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STAT 200 Week 2 Homework Problems

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STAT 200 Week 2 Homework Problems

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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




Max $60,332
min $22,117
Classes
Range = Max - min $38,215 7

7 Classes divide into 38,215 $5,459.2 5460
9



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.

, Histogram Median Income for Females
25
20
15
Frequency



10
5
0
27,577 33,037 38,497 43,957 49,417 54,877 60,337 More
Median Income




Median Income for Females
0.45
0.40
0.35
0.30
0.25
0.20
Relative Frequency




0.15
0.10
0.05
0.00
22116.5- 27576.5- 33036.5- 38496.5- 43956.5- 49416.5- 54876.5-
27576.5 33036.5 38496.5 43956.5 49416.5 54876.5 60336.5



Classes




- Looks like the median income peak at 38497 for most female income and then falls back
down as less females’ income raises, capping around 60,337. The shape starts out very
low, then raises to peak and then falls.


2.2.10

Create an ogive for the data in table #2.2.10. Describe any findings you can from the graph.

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