STAT 200 Week 2
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
60,332-22,117= 38,215
Width=range/7= 38215/7= 5459.285 which is rounded up to 5460.
Class Limits Frequency Relative Frequency Cumulative
Distribution Frequency
21000-25000 1 .02 .02
25001-30000 2 .04 .06
30001-35000 22 .42 .48
35001-40000 12 .23 .71
40000-45000 10 .19 .9
45001-50000 4 .08 .98
50001-61000 1 .02 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.
21000+25000=46000/2=23000
25001+30000=55001/2=27500.50
30001+35000=65001/2=32500.50
This study source was downloaded by 100000832558064 from CourseHero.com on 01-31-2022 01:13:01 GMT -06:00
https://www.coursehero.com/file/73227907/STAT-200-Week-2-Homework-Problems-2docx/
, STAT 200 Week 2
35001+40000=75001/2=37500.50
40000+45000=85000/2=42500
45001+50000=95001/2=47500.50
50001+61000=111001/2=55500.5
Frequency Histogram
25
20
15
Total
10
5
0
2300027500.532500.537500.54250047500.555500.5
Relative Histogram
0.45
0.4
0.35
0.3
0.25
Total
0.2
0.15
0.1
0.05
0
2300027500.532500.537500.54250047500.555500.5
While looking at both graphs the difference I see is that $32,500.50 seems to be the largest frequency
and amount in both graphs.
This study source was downloaded by 100000832558064 from CourseHero.com on 01-31-2022 01:13:01 GMT -06:00
https://www.coursehero.com/file/73227907/STAT-200-Week-2-Homework-Problems-2docx/
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
60,332-22,117= 38,215
Width=range/7= 38215/7= 5459.285 which is rounded up to 5460.
Class Limits Frequency Relative Frequency Cumulative
Distribution Frequency
21000-25000 1 .02 .02
25001-30000 2 .04 .06
30001-35000 22 .42 .48
35001-40000 12 .23 .71
40000-45000 10 .19 .9
45001-50000 4 .08 .98
50001-61000 1 .02 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.
21000+25000=46000/2=23000
25001+30000=55001/2=27500.50
30001+35000=65001/2=32500.50
This study source was downloaded by 100000832558064 from CourseHero.com on 01-31-2022 01:13:01 GMT -06:00
https://www.coursehero.com/file/73227907/STAT-200-Week-2-Homework-Problems-2docx/
, STAT 200 Week 2
35001+40000=75001/2=37500.50
40000+45000=85000/2=42500
45001+50000=95001/2=47500.50
50001+61000=111001/2=55500.5
Frequency Histogram
25
20
15
Total
10
5
0
2300027500.532500.537500.54250047500.555500.5
Relative Histogram
0.45
0.4
0.35
0.3
0.25
Total
0.2
0.15
0.1
0.05
0
2300027500.532500.537500.54250047500.555500.5
While looking at both graphs the difference I see is that $32,500.50 seems to be the largest frequency
and amount in both graphs.
This study source was downloaded by 100000832558064 from CourseHero.com on 01-31-2022 01:13:01 GMT -06:00
https://www.coursehero.com/file/73227907/STAT-200-Week-2-Homework-Problems-2docx/
