The following table displays the income distribution for Canadian families in 1990 and 2009. Table 1:...

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The following table displays the income distribution for Canadian families in 1990 and 2009. Table 1: Income Distribution of Economic Family Wages and Salaries, Canada. 1990 and 2009 Decile Upper Income Cut-off Percent Income Share Cumulative Percent 1990 2009 1990 2009 1990 2009 Lowest 10% $7488 $6500 0.9% 0.3% 0.9% 0.3% 2nd 10% $15000 $17500 2.9% 1.9% 3.8% 2.3% 3rd 10% $21815 $28000 4.5% 3.6% 8.3% 5.9% 4th 10% $28330 $39000 6.2% 5.3% 14.5% 11.2% 5th 10% $35000 $50000 8.0% 6.7% 22.5% 18.0% 6th 10% $42359 $64300 9.6% 8.6% 32.1% 26.6% 7th 10% $50575 $79750 11.6% 11.0% 43.6% 37.6% 8th 10% $61000 $100000 13.8% 14.1% 57.5% 51.7% 9th 10% $77359 $134500 17.0% 17.5% 74.5% 69.2% Highest 10% $92604 $170000 25.4% 30.8% 100.0% 100.0% Refer to the worksheet on Desmos provided here: Desmos Link Using the Lorenz curve model (1 + w₂x) x L(x) = . 1+w₂ 1-w₁I drag the sliders for w₁ and ₂ to model the data from 1990 (blue) and 2009 (green). What is the Gini index G using this model for 1990 and 2009? G1990 = (accurate to 0.02) G2009 = (accurate to 0.02) ال – 1 The following table displays the income distribution for Canadian families in 1990 and 2009. Table 1: Income Distribution of Economic Family Wages and Salaries, Canada. 1990 and 2009 Decile Upper Income Cut-off Percent Income Share Cumulative Percent 1990 2009 1990 2009 1990 2009 Lowest 10% $7488 $6500 0.9% 0.3% 0.9% 0.3% 2nd 10% $15000 $17500 2.9% 1.9% 3.8% 2.3% 3rd 10% $21815 $28000 4.5% 3.6% 8.3% 5.9% 4th 10% $28330 $39000 6.2% 5.3% 14.5% 11.2% 5th 10% $35000 $50000 8.0% 6.7% 22.5% 18.0% 6th 10% $42359 $64300 9.6% 8.6% 32.1% 26.6% 7th 10% $50575 $79750 11.6% 11.0% 43.6% 37.6% 8th 10% $61000 $100000 13.8% 14.1% 57.5% 51.7% 9th 10% $77359 $134500 17.0% 17.5% 74.5% 69.2% Highest 10% $92604 $170000 25.4% 30.8% 100.0% 100.0% Refer to the worksheet on Desmos provided here: Desmos Link Using the Lorenz curve model (1 + w₂x) x L(x) = . 1+w₂ 1-w₁I drag the sliders for w₁ and ₂ to model the data from 1990 (blue) and 2009 (green). What is the Gini index G using this model for 1990 and 2009? G1990 = (accurate to 0.02) G2009 = (accurate to 0.02) ال – 1

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