 31000 67000 113000 a. Calculate both P75:P25 and S75:S25. b. Calculate Area A and Area B for Person 3 as if you were calculating the Gini Coefficient. c. Sketch out how the Lorenz Curve would change if Person 1's income fell by 5000 yuan and Person 3's rose by 5000 yuan. Your sketch does not need to plot specific values.
Solution
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