STAT 200 Week 2 Homework Problems [With Complete Solutions] A+ Guide

Class: 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 ("Med ian 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 limits Class boundaries Class midpoint Tally Frequency $22117 - $27576 $22,116.50 - $27576.50 $24,847.00 I 1 $27577 - $33036 $27576.50 - $33036.50 $30,307.00 IIIIIIIIIIII II 14 $33037 - $38496 $33036.50 - $38496.50 $35,767.00 IIIIIIIIIIII IIIIIIIII 21 $38497 - $43956 $38946.50 - $43956.50 $41,227.00 IIIIIIIIIII 11 $43957 - $49416 $43953.50 - $49416.50 $46,687.00 IIII 4 $49417 - $54876 $49416.50 - $54876.50 $52,147.00 0 $54877 - $60337 $54976.50 - $60337.50 $57,607.00 I 1 Relative Frequency Distribution for median incomes of females by state in US Class limits Class boundaries Class midpoint Frequency Relative Frequency $22117 - $27576 $22,116.50 - $27576.50 $24,847.00 1 1/52=.02 $27577 - $33036 $27576.50 - $33036.50 $30,307.00 14 14/52=.27 $33037 - $38496 $33036.50 - $38496.50 $35,767.00 21 21/52=.40 $38497 - $43956 $38946.50 - $43956.50 $41,227.00 11 11/52=.21 $43957 - $49416 $43953.50 - $49416.50 $46,687.00 4 4/52=.08 $49417 - $54876 $49416.50 - $54876.50 $52,147.00 0 0/52=.00 $54877 - $60337 $54976.50 - $60337.50 $57,607.00 1 1/52=.02 Total 52 1 Cumulative Distribution for median incomes of females by state in US Class limits Class boundaries Class midpoint Frequency Cumulative Frequency $22117 - $27576 $22,116.50 - $27576.50 $24,847.00 1 1 $27577 - $33036 $27576.50 - $33036.50 $30,307.00 14 15 $33037 - $38496 $33036.50 - $38496.50 $35,767.00 21 36 $38497 - $43956 $38946.50 - $43956.50 $41,227.00 11 47 $43957 - $49416 $43953.50 - $49416.50 $46,687.00 4 51 $49417 - $54876 $49416.50 - $54876.50 $52,147.00 0 51 $54877 - $60337 $54976.50 - $60337.50 $57,607.00 1 52 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