UpperQuartile(Q3):(3/4)(n+1)=(3/4)(16)=12
Thetwelfthmeasurementis9
b) Slide50
a) 80thPercentile:
(p(n+1))/100=(80x16)/100=12.8
Thethirteenthmeasurementis9
Slide52
a) zscorefor10=z=(x(barx))/s=(107.6)/2.32=1.034
zscoreispositive,soIconcludethescoreof10liesadistanceof1.034standard
deviationsabove.
b) zscorefor10=z=(x(barx))/s=(57.6)/2.32=1.121
c) zscoreisnegative,soIconcludethescoreof5liesadistanceof1.121standard
deviationsbelow.
2.34
a)
b)
StemandLeafofRadioactiveLichenN=9
LeafUnit=0.10
4
2
5
5
0
0
6
6
c)
1
0
6
9
Histogram
d)Ipersonallylikethehistogramgraphasbeingthemostinformative.Youcanreallyseethe
differenceinthenumberofradioactivelichenwithabarchart.Thedotplotisthesecondmost
informativechart,asitalsoshowsthetrendofradioactivelichen.Theleastusefulwasthestem
andleafdisplay.
e)44.444percentofthemeasurementshavearadioactivitylevelof5.00orlower.
2.90
a)barx,themean,is206/25whichequals8.24.
s^2,thesamplevarianceis61.3696/24whichequals2.557.
s,thesamplestandarddeviation,isthesquarerootofthesamplevariances^2(2.557),whichis
1.599.
b)barx,themean,plusorminusonestandarddeviationequalsarangeof6.641to9.839.
Thereare17measurementsoutof25inthesamplewithinonestandarddeviation,or68
percent.
Barx,themean,plusorminustwostandarddeviationsequalsarangeof5.042to11.438.
Thereare23measurementsoutof25inthesamplewithintwodeviations,or92percent.
Barx,themean,plusorminusthreestandarddeviationsequalsarangeof3.443to13.037.All
25measurementsarewithinthreedeviations,or100percent.
c)ThepercentagesfoundinpartbareaspredictedbyChebyshevsRuleandtheEmpirical
Rule.
d)Therangeofthedatasetis7,andtheroughcalculationofthestandarddeviationisbetween
1.167and2.333.Theactualstandarddeviationis1.599,whichliesalmosthalfwaybetweenthe
tworoughcalculations.
2.130
a)Thezscoreforthehighestsalaryofferis(75.052.33)/9.22,whichequals2.459.Thezscore
forthelowestsalaryofferis(35.052.33)/9.22,whichequals1.880.Thezscoreforthemean
salaryofferis0.Thismeansthehighestsalaryofferisunusuallyhigh.The75thpercentileisat
$59.0thousand.Thismeansthehighestsalaryofferis$16thousandhigherthanthe75th
percentilesalary,anunusuallylargeamount.Themeansalaryisonly$52.33thousandandthe
mediansalaryisonly$51thousand.Thelowestsalaryofferisunusuallylow.The25thpercentile
is$45.3thousand.Thismeansthelowestsalaryofferis$10.3thousandlowerthanthe25th
percentilesalary,wellbelowwhatwouldbeexpected.
b)
2.176
a)
Huananhujiao
0
Xiaoyiepaai
xiang
0
Maoju
0
Dayieju
0
Yansen
0
Bianyiehujiao
0
9
Huanghuahujiao
1
2
5
Jiaju
2
4
5
Bibo
3
1
3
Xieyieju
4
0
Jiaoguohujiao
6
2
Haifengteng
(Japan)
7
0
Duomaihujiao
Zhangyizhujiao
Shinanteng
Shanju
Haifengteng(Fuji)
5
7
b)ThemeaninhibitionpercentagefortheChineseherbaldrugsis27.824.Themedianinhibition
percentagefortheChineseherbaldrugsis24.Themodeoftheinhibitionpercentagesis0.In
reviewingthetableabove,IfindthatmostoftheChineseherbaldrugshavelittleeffectin
plateletactivatingfactor(PAF)inhibition.Sixoftheherbaldrugs,overathirdofthesurvey,had
noeffectatallinpreventingPAF.FourmorefailedtoachieveevenanaveragePAFinhibition
rate.Buttherearesomepromisingresultsforthreeoftheherbaldrugs.Theseshowupatthe
bottomoftheofthestemandleafdisplay,havingabetterthanseventypercentinhibitionrate.
Mostoftheherbaldrugshaveafortypercentorlowerinhibitionrate.
c)Themeanandmedianappeartolocatethecenterofthedata.Themodedoesnot.Inviewing
thisgraph,itisrightwardskewed.Themodedoesnotlocatethecenterdata.
d)Therangeofthedatais77.Thevarianceis777.404.Thestandarddeviationis27.882.
e)Fromreviewingthetableandtheinformationregardingthemeanandstandarddeviation,the
intervalmostlikelytocapturetheinhibitionpercentageofaChineseherbaldrugis20.