Christie Kyriacos Professor: 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
Create a frequency distribution
Find the range:
largest value – smallest value = $60,332 - $22,117 = $38,215
using 7 classes
Find the class width:
width=range/7=$38,215/7=$5459.286=$5460
Find the class limits:
$22117 + $5460 = $27577
$27577 + $5460 = $33037
$33037 + $5460 = $38497
$38497 + $5460 = $43957
$43957 + $5460 = $49417
$49417 + $5460 = $54877
$54877 + $5460 = $60337
Find the class boundaries:
$22117 - .5 = $22116.50
, $27577 - .5 = $27576.50
$33037 - .5 = $33036.50
$38497 - .5 = $38496.50
$43957 - .5 = $43956.50
$49417 - .5 = $49416.50
$54877 - .5 = $54876.50
Find the class midpoints:
midpoint = (lower limit + upper limit)/2
($22117 + $27577)/2=$24847
($27577 + $33037)/2=$30307
($33037 + $38497)/2=$35767
($38497 + $43957)/2=$41227
($43957 + $49417)/2=$46687
($49417 + $54877)/2=$52147
($54877 + $60337)/2=$57607
Frequency Distribution for median incomes of females by state in US
Class boundaries
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
Create a frequency distribution
Find the range:
largest value – smallest value = $60,332 - $22,117 = $38,215
using 7 classes
Find the class width:
width=range/7=$38,215/7=$5459.286=$5460
Find the class limits:
$22117 + $5460 = $27577
$27577 + $5460 = $33037
$33037 + $5460 = $38497
$38497 + $5460 = $43957
$43957 + $5460 = $49417
$49417 + $5460 = $54877
$54877 + $5460 = $60337
Find the class boundaries:
$22117 - .5 = $22116.50
, $27577 - .5 = $27576.50
$33037 - .5 = $33036.50
$38497 - .5 = $38496.50
$43957 - .5 = $43956.50
$49417 - .5 = $49416.50
$54877 - .5 = $54876.50
Find the class midpoints:
midpoint = (lower limit + upper limit)/2
($22117 + $27577)/2=$24847
($27577 + $33037)/2=$30307
($33037 + $38497)/2=$35767
($38497 + $43957)/2=$41227
($43957 + $49417)/2=$46687
($49417 + $54877)/2=$52147
($54877 + $60337)/2=$57607
Frequency Distribution for median incomes of females by state in US
Class boundaries
