Additional Mathematics Project Work 2013 (Form 5): Statistics

download Additional Mathematics Project Work 2013 (Form 5): Statistics

of 37

Transcript of Additional Mathematics Project Work 2013 (Form 5): Statistics

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    1/37

    ADDGTGIJAM FATL@FATGBR^XIK@BT SIXO 8>12

    Jaf`; Caj Fgjc Kgajc

    Bmass; 0E

    G)B Ji; 751114&18&57

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    2/37

    Gjtridubtgij

    S` stud`jts taogjc Addgtgijam Fatl`fatgbs ar` r`qugr`d ti barry iut a prik`bt wiro

    wlgm` w` ar` gj Eirf 0* S` ar` ti bifpm`t` ijmy IJ@ taso has`d ij statgstgbs* Tlgs prik`bt baj

    h` dij` gj criups ir gjdgvgduammy- ajd G cmadmy bliis` ti di tlgs gjdgvgduammy* Ppij bifpm`tgij

    ie tl` Addgtgijam Fatl`fatgbs ^rik`bt Siro- w` ar` ti cagj vamuahm` `xp`rg`jb`s ajd ahm` ti;

    Appmy ajd adapt a varg`ty ie prihm`f simvgjc strat`cg`s ti simv` riutgj` ajd jij&riutgj`prihm`fs*

    @xp`rg`jb` bmassriif `jvgrijf`jts wlgbl ar` blamm`jcgjc- gjt`r`stgjc ajd f`ajgjceumajd l`jb` gfpriv` tl`gr tlgjogjc sogmms*

    @xp`rg`jb` bmassriif `jvgrijf`jts wl`r` ojiwm`dc` ajs sogmms ar` appmg`d gjf`ajgjceum ways gj simvgjc r`am&mge` prihm`fs*

    @xp`rg`jb` bmassriif `jvgrijf`jts wl`r` `xpr`ssgjc ij`s fatl`fatgbam tlgjogjc-r`asijgjc ajd biffujgbatgij ar` lgclmy `jbiurac`d ajd `xp`bt`d*

    @xp`rg`jb` bmassriif `jvgrijf`jts tlat stgfumat`s ajd `jlajb`s `ee`btgv` m`arjgjc* Abqugr` `ee`btgv` fatl`fatgbam biffujgbatgij tlriucl iram ajd wrgtgjc- ajd ti us` tl`

    majcuac` ie fatl`fatgbs ti `xpr`ss fatl`fatgbam gd`as birr`btmy ajd pr`bgs`my*

    @jlajb` abqugsgtgij ie fatl`fatgbam ojiwm`dc` ajd sogmms tlriucl prihm`f&simvgjc gjways tlat gjbr`as` gjt`r`st ajd bijegd`jb`*

    ^r`par` iurs`mv`s eir tl` d`fajd ie iur eutur` ujd`rtaogjcs ajd gj wiropmab`* X`amgz` tlat fatl`fatgbs gs aj gfpirtajt ajd piw`reum tiim gj simvgjc r`am&mge` prihm`fs

    ajd l`jb` d`v`mip pisgtgv` attgtud` tiwards fatl`fatgbs*

    Tragj iurs`mv`s jit ijmy ti h` gjd`p`jd`jt m`arj`rs hut amsi ti bimmahirat`- ti biip`rat`-ajd ti slar` ojiwm`dc` gj aj `jcacgjc ajd l`amtly `jvgrijf`jt *

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    3/37

    Ps` t`bljimicy `sp`bgammy tl` GBT appriprgat`my ajd `ee`btgv`my* Tragj iurs`mv`s ti appr`bgat` tl` gjtrgjsgb vamu`s ie fatl`fatgbs ajd ti h`bif` fir`

    br`atgv` ajd gjjivatgv`*

    X`amgz` tl` gfpirtajb` ajd tl` h`auty ie fatl`fatgbs* S` ar` `xp`bt`d ti suhfgt tl`prik`bt wiro wgtlgj tlr`` w``os erif tl` egrst day tl` taso gs h`gjc adfgjgst r`d ti us*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    4/37

    Hrg`e Lgstiry ie Rtatgstgbs

    Hy tl` 1

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    5/37

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    6/37

    Rtatgstgbs tiday

    Durgjc tl` 8>tl b`jtury- tl` br`atgij ie pr`bgs` gjstruf`jts eir acrgbumturam r`s`arbl-

    puhmgb l`amtl bijb`rjs ,`pgd`fgimicy- hgistatgstgbs- `tb*'- gjdustrgam quamgty bijtrim- ajd

    `bijifgb ajd sibgam purpis`s ,uj`fpmiyf`jt rat`- `bijif`try- `tb*' j`b`ssgtat`d suhstajtgam

    advajb`s gj statgstgbam prabtgb`s*

    Tiday tl` us` ie statgstgb las hriad`j`d ear h`yijd gts irgcgj* Gjdgvgduams ajd

    ircajgzatgijs us` statgstgbs ti ujd`rstajd data ajd fao` gjeirf`d d`bgsgijs tlriucliut tl`

    jaturam ajd sibgam sbg`jb`s- f`dgbgj`s- husgj`ss- ajd itl`r ar`a*

    Rtatgstgbs ar` c`j`rammy r`card`d jit as tl` suheg`md ie fatl`fatgbs hut ratl`r as a

    dgstgjbt- ammg`d- eg`md* Fajy ujgv`rsgtg`s fagjtagj s`parat` fatl`fatgbs ajd statgstgb d`partf`jts*

    Rtatgstgb gs amsi tauclt gj d`partf`jt as dgv`rs` as psyblimicy- `dubatgij ajd puhmgb l`amtl*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    7/37

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    8/37

    F`aj

    Tl` f`aj gs wlat gj `v`ryday bijv`rsatgij gs bamm`d tl` av`rac`* Gt gs bambumat`d hysgfpmy

    addgjc tl` vamu`s ie amm tl` vamgd bas`s tic`tl`r ajd dgvgdgjc hy tl` jufh`rie vamgd bas`s*

    Tl` f`aj gs aj gjt`rvam)ratgi f`asur` ie b`jtram t`jd`jby* Gts bambumatgij r`qugr`s

    tlat tl` attrghut`s ie tl` vargahm` r`pr`s`jt a juf`rgb sbam`

    Fid`

    Tl` fid` gs tl` attrghut` ie a vargahm` tlat ibburs fist iet`j gj tl` data s`t*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    9/37

    Eir ujcriup`d data- w` baj egjd fid` hy egjdgjc tl` fidam bmass ajd draw tl` fidam bmass ajd

    twi bmass`s adkab`jt ti tl` fidam bmass* Twi mgj`s erif tl` adkab`jt w` briss`d ti egjd tl`

    gjt`rs`btgij* Tl` gjt`rs`btgij vamu` gs ojiwj as tl` fid`*

    F`dgaj

    Tl` f`dgaj gs a f`asur` ie b`jtram t`jd`jby* Gt gd`jtgeg`s tl` vamu` ie tl` fgddm` bas` wl`j tl`

    bas`s lav` h``j pmab`d gj ird`r ir gj mgj` erif miw ti lgcl* Tl` fgddm` ie tl` mgj` gs as ear erif

    h`gjc `xtr`f` as yiu baj c`t*

    Tl`r` ar` as fajy bas`s gj mgj` gj erijt ie tl` fgddm` bas` as h`lgjd tl` fgddm` bas`* Tl`

    f`dgaj gs tl` attrghut` us`d hy tlat fgddm` bas`* Sl`j yiu ojiw tl` vamu` ie tl` f`dgaj- yiu

    ojiw tlat at m`ast lame tl` bas`s lad tlat vamu` ir a lgcl`r vamu`- wlgm` at m`ast lame tl` bas`s lad

    tlat vamu` ir a miw`r vamu`*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    10/37

    Xajc`

    Tl` dgstajb` h`tw``j tl` fgjgfuf ajd tl` faxgfuf gs bamm`d tl` rajc`* Tl` marc`r tl` vamu` ie

    tl` rajc`- tl` fir` dgsp`rs`d tl` bas`s ar` ij tl` vargahm`? tl` sfamm`r tl` vamu` ie tl` rajc`- tl`

    m`ss dgsp`rs`d ,tl` fir` bijb`jtrat`d' tl` bas`s ar` ij tl` vargahm`

    Xajc` 6 faxgfuf vamu`fgjgfuf vamu`

    Gjt`rquartgm` Xajc`

    Gjt`rquartgm` rajc` ,GQX' gs tl` dgstajb` h`tw``j tl` 30tl p`rb`jtgm` ajd tl` 80tl p`rb`jtgm`* Tl`

    GQX gs `ss`jtgammy tl` rajc` ie tl` fgddm` 0>% ie tl` data* H`baus` gt us`s tl` fgddm` 0>%- tl`

    GQX gs jit aee`bt`d hy iutmg`rs ir `xtr`f` vamu`s*

    GQX 6 Rtajdard D`vgatgij

    Tl` stajdard d`vgatgij t`mms yiu tl` apprixgfat` av`rac` dgstajb` ie bas`s erif tl` f`aj* Tlgs

    gs `asg`r ti bifpr`l`jd tlaj tl` squar`d dgstajb` ie bas`s erif tl` f`aj* Tl` stajdard d`vgatgij

    gs dgr`btmy r`mat`d ti tl` vargajb`*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    11/37

    Ge yiu ojiw tl` vamu` ie tl` vargajb`- yiu baj `asgmy egcur` iut tl` vamu` ie tl` stajdard

    d`vgatgij* Tl` r`v`rs` gs amsi tru`* Ge yiu ojiw tl` vamu` ie tl` stajdard d`vgatgij- yiu baj

    `asgmy bambumat` tl` vamu` ie tl` vargajb`* Tl` stajdard d`vgatgij gs tl` squar` riit ie tl`

    vargajb`*

    ,h' Eir `abl typ` ie f`asur` ie b`jtram t`jd`jby stat`d gj ,a'- cgv` `xafpm`s ie tl`gr us`s gj

    dagmy mge`*

    Ps`s ie f`aj

    F`aj baj h` us`d ti s`` tl` av`rac` faro ie tl` bmass ihtagj`d* Tlgs av`rac` l`mps ti s`` liw

    fajy stud`jts ar` ahiv` av`rac`- liw fajy ar` av`rac` stud`jts ajd liw fajy ar` h`miw

    av`rac`s* Tl` t`abl`r trg`s ti l`mp tl` av`rac` ajd h`miw av`rac` stud`jts ti sbir` fir` crad`s

    gj eutur`* Gj a eabtiry- tl` f`aj ie tl` wac`s l`mps tl` autlirgtg`s ti ojiw ge tl` wiro`rs# w`mear`

    gs fagjtagj`d* Gt amsi l`mps ti bifpar` tl` samarg`s ie tl` `fpmiy``s ie tl` dgee`r`jt bifpajg`s*

    Gj sam`s- tl` av`rac` sam`s gj tl` dgstrgbt l`mp tl` sam`s fajac`r ti pmaj eir gjbr`asgjc tl` sam`s gj

    tl` eutur`* Tl` civ`rjf`jt tao`s tl` av`rac` gjbif` ajd `xp`js` ie tl` bgtgz`js ti ojiw

    wl`tl`r tl` bgtgz`js rgclts ar` fagjtagj`d* Tl` eafgmy egjds tl` av`rac` ie tl`gr `xp`js`s ti

    hamajb` tl`gr egjajb`* Tl` av`rac` pridubtgij ie acrgbumturam biffidgtg`s- tl` gjdustrgam ciids-

    tl` av`rac` xpirts ajd gfpirts l`mp tl` biujtry ti s`` tl`gr d`v`mipf`jts*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    12/37

    Ps`s ie f`dgaj

    F`dgaj gs tl` fgddm` vamu`* Gt l`mps us ti s`` hitl tl` sgd`s ie tl` fgddm` vamu`* Gt dgvgd`s tl`

    gjeirfatgij gjti twi `quam parts- ij` part m`ss`r tlaj f`dgaj ajd tl` itl`r fir` tlaj tl`

    f`dgaj* F`dgaj gs bambumat`d aet`r arrajcgjc tl` gjeirfatgij gj asb`jdgjc ird`r ir d`sb`jdgjc

    ird`r* F`dgaj gs us`d ti egjd tl` stud`jts wli sbir`s m`ss ir fir` tlaj tl` fgddm` vamu`*

    F`dgaj gs bambumat`d ti egjd tl` dgstrghutgij ie tl` wac`s* Gt gs bambumat`d ti egjd tl` l`gclt ie tl`

    pmay`rs- gj tl` pigjts sbir`d hy pmay`rs gj a s`rg`s ie fatbl`s- ti egjd tl` fgddm` vamu` ie tl`

    ac`s ie tl` stud`jts gj a bmass `tb* F`dgaj amsi d`t`rfgj`s tl` piv`rty mgj`*

    Ps`s ie fid`

    Gt gs us`d ti bambumat` tl` er`qu`jby ie tl` arrgvam ie tl` puhmgb trajspirt- tl` er`qu`jby ie tl`

    caf`s wij hy a t`af ie pmay`rs- tl` er`qu`jby ie tl` j``ds ie aj gjeajt* Tl` fid` gs amsi s``j

    gj bambumatgij ie tl` wac`s- gj tl` jufh`r ie t`m`plij` bamms r`b`gv`d gj a fgjut` hy tl`

    t`m`plij` d`partf`jt- tl` er`qu`jby ie tl` vgsgtirs- tl` er`qu`jby ie tl` patg`jts vgsgtgjc tl`

    lispgtams- tl` fid` ie trav`m `tb*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    13/37

    ^AXT 8

    1* C`t yiur bmass faros ie ajy suhk`bt gj ij` `xafgjatgij)t`st* Attabl tl` faro sl``t*Faro sl``t ie 0Es ^lysgbs `xafgjatgij

    1* Adrg`m Mg Blg Tao 33

    8* Amaj Adaf Owaj 51

    2* Hryaj Madgsmaus 05

    4* Bl`jc Oajc Ogaj 47

    0* Blgj ^gj Quaj 03

    5* Blujc Bg Fgjc 01

    3* @dwgj Mau Oio Uug 5>

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    14/37

    27* Jur Ryalgdal hgjtg Ahdum Xaslgd 47

    4>* Jur Ryalgral hgjtg Ahdum Xaslgd 42

    41* Jur Ryaqgra Lajajg` hgjtg [agjam 23

    48* ^ajc Waj 00

    42* Xilajg Arpa 0>

    44* Rammy Mag Lu`y Mgj 3140* Rlargeal Fargajg Lahgh Lafgd 45

    45* Rl``ja Mg`w S`g Rluaj 53

    43* Rl`mm` Taj Bl`w Mgjc 52

    Titam , ' 8 554

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    15/37

    8* ,a' F`aj

    ,h' F`dgaj

    , ' F`dgaj faro6 007

    Fid` 6 03*0

    , '

    , '

    ,' 6 03*0

    >

    8

    4

    5

    18

    1> 17 8> 87 2> 27 4> 47 0> 07 5> & 57 3> &37 & 77

    Er`qu`jby

    Bmass Faros

    0E stud`jts# faros eir ^lysgbs @xafgjatgij

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    18/37

    ,ggg' F`dgaj

    F`tlid 1; F`dgaj eirfuma

    F`dgaj faro 6 03*82

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    19/37

    >

    0

    1>

    10

    8>

    80

    2>

    20

    4>

    40

    0>

    > 8> 4> 5> 1>> 18>

    Bufumatgv`Er`qu`jby

    Bmass Faros

    F`tlid 8; Icgv` Crapl

    0E stud`jts faros eir ^lysgbs @xafgjatgij

    F`dgaj faro has`d ij tl` icgv` crapl 6 0

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    20/37

    ,gv' Rtajdard d`vgatgij

    F`tlid 1; Rtajdard d`vgatgij eirfuma

    F`tlid 8; Bambumatir

    1* Bmgbo ij tl` FID@ huttij twgb`* ^r`ss huttij 1 ti bliis` RD* Tlgs puts tl`bambumatir gj Rtatgstgbs Fid`*

    8* O`y gj tl` egrst data- x- wlgbl gs 4*0 gjti tl` bambumatir* ^r`ss tl` RLGET huttij- ajdeimmiws hy tl` - huttij*

    2* Aet`r tlat- o`y gj tl` er`qu`jby ie tl` data 4*0- wlgbl gs >*4* ^r`ss tl` F/ huttij*0* O`y gj tl` r`st ie tl` data hy r`p`atgjc st`ps 8- 2 ajd 4*5* Aet`r o`ygjc gj amm tl` data- pr`ss RLGET huttij acagj*3* ^r`ss huttij 8**Tl` ajsw`r sliw`d ij tl` bambumatir gs 13*2>*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    21/37

    ,v' Gjt`rquartgm` Xajc`

    F`tlid 1; Gjt`rquartgm` Xajc` Eirfuma

    GQX 6 GQX 6

    6 81*25

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    22/37

    >

    0

    1>

    10

    8>

    80

    2>

    20

    4>

    40

    0>

    > 8> 4> 5> 1>> 18>

    Bufumatgv`Er`qu`j

    by

    Bmass Faros

    F`tlid 8; Icgv` Crapl

    0E stud`jts faros eir ^lysgbs @xafgjatgij

    Has`d ij tl` icgv` crapl-

    GQX 6

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    23/37

    ,h' Has`d ij yiur ajsw`rs erif 2,a' ahiv`- stat` tl` fist appriprgat` f`asur` ie b`jtram

    t`jd`jby tlat r`em`bt tl` p`reirfajb` ie yiur bmass* Cgv` yiur r`asijs*

    Has`d ij fy ajsw`rs erif 2,a'- tl` f`aj gs a fir` sugtahm` f`asur` ie b`jtram t`jd`jby

    h`baus` gt r`em`bts tl` b`jtram vamu` ariujd wlgbl tl` data s``fs ti bmust`r* Tl` fid` gs

    jit sugtahm` h`baus` tl` data di`s jit s``f ti bmust`r ahiut fid`* Tl` f`dgaj gs amsi jit

    tlat sugtahm` as gt ijmy sliws tl` fgddm` vamu` ie tl` wlim` data*

    ,b' F`asur` ie dgsp`rsgij gs a f`asur`f`jt us`d ti d`t`rfgj` liw ear tl` vamu`s ie data

    ar` spr`ad iut erif gts av`rac` vamu`*

    @xpmagj tl` advajtac`s ie usgjc stajdard d`vgatgij bifpar`d ti gjt`rquartgm` rajc` as tl`

    h`tt`r f`asur` ie dgsp`rsgij

    Rtajdard d`vgatgij ,RD' gs tl` fist biffijmy us`d f`asur` ie dgsp`rsgij* Gt gs a

    f`asur` ie spr`ad ie data ahiut tl` f`aj* RD gs tl` squar` riit ie suf ie squar`d

    d`vgatgij erif tl` f`aj dgvgd`d hy tl` jufh`r ie ihs`rvatgijs*

    Gj hitl tl`s` eirfumas j & 1 gs us`d gjst`ad ie j gj tl` d`jifgjatir- as tlgs pridub`s a

    fir` abburat` `stgfat` ie pipumatgij RD*

    Tl` r`asij wly RD gs a v`ry us`eum f`asur` ie dgsp`rsgij gs tlat- ge tl` ihs`rvatgijs ar`

    erif a jirfam dgstrghutgij- tl`j 5

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    24/37

    ihs`rvatgijs mg` h`tw``j f`aj 8 RD ajd 77*3% ie ihs`rvatgijs mg` h`tw``j f`aj 2

    RD

    Tl` itl`r advajtac` ie RD gs tlat amijc wgtl f`aj gt baj h` us`d ti d`t`bt so`wj`ss*

    Gjt`rquartgm` rajc` gs d`egj`d as tl` dgee`r`jb` h`tw``j tl` 80tl

    ajd 30tl

    p`rb`jtgm` ,amsi

    bamm`d tl` egrst ajd tlgrd quartgm`'* L`jb` tl` gjt`rquartgm` rajc` d`sbrgh`s tl` fgddm` 0>%

    ie ihs`rvatgijs* Ge tl` gjt`rquartgm` rajc` gs marc` gt f`ajs tlat tl` fgddm` 0>% ie

    ihs`rvatgijs ar` spab`d wgd` apart*

    Tl` fagj dgsadvajtac` gj usgjc gjt`rquartgm` rajc` as a f`asur` ie dgsp`rsgij gs tlat gt gs

    jit af`jahm` ti fatl`fatgbam fajgpumatgij*

    Tl` stajdard d`vgatgij cgv`s a f`asur` ie dgsp`rsgij ie tl` data ahiut tl` f`aj* A dgr`bt

    ajamicy wiumd h` tlat ie tl` gjt`rquartgm` rajc`- wlgbl cgv`s a f`asur` ie dgsp`rsgij

    ahiut tl` f`dgaj* Liw`v`r- tl` stajdard d`vgatgij gs c`j`rammy fir` us`eum tlaj tl`

    gjt`rquartgm` rajc` as gt gjbmud`s amm data gj gts bambumatgij* Tl` gjt`rquartgm` rajc` gs

    titammy d`p`jd`jt ij kust twi vamu`s ajd gcjir`s amm tl` itl`r ihs`rvatgijs gj tl` data*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    25/37

    Tlgs r`dub`s tl` abburaby gt `xtr`f` vamu` gs pr`s`jt gj tl` data* Rgjb` tl` faros di`s

    jit bijtagj ajy `xtr`f` vamu`- stajdard d`vgatgij cgv` a h`tt`r f`asur`s bifpar`d ti

    gjt`rquartgm` rajc`*

    4* ,a' S` baj bambumat` f`aj- f`dgaj- fid` ajd stajdard d`vgatgijs usgjc hitl criup`d

    ajd ujcriup`d data* Liw`v`r- tl`r` ar` stgmm dgee`r`jb`s h`tw``j tl` ajsw`r ie tl`

    bambumatgij* Eir aj `xafpm`- tl` egjam ajsw`r ie tl` f`aj gj ujcriup`d data gs 05*5* Hitl ie tl` ajsw`rs dgee`r wgtl a

    vamu` ie >*4

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    26/37

    Egrst- eir `xafpm`- wl`j pr`s`jtgjc a marc` s`rg`s ie data- gt gs fir` pr`e`rahm` ti us`

    criup`d data as criup`d data gs w`mm arrajc`d ajd gt gs `asg`r eir us ti ihs`rv`* M`ss

    tgf` ajd `j`rcy wgmm h` j``d`d gj biujtgjc tl` data `abl ti bambumat` f`aj-

    f`dgaj- fid` ajd stajdard d`vgatgij ie tl` data*

    Liw`v`r- gt gs fir` pr`e`rahm` ti us` ujcriup`d data wlgm` egjdgjc r`sumts durgjc aj

    gjv`stgcatgij* Tlgs gs h`baus` amm tl` data ar` us`d hut jit gj criup`d data* Tlus- gt wgmm

    cgv` a fir` abburat` r`sumt*

    Mastmy- criup`d data gs amsi fir` pr`e`rahm` durgjc bmassgegbatgij- d`t`rfgjgjc

    rajc` ajd fistmy wl`j tl` jufh`r ie data gs egx`d* Ge tl` jufh`r ie data gs egx`d ir gt

    bijtagjs aj `xtr`f` vamu` wlgbl gt gs lard ti h` criup`d- gt gs h`tt`r ti us` aj ujcriup`d

    data*

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    27/37

    ^AXT 2

    1* Wiur t`abl`r wgmm add 2 faros eir `abl stud`jt gj yiur bmass eir bifpm`tgjc amm tl`gr

    assgcjf`jts* Fao` a bijk`btur` eir tl` j`w vamu`s ie tl` eimmiwgjc;

    ,a' F`aj

    J`w f`aj 6 05*8> / 2

    6 07*8>

    A H B D 1 4*0 3*0 > >

    8 14*0 13*0 8 20

    2 84*0 83*0 1 83*0

    4 24*0 23*0 0 1 530

    < 34*0 33*0 3 048*0

    7 74*0 73*0 > > 43 8 3

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    28/37

    ,h' Fid`

    Fid` 6 03*0

    J`w fid` 6 03*0/2

    6 5>*0

    Bmass Gjt`rvams ,Faros' Er`qu`jby-218 >

    1288 8

    8228 1

    2248 0

    4208 3

    0258 11

    52 & 38 1>

    3> &37 3

    & 77 >

    ,

    '

    J`w fid`

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    29/37

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    30/37

    F`tlid 8; Icgv` Crapl

    0E stud`jts faros eir ^lysgbs @xafgjatgij

    F`dgaj faros has`d ij tl` icgv` crapl 6 5>*2

    >

    0

    1>

    10

    8>

    80

    2>

    20

    4>

    40

    0>

    > 8> 4> 5> 1>>

    Bufumatgv`

    Er`

    qu`jby

    Bmass Faros

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    31/37

    ,d' Gjt`rquartgm` Xajc`

    GQX 6 81*25

    F`tlid 1; Gjt`rquartgm` Xajc` Eirfuma

    GQX 6 GQX 6

    6 81*25

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    32/37

    >

    0

    1>

    10

    8>

    80

    2>

    20

    4>

    40

    0>

    > 8> 4> 5> 1>>

    Bufumatgv`

    Er`qu

    `jby

    Bmass Faros

    F`tlid 8; Icgv` Crapl

    0E stud`jts faros eir ^lysgbs @xafgjatgij

    Has`d ij tl` icgv` crapl-

    GQX 6

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    33/37

    ,`' Rtajdard d`vgatgij

    Bmass Gjt`rvam ,Faros' Fgdpigjt- Er`qu`jby- 2 18 3*0 > > >12 88 13*0 8 20 518*0

    82 28 83*0 1 83*0 305*80

    22 48 23*0 0 121*80

    42 08 43*0 3 228*0 10 372*30

    02 58 03*0 11 528*0 25 25 530 40 058*0

    32 42*30

    580

    72 1>8 73*0 > > >

    Titam 470 43 8 3

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    34/37

    8* A j`w stud`jt las kust `jrimm`d gj yiur bmass* Tl` stud`jt sbir`d 73% gj lgs)l`r eirf`r

    sbliim* Ge tl` stud`jts faro gs tao`j gjti abbiujt gj tl` ajamysgs ie yiur sbliim `xafgjatgij

    ir t`st- bambumat` tl` f`aj ajd tl` j`w stajdard d`vgatgij*

    J`w F`aj 6 5>*>>

    Bmass Gjt`rvam ,Faros' Fgdpigjt- Er`qu`jby- 2 18 3*0 > > >12 88 13*0 8 20 518*0

    82 28 83*0 1 83*0 305*80

    22 48 23*0 0 121*80

    42 08 43*0 3 228*0 10 372*30

    02 58 03*0 11 528*0 25 25 530 40 058*0

    32 42*30

    580

    72 1>8 73*0 1 73*0 7 0>5*80

    Titam 470 4< 8

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    35/37

    J`w stajdard d`vgatgij 6 13*73>

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    36/37

    Eurtl`r @xpmiratgij

    1* Tl` tip 8>% ie tl` stud`jts gj yiur bmass wgmm h` award`d hy tl` suhk`bt t`abl`r*Bambumat` tl` miw`st faro eir tlgs criup ie stud`jts hy usgjc craplgbam ajd bambumatgij

    f`tlids*

    Bambumatgij;

    stud`jts4 stud`jts 6 2< stud`jts

    , ' , ' 1

  • 7/23/2019 Additional Mathematics Project Work 2013 (Form 5): Statistics

    37/37

    Craplgbam f`tlid;

    0E stud`jts faros eir ^lysgbs @xafgjatgij

    Fgjgjuf faro ti h` award`d has`d ij tl` icgv` 6 38

    >

    1>

    8>

    2>

    4>

    0>

    5>

    > 8> 4> 5> 1>> 18>

    Bufumatgv`Er`qu`jby

    Bmass Faros