ࡱ> ~} bjbjVV 4<<|| $ItuIwIwIwIwIwIwI$jK NIII uIuIElI`VKr"IG*aII0IsGN NTINI\II@IN| : Mathematical Design: Normal Distribution Practice Name___________________________ IQ scores are argued to have a distribution of N(100, 15). Use what you know about normal distribution to answer the questions below. Using the 68-95-99.7 Rule, determine what percent of people would fall between the following IQ scores: 85 and 115 __________ 55 and 145 __________ 55 and 115 __________ 100 and 145 __________ Find the z-scores for the following IQs: 124 ____________ 76 ____________ 130 ____________ The Unabomber (Ted Kaczynski) has often been cited as having an IQ of 170. What percent of people have the same or a higher IQ? Explain how you determined this. Forrest Gump was supposed to have an IQ of 75 in the movie. What percent of people have the same or lower IQ? Explain how you determined this. A common test of cognitive abilities is used to diagnose specific disorders and has a distribution of N(52, 5). Use this information to answer the following: A patient diagnosed with Alzheimers takes the test and scores a 45. What is the patients percentile rank? Another patient diagnosed with Parkinsons takes the same test and scores a 54. What percent of patients score above this level? Two children being tested for dyslexia score 58 and 43. What percent of people fall between these two children? A private school uses the cognitive test to place its students. The school uses the following percentiles in order to determine what level of difficulty might suit each individual student. Find the score necessary for each percentile. 90th percentile ______________ 70th percentile ______________ 50th percentile ______________ 30th percentile ______________ 10th percentile ______________ 2RSTE P ] h u    J & '   KMln h h hPhPhPhPH*h\hO/ hP6h{:hP h 6hqh hm</STD E [ \ ] s t u gdP & F gdP & Fgd4 gd  & Fgd    F G H I W X Y Z [  & FgdP & Fgd gd  & F gdPgdP[ \ ] V W X Y Z [ HIij^gdP & FgdP & FgdPgdPgd 21h:p / =!"8#$8% ^ 2 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~_HmH nH sH tH @`@ NormalCJ_HaJmH sH tH DA D Default Paragraph FontRiR  Table Normal4 l4a (k (No List PK![Content_Types].xmlj0Eжr(΢Iw},-j4 wP-t#bΙ{UTU^hd}㨫)*1P' ^W0)T9<l#$yi};~@(Hu* Dנz/0ǰ $ X3aZ,D0j~3߶b~i>3\`?/[G\!-Rk.sԻ..a濭?PK!֧6 _rels/.relsj0 }Q%v/C/}(h"O = C?hv=Ʌ%[xp{۵_Pѣ<1H0ORBdJE4b$q_6LR7`0̞O,En7Lib/SeеPK!kytheme/theme/themeManager.xml M @}w7c(EbˮCAǠҟ7՛K Y, e.|,H,lxɴIsQ}#Ր ֵ+!,^$j=GW)E+& 8PK!Ptheme/theme/theme1.xmlYOo6w toc'vuر-MniP@I}úama[إ4:lЯGRX^6؊>$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3ڗP 1Pm \\9Mؓ2aD];Yt\[x]}Wr|]g- eW )6-rCSj id DЇAΜIqbJ#x꺃 6k#ASh&ʌt(Q%p%m&]caSl=X\P1Mh9MVdDAaVB[݈fJíP|8 քAV^f Hn- "d>znNJ ة>b&2vKyϼD:,AGm\nziÙ.uχYC6OMf3or$5NHT[XF64T,ќM0E)`#5XY`פ;%1U٥m;R>QD DcpU'&LE/pm%]8firS4d 7y\`JnίI R3U~7+׸#m qBiDi*L69mY&iHE=(K&N!V.KeLDĕ{D vEꦚdeNƟe(MN9ߜR6&3(a/DUz<{ˊYȳV)9Z[4^n5!J?Q3eBoCM m<.vpIYfZY_p[=al-Y}Nc͙ŋ4vfavl'SA8|*u{-ߟ0%M07%<ҍPK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 +_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!Ptheme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK]  [  8@0(  B S  ?3322]u n%FHI22"(t7PnYKU*X/'a $ l0 K10o2oW5YRDm;c9NO G= EI ,8T -JZP cyx[z.%<~ 8U*vʤ)^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`o(.0^`0OJPJQJ^Jo( pLp^p`LhH. @ @ ^@ `hH. ^`hH. L^`LhH. ^`hH. ^`hH. PLP^P`LhH.^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH. hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH. hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH.^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`OJQJ^Jo(hHo^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH. hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH. hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH.^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hHh^`OJQJo(hHhpp^p`OJQJ^Jo(hHoh@ @ ^@ `OJQJo(hHh^`OJQJo(hHh^`OJQJ^Jo(hHoh^`OJQJo(hHh^`OJQJo(hHhPP^P`OJQJ^Jo(hHoh  ^ `OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hH hh^h`hH) ^`hH) 88^8`hH) ^`hH() ^`hH() pp^p`hH()   ^ `hH. @ @ ^@ `hH.   ^ `hH.^`B*OJQJo(phhH^`OJQJ^Jo(hHopp^p`OJQJo(hH@ @ ^@ `OJQJo(hH^`OJQJ^Jo(hHo^`OJQJo(hH^`OJQJo(hH^`OJQJ^Jo(hHoPP^P`OJQJo(hHnY c,8TU*EIt7-JZy$K1<~W5O G=m;c9l0x[z/'a8U*          p]½                                                                      P        4 kGq 1$O/4:\jk8u{:P^r$m<@2222p@UnknownG*Ax Times New Roman5Symbol3. *Cx Arial?= *Cx Courier New;WingdingsA$BCambria Math"h-*-*   !243QHP ? 2!xx+AP Statistics: Normal Distribution Practicegbecker2.T             Oh+'0,m   $ 0<DLT\,AP Statistics: Normal Distribution Practice gbecker2Normal.3Microsoft Office Word@F#@9\@9\ GkVT$m  5&" WMFCR +KlVT$m EMFKeU"   % %  Rp@Times New Roman Ͷ ж ζ Q-Wж xͶ ζ dж lP-Wж xͶ qQxͶ ж rQ%XG*Ax Times ew RomanF{Ͷ -QͶ Ͷ zQζ dv% % %  Tt w$ U@@ 1LMathematical Design: Normal Distribution PracticemY,2,N,,,H,'12I2!N,H'!22228!,,,-TT% w@ U@@% LP TTA wl U@@A LP ,Tk wU@@m LName___________________________UH,N,222222222222223222222222222TTwU@@LP 2- TT 9[U@@ DLP - Rp@Times New Roman Ј Ԉ ш Q-WԈ ш ҈ Ԉ lP-WԈ ш qQш Ԉ l,rQXG*Ax Times ew RomanD{Hш -Qш ш zQш l,dv% % % Tp ]U@@ [LIQ scores are argued to have a distribution of N(100, 15). Use what you know about normal i!H',2','2',2'23,2222,,22''22222C 22222 H',C22,22-22C222222'H2 TP AU@@ *+Ldistribution to answer the questions below.2''2222222&C,'1,22,'22'2,2CTTAU@@*LP '4 TT C@U@@ LP 4 % % % TX'U@@LP1.2Rp@"Arial ψ Xӈ Ј Q-WXӈ PЈ ш <ӈ lP-WXӈ PЈ qQPЈ Xӈ |-rQX3. *Cx Arial-W-W`U\-4G{Ј -QЈ Ј zQЈ |-dv% % % TT8%U@@LP K% % % T96'U@@9 LdUsing the 68H'212,22TT7W'U@@7LP-i!TXX'U@@XLP9523TT'U@@LP-'!T 'U@@L99.7 Rule, determine what222C2,2,,!N2,H3,TT  'U@@ LP ,T 0'U@@ 3Lpercent of people would fall between the following 2,",,32!2,22,H222!,2,H,,22,!22H31!"  T9)U@@9 L`IQ scores: I',2",'TT)U@@LP -!"  TT 9 U@@ LP P- Rp@1Courier New ψ Xӈ Ј Q-WXӈ PЈ ш <ӈ lP-WXӈ PЈ qQPЈ Xӈ rQX?=*Cx Courie New`UD{Ј -QЈ Ј zQЈ dv% % % TT U@@iLPo<% % % TT d~U@@ iLP Z% % % Te U@@ei L`85 and 11522,22222TT!U@@!iLP TU@@i L`__________2222222222TTU@@iLP -!"  TT 9U@@ LP - TT 9fU@@ OLP - % % % TTr U@@LPoU<% % % TT hdU@@ LP Z% % % Teh U@@e L`55 and 14522,22222TT!hU@@!LP ThU@@ L`__________2222222222TThU@@LP -!"  TT 9LU@@ 5LP - TT N9U@@ LP - % % % TT 5U@@LPoU<% % % TT d0U@@ LP Z% % % Te 2U@@e L`55 and 11522,22222TT!2U@@!LP T2U@@ L&" WMFC K`__________2222222222TT2U@@LP P-!"  TT 49U@@ LP 2- TT 9 U@@  LP - % % % TT$  U@@t LPo-<% % % TT  d U@@ t LP Z% % % Te R U@@et Ld100 and 145 222,22222TTS  U@@St LP jT  U@@t L`__________2222222222TT  U@@t LP P-!"  TT  9 U@@  LP 2- TT  9q U@@ Z LP - % % % TXs  U@@ LP2.2% % % TTs 8 U@@ LP %K% % % T9s  U@@9 L`Find the z7222,-TTs  U@@ LP-%!Ts U@@ Lscores for the following IQ s:',2!,'!2!2,!22H21 I!'TT s U@@ LP o-!"  TT  9W U@@ @ LP '- % % % TTc  U@@ LPo<% % % TT Y d U@@  LP Z% % % T`eY  U@@e LT124%222TTY  U@@ LP TY  U@@ Ld____________222222222222TTY  U@@ LP T-!"  TT  9= U@@ & LP 2- TT ? 9 U@@  LP - % % % TT & U@@ LPo-<% % % TT  d! U@@  LP Z% % % TXe # U@@e LP7622TT # U@@ LP T # U@@ Ld____________222222222222TT # U@@ LP T-!"  TT % 9 U@@  LP 2- TT  9 U@@  LP - % % % TT U@@eLPo-<% % % TT  dzU@@ eLP Z% % % T`e |U@@eeLT130%222TT |U@@eLP T |U@@e Ld___________22222222222TT |U@@eLP_2TT |U@@eLP _-!"  TT ~9U@@ LP _- TT 9bU@@ KLP - TT d9U@@ LP - TT 9HU@@ 1LP - % % % TXJU@@LP3.2% % % TTJ8U@@LP %K% % % Tx9JU@@9L\The Una=2,H2,T8JU@@RLbomber (Ted Kaczynski) has often been cited as having an IQ of 170. What percent 22N2-!!=,2H-,.02'2!2,'2!,22,,2-,2,'2,221,2 H3!322_2,2,!,,2!"  T9.U@@9ILof people have the same or a higher IQ? Explain how you determined this.2!2,22,2,3,2,',N,2!,213,! H.=32,222H0223,,!N2,22'TT.U@@LP -!"  TT 09U@@ LP '- TT 9U@@ LP - TT 9U@@ pLP - TT 9U@@ LP - TT 9mU@@ VLP - TT o9U@@ LP - TT 9SU@@ <LP - % % % TXUU@@LP4.2% % % TTU8U@@LP %K% % % T,9UMU@@9PLForrest Gump was s& WMFC Kupposed to have an IQ of 75 in the movie. What percent of peo72!",'H2N2H,''2223',222,2,,2 H2!2222,N22,_2,2,!,-22!2,2TNUU@@N L`ple have 2,2,2,!"  T9, 9U@@9"7Lthe same or lower IQ? Explain how you determined this.2,',N,2!2H-! H.=32,222H/223,,!N3,22'TT- Y 9U@@- "LP -!"  TT ;9U@@ LP - TT 9U@@ LP - TT !9U@@ {LP - % % 666666666666666666666666666666666666 6 66 6  6 66 6  6 66 6  6 66 6  6 66 6 66666666666666666666  c."System????????--@Times New Roman--- U2 8?1dMathematical Design: Normal Distribution Practice     2 88d  2 8;d $:2 8_dName___________________________   2 8d  2 F?d @Times New Roman---2 S?[dIQ scores are argued to have a distribution of N(100, 15). Use what you know about normal    L2 a?+ddistribution to answer the questions below. 2 ad  2 o?d ---2 }Qd1.@"Arial--- 2 }Zd ---2 }c dUsing the 68  2 }d-2 }d95 2 }d-12 }d99.7 Rule, determine what_  2 }3d X2 }63dpercent of people would fall between the following h  ,d'2 c dIQ scores:  2 d ,d' 2 ?d @1Courier New--- 2 udo--- 2 |d ---2 d85 and 115 2 d 2 d__________ 2 d ,d' 2 ?d  2 ?d --- 2 udo--- 2 |d ---2 d55 and 145 2 d 2 d__________ 2 d ,d' 2 ?d  2 ?d --- 2 udo--- 2 |d ---2 d55 and 115 2 d 2 d__________ 2 d ,d' 2 ?d  2 ?d --- 2 #udo--- 2 #|d ---2 # d100 and 145 2 #d 2 # d__________ 2 # d ,d' 2 1?d  2 >?d ---2 LQd2.--- 2 LZd ---2 Lc dFind the z 2 Ld-82 Ldscores for the following IQs:   2 L%d ,d' 2 Z?d --- 2 hudo--- 2 h|d ---2 hd124  2 hd 2 h d____________ 2 hd ,d' 2 v?d  2 ?d --- 2 udo--- 2 |d ---2 d76 2 d 2  d____________ 2 d ,d' 2 ?d  2 ?d --- 2 udo--- 2 |d ---2 d130  2 d 2  d___________ 2 d_ 2 d ,d' 2 ?d  2 ?d  2 ?d  2 ?d ---2 Qd3.--- 2 Zd ---2 cdThe Una 2 Rdbomber (Ted Kaczynski) has often been cited as having an IQ of 170. What percent    ,d'y2 cIdof people have the same or a higher IQ? Explain how you determined this.    2 d ,d' 2 ?d  2 )?d  2 7?d  2 E?d  2 S?d  2 `?d  2 n?d ---2 |Qd4.--- 2 |Zd ---2 |cPdForrest Gump was supposed to have an IQ of 75 in the movie. What percent of peo      2 | dple have ,d'^2 c7dthe same or lower IQ? Explain how you determined this.      2 vd ,d' 2 ?d  2 ?d  2 ?d --ddddddccccccccccccccccbbbbbbbbbbbbbbbb՜.+,04 hp  $Howard County Public School System  ,AP Statistics: Normal Distribution Practice Title  !"#$%&'()*+,-./0123456789:;<=?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstvwxyz{|Root Entry F+VrData 1TableNWordDocument4SummaryInformation(>\mDocumentSummaryInformation8uCompObjy  F'Microsoft Office Word 97-2003 Document MSWordDocWord.Document.89q