STAT 200 Week 2 Homework Problems
2.2.2
The median incomes of females in each state of the United States, including the District of
Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a
frequency distribution, relative frequency distribution, and cumulative frequency distribution
using 7 classes.
Table #2.2.10: Data of Median Income for Females
$31,862 $40,550 $36,048 $30,752 $41,817 $40,236 $47,476 $40,500
$60,332 $33,823 $35,438 $37,242 $31,238 $39,150 $34,023 $33,745
$33,269 $32,684 $31,844 $34,599 $48,748 $46,185 $36,931 $40,416
$29,548 $33,865 $31,067 $33,424 $35,484 $41,021 $47,155 $32,316
$42,113 $33,459 $32,462 $35,746 $31,274 $36,027 $37,089 $22,117
$41,412 $31,330 $31,329 $33,184 $35,301 $32,843 $38,177 $40,969
$40,993 $29,688 $35,890 $34,381
Frequen
Class Limits cy
21000-25000 1
25001-30000 2
30001-35000 22
35001-40000 12
40001-45000 10
45001-50000 4
50001-61000 1
Class Limits Frequency Cumulative Frequency
21000-25000 1 1
25001-30000 2 3
30001-35000 22 25
35001-40000 12 37
40001-45000 10 47
45001-50000 4 51
50001-61000 1 52
, Class Limits Frequency Relative Frequency
21000-25000 1 0.02
25001-30000 2 0.04
30001-35000 22 0.42
35001-40000 12 0.23
40001-45000 10 0.19
45001-50000 4 0.08
50001-61000 1 0.02
Total 52 1.00
2.2.6
Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape
and any findings you can from the graph.
Skewed to the right.
Histogram
25
20
Frequency
15
10
5
0
25000 30000 35000 40000 45000 50000 More
Mean Income
Relative Frequency Histogram
0.45
0.40
0.35
Relative Frequency
0.30
0.25
0.20
0.15
0.10
0.05
0.00
23000 27500.5 32500.5 37500.5 42500.5 47500.5 55500.5
Mean Income For Females
2.2.10
2.2.2
The median incomes of females in each state of the United States, including the District of
Columbia and Puerto Rico, are given in table #2.2.10 ("Median income of," 2013). Create a
frequency distribution, relative frequency distribution, and cumulative frequency distribution
using 7 classes.
Table #2.2.10: Data of Median Income for Females
$31,862 $40,550 $36,048 $30,752 $41,817 $40,236 $47,476 $40,500
$60,332 $33,823 $35,438 $37,242 $31,238 $39,150 $34,023 $33,745
$33,269 $32,684 $31,844 $34,599 $48,748 $46,185 $36,931 $40,416
$29,548 $33,865 $31,067 $33,424 $35,484 $41,021 $47,155 $32,316
$42,113 $33,459 $32,462 $35,746 $31,274 $36,027 $37,089 $22,117
$41,412 $31,330 $31,329 $33,184 $35,301 $32,843 $38,177 $40,969
$40,993 $29,688 $35,890 $34,381
Frequen
Class Limits cy
21000-25000 1
25001-30000 2
30001-35000 22
35001-40000 12
40001-45000 10
45001-50000 4
50001-61000 1
Class Limits Frequency Cumulative Frequency
21000-25000 1 1
25001-30000 2 3
30001-35000 22 25
35001-40000 12 37
40001-45000 10 47
45001-50000 4 51
50001-61000 1 52
, Class Limits Frequency Relative Frequency
21000-25000 1 0.02
25001-30000 2 0.04
30001-35000 22 0.42
35001-40000 12 0.23
40001-45000 10 0.19
45001-50000 4 0.08
50001-61000 1 0.02
Total 52 1.00
2.2.6
Create a histogram and relative frequency histogram for the data in table #2.2.10. Describe the shape
and any findings you can from the graph.
Skewed to the right.
Histogram
25
20
Frequency
15
10
5
0
25000 30000 35000 40000 45000 50000 More
Mean Income
Relative Frequency Histogram
0.45
0.40
0.35
Relative Frequency
0.30
0.25
0.20
0.15
0.10
0.05
0.00
23000 27500.5 32500.5 37500.5 42500.5 47500.5 55500.5
Mean Income For Females
2.2.10