To determine the change in median income for African American households and white households in Chicago from 1960 to 2010, let's analyze the data step-by-step:
1. Median Income for African American Households:
- 1960: The median income for African American households was [tex]$2,500.
- 2010: The median income for African American households was $[/tex]30,000.
The change in median income for African American households from 1960 to 2010 is calculated as follows:
[tex]\[
\text{Change in Median Income} = \text{Median Income in 2010} - \text{Median Income in 1960}
\][/tex]
Substituting the given values:
[tex]\[
\text{Change in Median Income} = \$30,000 - \$2,500 = \$27,500
\][/tex]
2. Median Income for White Households:
- 1960: The median income for white households was [tex]$6,000.
- 2010: The median income for white households was $[/tex]50,000.
The change in median income for white households from 1960 to 2010 is calculated as follows:
[tex]\[
\text{Change in Median Income} = \text{Median Income in 2010} - \text{Median Income in 1960}
\][/tex]
Substituting the given values:
[tex]\[
\text{Change in Median Income} = \$50,000 - \$6,000 = \$44,000
\][/tex]
3. Comparison of Changes:
- The median income for African American households increased by [tex]$27,500.
- The median income for white households increased by $[/tex]44,000.
To summarize, the median income for African American households in Chicago saw an increase of [tex]$27,500 from 1960 to 2010, whereas the median income for white households saw a larger increase of $[/tex]44,000 over the same period. Thus, while both groups experienced significant income growth, the increase in median income for white households was notably greater.
