Question

Consider two communities. In Mill Town, two families earn $10000 each, six families earn $75,000 each, and two earn $80,000 each. In Pasture Town, four families earn $50,000 each, four families earn $70000 each, and two earn $115000 each 2nd attempt See Hint What is the income inequality ratio in Mill Town? What is the income inequality ratio in Pasture Town? Which community has the more unequal distribution of income?

Answer 1

Answer:

a. The income inequality ratio in Mill Town is 14.06%.

b. The income inequality ratio in Pasture Town is 11.77%

c. Mill Town therefore has the more unequal distribution of income

Explanation:

Note: Kindly see the attached file for the calculation of the standard deviation and the mean.

The income equality can be determined using the Coefficient of variation (CV) for stated as follows:

IE = SD ÷ Mean ........................................... (1)

Where,

IE = Income inequality

SD = Standard deviation

In more equal societies, IE will be smaller.

We can therefore proceed as follows:

a. What is the income inequality ratio in Mill Town?

SD = 8,857

Mean = 63,000

IE = 8,857 ÷ 63,000  = 0.1406, or 14.06%

b. What is the income inequality ratio in Pasture Town?

SD = 8,353

Mean = 71,000

IE = 8,353 ÷ 71,000  = 0.1177, or 11.77%

c. Which community has the more unequal distribution of income?

Since the 14.06% income inequality ratio of Mill Town is higher than 11.77%  income inequality of Pasture Town, Mill Town therefore has the more unequal distribution of income.

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