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AP Statistics Summer Assignment 2017

16

2017

2017 - 2018

AP Statistics Summer Assignment

Part 1: Vocabulary ListPlease define each of the following terms from the information on the stattr•ekv4rebsite. Words in ~tu~ can be clicked an for more information. When askedprovide a unique example or sketch of the ~~rard ... one NaT liven on the v~rebsite.

1. Categorical Variables

Exampt e:

2. Quantitative Variables

Example:

3. piscrete Variables

4, Continuous

5. Univariate Data

6. Bivariate Bata

7. Population

Example:

8. Sample

Example:

AP Statistics Summer Assignment

9. Median

10, Mean

Formula:

11. Csuttier

12. Parameter

13, Statistics

14. Range

1~. Standard Score (z-sears)

Formula:

1'6. Center

17.Spread

18. Variance

Formulae3

AP Statistics Summer Assignment

19. Standard Deviation

Fo~muta:

20.Symmetry

Sketch:

21. Unimodal

Sketch:

23.Ske~,rness

Sketch Skewed left:

24.Uniform

Sketch:

25.Gaps

Sketch:

22. Bimodal

Sketch:

Sketch Skewed right:

26.OutEiers

Sketch:

AP Statistics Summer Assignment

27.Qot plats

28. Bar Chart

30.Difference between bar chart and histogram

31.Stemptats

32. Boxptots

33.Quartiles

34.Range

35,{nterquartile Range

36. Four Ways to Describe Data Sets

29. Histogram

37. Types of Graphs that can used for carnparing data

AP Statistics Summer Assignment _

Part 2. practice ProblemsC'A'TECiQRIC'AI.OR QIx'ANTITATiVE

Dete~~n gle if tl~e ~°a~Yabl~s lisEe<t ~iel+~t~ ire gt~~rtatitcrtit~e. or cntegoricnl.

I. Tuii~ it t~~,.e~ td het tc~ scl~c~ol

2. ~Tt~rul~~~• of laea~~le it;lcl~i' I S Iltjill~; 1T7 1 ~1O1152I1O1C~

3. H~i~• valor

~, Temper~ttu•e cif a cup of coffee

$, T~1CI121 SflI~i2'1~5

6. G~I1t~eI'

7. Sii~aking

S, Height.

~..tLtllQit2lt Of OlI 5~1I3~CI

1+~. ~4~z ~f 4~car ~~~iiuters

11. Ty'~)~ Uf D@~7t'~SS40T11i1~C~IC~~1011

12, 1"ell~tUeau fla~~or;~

l ~. ~"dt~ntsy of o~~i~iu

1~. Type ufiueat

1 S. I~di~itrbei~ of sloes uti~~~recl

ST~T'ISTIC —j~'HAT IS TIiAT?

t~ stat siic is ~ nt~iul~er ealculatecl f~'Q111 C~~1~c1. Ql1ii11t1t1t1VQ Clittc~ I1flS ll]All}' (~l~f~i~ei~t statistics that c~ii b~c~tcuiated. DeteiYi~iiYe the given statistics from the ct~Ca l~eluttF o~~ the i~uitiber of hninetl~iys Mirk 11~~icGttu'e hi#iti each season fi~am 1:82 — 2 01.

7~ 5~ ?~ ~~ ~~' S~ 3

~5 ~? ?~ ~7 ~? :~.3

~~~~a~~

~~~ul~ttui

=f~~~j~t~r7~

1'~d~~f.~fc~I2

~~

~~

~.~t21~~

1 ~.

6

AP Statistics Summer Assignment

f1CC°D7ENTA.L DEATHS

Ill I~~T f~g2PZ Ud~T2 9c~.:~S~ CIe1~I15 ff'011l iiCC1C~~Y1tS lIl fll~ Ull1~~C~ Sffl~eS. l~ai1101~~ these ~~~ei'0 ~i,~~(~ t~ec~~12:5fl'Q211 iltOt01' Zt~lltCle iiCC1C~211tS, 11,~~~ f2'Olil tfl~~S, 1Q,I~.~ ~TCxlli ~Q1S011111~. =~C1S1 ti'011l {ll'OSt'22ItY~, 1I2tj :3GC~1

fia~n files. Tl~e rest t~~~ere listed ~s "other" c~►uses.

a, Find tF~e pei•ceiit of accidental deafhs fio~n erych of these causes, rc~undect to tl2e nearest percefit.

b. ~Vl~af pereeiit of aceideutal depths were from "otlae~•" causes?

c. FEATLY cr~at~ a i~Tell-l~bzleel #~:rr gr.~pt~ of tl~e ctistt~il~utiou eaf causes of ~ccicleait~I deaths. Be sure ~oi21C~t1C~@ iill "O~ll~l' l"e1115@S" 1~1f.

r~ _ ~...,} ~

~~~

~ ~ 6 ~tr ~ r

& .. p~ ~ @ ~ ~ ~ _ _, _

( ~ ~~ t I d '. I ~

t

" ~ ~ ~,

1 ~ ~.:. ~ ~. `M ~ s ~ j

~ ~ ~ ~ ~ ~ ' _j r ~ ~_ ,.

d~. ,.

i3 3

C '.

ti 4 ~ ~

~ ~ ., ~ ~~ ,,

' '~ 1.~

'. ',

~ '. '

{p

~. ~,. ~ ~ (~. . 9 ~ s

',

~~

ci. ~-1 pie cliai~t is auotlier gr~pl~ir~l cirsplay used to show X11 the categories ti a categorical v~riabl~ rel~ti~~z t~each oth~f~. Create ~ l~iz ehai~t for the ~ccicl~ntal de~tli percenta~,es. You in~~r h~y ti5iiig a sofri~l~r~ o~~ iut~i~ietsotire~ to ma~:e une a~td paste in tlae space t~elcs~~~. (llTicr•oso~t E~:r.~l. tit~orks tt1ellj

7

AP Statistics Summer Assignment

IT's A T1T~rISTA

Tli~ data h~low gives tl~e in~nrl~er oflm~ric~i~es that li~~~pei~ed each year fr~Fn 19~~4 tlu~au~h 2Q44 ~s reported

UyF S'cierace. illagaziil~.

~~0~~~~~~~~~~~~~~D~A~~~O

~~~D~~~ADA~~~D~~D~~A~~~O

DA~~~~~~~~~~~~~~~~~~~~~~

~.1~^lake ~ dotl~lot to cti~~~2ay these ~l~ita. Ivf~ke ~ttre yeti inctttde ~tpp~oprz~te Iabel~, tit4e, Duct Seale. Tl~e

gr~~Ii dal>ei~ should Bella enstue you spice y~ui• iiiarltuigs ~S=c~u i~i~y use x's or dots) cogisist~ iti~r,

F:~

AP Statistics Summer Assignment '

SHOPPING SPREE

A, ivark~tin~ coi7s~tfltant al~s~i~ed 54 co~~ecttfi~ra sha~p~i:s ~t ~ sup~ty~ia~•~:et, 4~ie ~r~riaUle ~f in~e~•~~t tiaras

l~c~u£ i~~ucli each shopper spent in tl~e story. Here ai°e the cl~ta (rottp~ei tc~ tli~ nearest ctailarj, flTl'111~~CC ailincreasing orc~ei•:

l~ I~~ 1=t 15 l 17 1

1 x~ 1~ ~G ~ -~~ I ,~ ~,.~ ,

~G 3'~ 3~ =~1. ~3 ~5 ~'~ ~~~~ ~3 ~5~ 5~ ll 7~i ~~ ~ ~i ~~

~. TvT~1:~ a s~em~lflt usuig dens of ~loll~a:~ as ~l~e ste;1~ ~u~l ctoll~is as tli~ 1~~~=es. ~vS~l.z ~ur~ S aki inelt~cie

a~a~~ro~~~~iate l~Uels. title Mitt l ey.

E

AP Statistics Summer Assignment ;

VGrHERE DO OLDER FOLKS LNE?

This table ~it~es the percentage of r~sidei~ts atrect 6~ or older ui e~cl~ of t1i~ Sp states~t~,t~ P~rc«~nt 5t1tr P~t~c~i~f ~tat~ P~r~e~~tAlab:►zx~ I3.I L~ruisi~n~ ~ 1.> Ul~ic~ 1~3.~~Al ~~~,a `~. h+iaine 14. Y t~ll~~~a 13.4~i.~'1ZO12f1 ~~.~ ~1Y}'1a112(~ ~ l.'~ ~}Y~~F<}il ~~,A~-k ~s 1~.~ ss~~~la~~~~#ts 1~.Q Pe~~nsvl~an~ 1~.C".~ttifonu~ l~.I IViichigan 1~.~ R1ioc~I~l~uc1 l .~Ca~lora~~r~ ~(~.1 Mu~u~sat~ 1'?.3 ~u~ail~C"~rcrli~z 1"?.?C"+aiun~ct~t~t 1~.a Mi:~sissip~ai l?.~ ~ic~utli~l~~at~ 1~.~D~~~~,v4tre I:~.~J Ivlis~ow' 1~.7 'I'~u~,e-~se~ l?,Fluricl~ 18.3 Mo~tt~~ 1 ~.3 Tex~~ 1 a. lCiec►r~~ ~,~ Tv'~~ar~skn 13.$ L1#~li $.H~s,~=;viii 1~.3 I'~~~~d~ ll.~ ~'~rz~~~nr 1?.3Id~lx~ l l _~ Iti~t~= ~t p~hire 12.0 ~~irnia 11.3Il~u2~is r~.~4 ~~u~ J~-~~X 13.G t~~lshii~~k~n 11.5I~di r~ 1'?. ~ dew Me~i~c~ 1 lob I~4'~st ~~irg~i~ l ~.?I~a~~ 15. I ~ e Yorl 13.3 Vi~' .~tous~l l ~~ _'I an 2~.5 l~'razrtly C~ttrolui~t 12.5 'GL'~~~lt1?tt~ 11.5I~e~it~~~ 1`~, r l~' li D~kot~ 1~.~

Histogi~:~ms ai~e A i~ra~~ to clispla~~ gi~oui~s of quautitnti~~e data into bias (tlie u:~rs), Tliese bias ha~~e tl~esnme ~~ricltli s►nd scale and ire touclliu~ Ueca~tse the number lice is continuous. To ~nnl~e a liistogi~am~~o~~ must first decide ou ~n 1Pp~~opriate Uiu ~i~icith :~ucl count I~o~~ inau~r obser~~~fions are iu eacL bin.The bins for pei•cent:~ge of i•esiclevts ~ge~l 65 ai~ older 1~:~~'e ueeu st.~i•tecl belo`j~ foi~ ;c-ou.

a. finish the chart of Bin ~~idtlis aiid then create a liistograiii using those UiiYs ou t1i~ grid below. I~~1~ke s~~rz}~oti uiclude agp~•o~~riate labels. tlfiz i111C1 SCill~.

Biu «'idilis Fi•e ueuc~~4 ta<=6 l6 to •== 8S to °~-1 Ci

Fri]

AP Statistics Summer Assignment

SSHA SC'(3RES

Here ire the _scores oii the Suitt ey of Shtcty Halaits and Aftituctes-~~SHA) for 1 ~ fiat-}'ear call~ge ~~ omen;

1S4 1C►~ 13~T 115 ~15~ 14t7 154 l7~ 101 1q3 1~?G 1?C~ 1_`~~ 1G~5 1~i51?9 ~C►Q l~~

and for 70 fix•st-year college xneu:lU8 1=F0 11~ 91 lSt7 11? 12G 9? 1~) 146 109 132 75 83 11'3

1S1 70 115 1S7 T04

~. Put the date values ui order fir ea~l~ geticter. Caizipute nuuier~l summaries foi~ each gentler.

Women ~IeuI~Ie~i1 141e~llIV111lllllllill NT1I11ti111111

1

~%T2~lc`'tll IV14'C~1SL1

IVT1Sl lllti111 ~iiill'I111tllll

Rw~~ Rctn~eIt~}~. IQR

il'

AP Statistics Summer Assignment

ALGEBRA PAGE e

Ttte l~r~erequisite for AP Sfatistic~ is ~,IgeUra II. I~ou ~~£ill i~at fii~el c~~~-y mueh equation s~l~riu~ in tl~~s co~irse, Ut~t

sa~r~e quick ~~et~iew~ of r1l~ebra I and Algel~r~ II content ~~~ill ire 1ie11~fi~l.

Tv rtras~~~~~~ t/re foltaa~~it~b refer to f/re re~a~lr"~rg~~ otf ~ur~~w.st~rftrc~k.cortr "Sur~~ey S'nr~tl~li~rg Metlrotls':

The 7 ryl~e~s of s~i~iplii~g designs ~~•e:

r1. ti=e~lun~aiy res~~c~nse B. CQI1~~~Iii~11C~

E, cluster ~. IllilltlSt1~e

C". ~iniple r~;ictoin D. st~~~tifi~d

G. S~.St~111~tIC

1. Tlie I~farylai~ci cli~~isian of ~Vei~ht ~stcher~ i~ cl~ici~ rzsea;~ci~ to cletei7~iii~e hocv many peal}4e air the ~'~F~i~1it

W~te2Yers diet cheat at least o~ic~ n week. They decide that anonyinoiis sttr~~eys will tri~-e their az~ ace«~•~t

reps°~seutatia~~ Ui~t cto clot lia~~e tine to het responses fi•c~m ALL t~~e ~faiyland S~Vei~lit ~,~Vatclters l~ea~Ie.

Read tlte.scerrarios belo~~1 grad c~~ter~~nirre ~t~hiclr of the 7 sc~r~~p~itrg lrretirorls best c~es~ribes it.

I. Randoiilly select 10 members fic~ni each of the 'GTt~W c~i~~ei.s i►i the ~vi~iylanct cli~~~i5ioi~.II. LTse are X11}liat~etic~l listing of all 3via~~yl~ncl cli~,~151t~i1 i11~1111t~1:S. R811t10111I~a clic~o~~ a ~tartui~

p~rsc~n ~aii the list. Then sele~f every ~?Owl~er~c~iY ttzer~eaft~r.III. Raucloiuly setzct 2 oi• 31~r~ncli~s ~f the I~i~i~f~sp~ci cti~*isiun ~nci sut~7~y esTeiy uieu~l~~r of dint

center.IV. Send ot~t Elie sui-~rey to et~~ay niemtier cif the 3t~aryl~t~d ctivi~ia~i. Place clro~~ faxes ip~ eael~ ~4''~T~'

center. anyone Julio rett~;Yis ~ sui~Fe~ to ll U~ ui tli~ saiiilale.V. Tlie ~Ta~yl~ncl regional office is in Baltimore s~ the}~ 511TC"~~ 111e1llL1eT5 1f k~l~ 4~I~~~vF C~I1~21' 111

$~11ti111OTZ.ZTI. Fro~z a n~tnil~ered list of ~tl ivi~iylai~cl division izie~n~a~~s rise ~ con~~x~t~r fo randomly select 10(~

u«ml~er~s end sut~'~y' ~tll 111~ll1~B1'S th'I~Il t~IQS~ COTf~S~JC711C~1ll~.,111t122~leloS.

~. ~l~~c~t 1S tI1C i)4~U11fiC111 Qf tiitef05~ lil fllZ ~~~' S1tll1tf011:~

t: — .t"Het•e is rr foyt~rtrtn t/rrrt rs rEs~~X after in .~P.St~tistics: _ t~SB~~~arn~ algebra shills...

s1. If z = 2.5, x = 10? and x = 104, ~~~h~t is s'? Sl~otiu ~~aut~ ~~oi~k,

2. If z = -3.35, ~. = G~, a~ict s = ~, ~~~liat is a: ? Shoti~~ you~~ ~~Fark.

12

AP Statistics Summer Assignment

If is ~:Yl~~ctF~~l thnf,~~du lrr~i~e ~ flrorauglr unders/frnrlr'trg of lir~enr Jtr~rcfiorr.s nrrrl scaf~e~lllots,

1. Tlie USDA i~el~orfecl that in 199 each ~~ei°s4n in the tliiitecl States cQnst~~lieei air a3~er~~e cif 13:~ ~c~te~~cis of

natu~~al s~~eeteners. TIie~7 also claim this ~matint his clecreasecl Uy aUout 4.6 pottiicts each ye7i•.

a. If 19 0 cQ~~lr1 be eon~icle~~ed "year t~'", u~hi~h of the a1~o~Fe i~ninUer~ rela~~esents tl~e slope aid ti~rl~ic:l~

rel>~~~~ents Elie y-iiitercep~?

b. ~Vl~ryt is the ~c~uatioti of the line of best fit usuig the slope and 5~-iiiteree~at ~L~otF+~?

c. Pi°edict tl~e a~.Ferage ec~nsumptian of s~~~eeteners pet• l~ers~~~ for tli~ year 2t~05.

?. T`1i~ fi~11o~~Fii7~, eq~x~ti~n can lie ~isecl to predict the at~~r~r~e height of ~a}fs an~c~rl~~re l~et~ueeii birth a~~el

I S years c~1d: ~~ = 2. ~9:~ + 25.G~, ti~Fl~ere x is fhe sae (ui }~ea~•s~ ~nci y is tl~e l~eiglit (in i~~ches~.

7. 'vjTllfl~ CICI~S tI1L SIQ~~e Te~)T85~Ilf 111 tji15 ])I`0~.)IZlli? II1~~T~}i`~~ lY 111 file CQIIt~Xf ~f tlliS 13i'OI1~~ll1ISYtltii~IQI1.

ti. What does the y-intei•ce~at represent iu this problem? uiterpret it i~~ coiite~t.

3. Hilary r~~r~nd~y-s if people of sin~il~r l~zigl~ts tend to elate e~cti other. 51~e nYea~iires herself, l~~r clai•initot•;~

roanlii~~te, ai7cl tiie ~wanien iu the ~cijoinui~ rooms; ~IlzTl SIl~ 211~1St12'~S tll~ ri2Y~ Yll~ili ~1CI1 ~V~illiill C~1~~~. H~I'~ ili`~

tl~e cl~ta (l~eig~xts ui i~~clies):

~~wt~nl~c~~ C ~~ GCS 5 7~ ~:5

~1~~~: a? 6~ ~t~ C~~ ?=~ C

A. C`oipstn~cT a scatter~Iot of t1~e date.

B. Taescrit~e the associ~tio~i U~tu~een tl~e h~i~hts

of the utQmeii ~iicl the min the3F elate.

13

AP Statistics Summer Assignment

Yorr are Ha~~~ctc~cl to Irm~e ~r C~rr.s~c rutrleYstan~lfr~g ofsitrtl~le~rob~rZilfl~}. I~yOtl f~t1(I flt~'Sf j)YOIIIE'tt1S "less

r/tfltl t1t(t[l~(VE''~ ~hE'YE' ltYP tfllfttE'1'OILS S1fE'S (l1'(I%1`f1U1R 0111~itE' l~/1 f!/ jJY01'%!l E' blf.SiC j)Y01)llU11~f}' ~1j)lfll!!!fi(lltS.

i. A s~eci~l lottery is to Ue I~elcl to select the sntcteiit i~th~ 4a~i11 li~Fe iu the only deluxe roofn in a ciorn7it~ar}~.

Tli~ere are IOD senio~•s, 1 ~0 jtuiiors, and 2U0 sai~homores ~,vl~o al~pliecl. Eaeli senior"s naiiie is I~Iacec~ iF~ tl~e lottefy

3 tunes; each j«uior's name, 2 times; 3nct each sophomore's name, i tu~~e. ~n~at is tl~e prabaUiliry rl~at a seni~ris

iiaifie t~7ilt lie chase~Y?1 ~~ 2 3 1

A. — B. — C'.— D. — E.—s ~ ~r ~

2. ~JVhieli cif the foll~~~ring leas a ~roUabitity closest to 0.5?

A. Tl~e s~ui ~vi11 rise tamoiroly.B, It ~~~ill rein tomorro~~'.C̀ . Yrou ~~~ill gee ~ dog with only three legs. t~~lien you I~a~•~ tl~e roc~i7~.

D. A f~iF~ die v~Till come crp ~,vitli a sc4i~e of G faui• tiine:~ in a ro«~.

E. Tll~l'e ~ylll I?~ 1 ~)l~ll~ CI'fl5I1 SOI11eWI1212 111 fll~'~~ti~C~TICE t~°1tI11Il ~Il~ 11ZXf Ft'l-e ~iiin~►tes.

~~. Ff ~ coin is tossed n~fic~, ~~Fl7at is the grot~aUility that au the fu~st foss tl~e coi~i l~iids heads anti ou the setie~iiclLOSS ~Ii~ C4111 IZIICl~ BITS'? (HilY~: WI18t ~F~ f~l~ 1)QSSlUl~ Ol1tC0111~5 VLxi1211 ~`t3li tQSS ii COIlt C4~i'IC2'?)

A. 1/G~, lliC̀ . i/

~. 1r~2

E. 1

~. If a coin is tossed tc~rice ~ult~t is the proUability tliaf it. will l~nct either lieacis both tiiues ar• tails U~t~~ times?A. 1l8B. lf6C°. 104D. 1/2E. 1

5. C'~let~late tli~ following probabilities anct ~~~rauge Them iii arcter fi•oi~t least to greatest.I. The pt~ot~abitity that a fair die «till ~~re~dteee ~n e~~en mipiYl~~r.

II..~. 1'i31iC1C1121 t~l~lt fl'011l 1 YO ~ ~111CIttSltr~7 IS C~103ei1, ~~sfith all digits beint, equ~lty likely. TIYe prababitity

that c~~l~~n it's squared the ai~s~arer ~~~ilt cai~t~iii tli~ digit 1.

III. T1~e ~i~abaEaility t1~1t ~ letter cliasei~ fi•am the nll~l~~bet tivill be a vo~~~et.

I~ . A r~t~ciom mamUer U~hveen 1 aril ZO (inclt~si~~e} is eliosen. TIYe pr~U~bility that its sc~taare i•aot titi-ild

nut Ue an integer.

ORDERt

14