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ES=Answers may vary.
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H=$.hint$
INST=The table below shows the distribution of families by income in a particular urban area.<br>  Use the table to answer the following questions.  Round all answers to two decimal places.<p>\n<div=c><table=A2P2p2>\n<tr><td=c>V0</td><td=c>V2</td></tr>\n<tr><td=c>0-9,999</td><td=c>V5</td></tr>\n<tr><td=c>10,000-14,999</td><td=c>V7</td></tr>\n<tr><td=c>15,000-19,999</td><td=c>V9</td></tr>\n<tr><td=c>20,000-24,999</td><td=c>V11</td></tr>\n<tr><td=c>25,000-34,999</td><td=c>V13</td></tr>\n<tr><td=c>35,000-49,999</td><td=c>V15</td></tr>\n<tr><td=c>50,000-79,999</td><td=c>V17</td></tr>\n<tr><td=c>80,000-119,999</td><td=c>V19</td></tr>\n<tr><td=c>120,000+</td><td=c>V21</td></tr>\n</table></div>
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Q=<hide>::What proportion of families have incomes of at least $V23?<br>\n<box>V25</box><p>\nWhat is the median income range?<br>\n$<box>V34:0 - 9,999:10,000 - 14,999</box><p>\nFind the mean of the lower limits for the annual incomes.<br>Round to the nearest dollar.<br>\n<box>V46</box><p>\nFind the amount below which V55% of the families have lower incomes.<br>\n$<box>V56</box>\n</hide>
SA=Answers may vary.
T=MI
TF=-1
TL=
TOL=+1E-4
U=NOUNIT
V0=S"<i>Annual Income ($)</i>"
V1=S"<i>Proportion of</i>"
V10=I[25,35]
V11=R*.2(V10/100)
V12=I[5,15]
V13=R*.2(V12/100)
V14=I[9,20]
V15=R*.2(V14/100)
V16=I[1,9]
V17=R*.2(V16/100)
V18=I[1,9]
V19=R*.2(V18/100)
V2=E"stack('V1','V3')"
V20=R*.2(V5+V7+V9+V11+V13+V15+V17+V19)
V21=R*.2(1-V20)
V22=E"assert(V21>0)"
V23=L[V24:10000,15000,20000,25000,35000,50000,80000,120000]
V24=I[1,8]
V25=L[V24:V26,V27,V28,V29,V30,V31,V32,V21]
V26=R*.2(V7+V9+V11+V13+V15+V17+V19+V21)
V27=R*.2(V9+V11+V13+V15+V17+V19+V21)
V28=R*.2(V11+V13+V15+V17+V19+V21)
V29=R*.2(V13+V15+V17+V19+V21)
V3=S"<i>Families</i>"
V30=R*.2(V15+V17+V19+V21)
V31=R*.2(V17+V19+V21)
V32=R*.2(V19+V21)
V33=R*.2(V5+V7+V9)
V34=E"((V33>=0.5)?'15,000 - 19,999':'V36')"
V35=R*.2(V5+V7+V9+V11)
V36=E"((V35>=0.5)?'20,000 - 24,999':'V38')"
V37=R*.2(V5+V7+V9+V11+V13)
V38=E"((V37>=0.5)?'25,000 - 34,999':'V40')"
V39=R*.2(V5+V7+V9+V11+V13+V15)
V4=I[1,12]
V40=E"((V39>=0.5)?'35,000 - 49,999':'V42')"
V41=R*.2(V5+V7+V9+V11+V13+V15+V17)
V42=E"((V41>=0.5)?'50,000 - 79,999':'V44')"
V43=R*.2(V5+V7+V9+V11+V13+V15+V17+V19)
V44=E"((V43>=0.5)?'80,000 - 119,999':'120,000+')"
V45=I(10000+15000+20000+25000+35000+50000+80000+120000)
V46=I(V45/9)
V47=R.2(V5+V7)
V48=I(V47*100)
V49=I(V33*100)
V5=R*.2(V4/100)
V50=I(V35*100)
V51=I(V37*100)
V52=I(V39*100)
V53=I(V41*100)
V54=I(V43*100)
V55=L[V57:V48,V49,V50,V51,V52,V53,V54]
V56=L[V57:15000,20000,25000,35000,50000,80000,120000]
V57=I[1,7]
V58=L[V24:eight items,seven items,six items,five items,four items,three items,two items,item]
V59=L[V57:two,three,four,five,six,seven,eight]
V6=I[1,15]
V60=R*.2(V55/100)
V7=R*.2(V6/100)
V8=I[20,30]
V9=R*.2(V8/100)
W=<step>The sum of the last V58 is <box>V25</box>.</step>\n<step>Locate the range corresponding to <box>0.50</box> families,<br> starting from the top and adding down the list of proportions.</step>\n<step>Thus, the median income range is $<box>V34:0 - 9,999:10,000 - 14,999</box>.</step>\n<step>Mean of lower income levels:<br> <frac>0 + 10000 + 15000 + 20000 + 25000 + 35000 + 50000 + 80000 + 120000:<box>9</box></frac> = $V46</step>\n<step>The sum of the first V59 proportions is V60 which means that<br> V55% have incomes less than $<box>V56</box>.</step>\n
YN=-1
cnum=4
followup=
ilev=0
mcdm=1
mdm=0
mpc=unspecified
mpn=2
mpv=2.0
mwnum=2
ncd=-1
subject=unspecified
varnum=65