The distribution of incomes as of 2012 in the United States in $5000 increments is given in the following table. The kth row denotes the percentage of households with incomes between $5000xk and 5000 xk +4999. The row k = 40 contains all households with income between $200,000 and $250,000 and k = 41 accounts for all households with income exceeding $250,000.
0 | 3.5 | 21 | 1.5 |
1 | 4.1 | 22 | 1.4 |
2 | 5.9 | 23 | 1.3 |
3 | 5.7 | 24 | 1.3 |
4 | 5.9 | 25 | 1.1 |
5 | 5.4 | 26 | 1.0 |
6 | 4.4 | 27 | 0.75 |
7 | 4.1 | 28 | 0.8 |
8 | 4.8 | 29 | 1.0 |
9 | 4.1 | 30 | 0.6 |
10 | 4.3 | 31 | 0.6 |
11 | 3.5 | 32 | 0.5 |
12 | 3.7 | 33 | 0.5 |
13 | 3.2 | 34 | 0.4 |
14 | 3.0 | 35 | 0.3 |
15 | 2.8 | 36 | 0.3 |
16 | 2.5 | 37 | 0.3 |
17 | 2.2 | 38 | 0.2 |
18 | 2.2 | 39 | 1.8 |
19 | 1.8 | 40 | 2.3 |
20 | 2.1 | 41 |
Table 5.8 Income Distributions Source: http: //www. census.gov/prod/2013 pubs/p60-245.
a.
Estimate the percentage of U.S households in 2012 with incomes less than $55,000.
b.
What percentage of households had incomes exceeding $85,000?
c.
Plot the data and try to fit its shape to that of a graph of the form
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