Math  /  Data & Statistics

QuestionSoncept Questions
The diagram to the right is a Lorenz curve. Using the 3-point curved line drawing tool, sketch a Lorenz curve that illustrates a more (but not perfectly) equal distribution of income than the Lorenz curve depicted to the right. Label this curve ' LC2\mathrm{LC}_{2} '. Note: Carefully follow the instructions above and only draw the required object.

Studdy Solution

STEP 1

1. A Lorenz curve represents the distribution of income or wealth within a population.
2. A perfectly equal distribution is represented by the line of equality, a 45-degree line from (0,0) to (100,100).
3. A more equal distribution than a given Lorenz curve will be closer to the line of equality.

STEP 2

1. Understand the current Lorenz curve.
2. Determine the characteristics of a more equal distribution.
3. Sketch the new Lorenz curve.

STEP 3

Understand the current Lorenz curve labeled "LC₁". It starts at the origin (0,0) and curves upwards towards (100,100), showing the current income distribution.

STEP 4

Determine the characteristics of a more equal distribution. A more equal distribution will have a Lorenz curve that is closer to the line of equality than "LC₁".

STEP 5

Sketch the new Lorenz curve, labeled "LC₂", which should be closer to the line of equality than "LC₁". Use the 3-point curved line drawing tool to create a curve that starts at (0,0), is above "LC₁", and ends at (100,100).
The new Lorenz curve "LC₂" should visually represent a more equal distribution of income compared to "LC₁".

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