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Fmkwbg <Fmkwbg <Fmkwbg <Fmkwbg <Bglh`hi {eg Clt`dt Bglh`hi {eg Clt`dt Bglh`hi {eg Clt`dt Bglh`hi {eg Clt`dt mn Fwt`d" Ls{t lhk mn Fwt`d" Ls{t lhk mn Fwt`d" Ls{t lhk mn Fwt`d" Ls{t lhk Qept`dlb Gkwdl{`mh 4 Qept`dlb Gkwdl{`mh 4 Qept`dlb Gkwdl{`mh 4 Qept`dlb Gkwdl{`mh 4
TEGSPB S( FMSLBGT" FGF
GBB@HMS NWL&IGSMH@FM" KGF" DQL
Islkg 4 Islkg 4 Islkg 4 Islkg 4
LHIGB OMEH @H[GISL[GK LDLKGFP
― L ymsbk&dbltt ldlkgfg nms clt`d gkwdl{`mh‐ 95<&K Csip( Blbljelh" T{l( Fls`l" Cwbldlh
G&fl`b Lkksgtt? gkw(lo`lAplemm(dmf
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Bgttmht Bgttmht Bgttmht Bgttmht Qlig Qlig Qlig Qlig
Bgttmh <Bgttmh <Bgttmh <Bgttmh < B`t{gh`hi {m Tmwhkt B`t{gh`hi {m Tmwhkt B`t{gh`hi {m Tmwhkt B`t{gh`hi {m Tmwhkt 4 44 4 Bgttmh 3Bgttmh 3Bgttmh 3Bgttmh 3 Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ 5 55 5 Bgttmh 4 Bgttmh 4 Bgttmh 4 Bgttmh 4 Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt <4 <4 <4 <4 Bgttmh ; Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bgttmh ; Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bgttmh ; Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bgttmh ; Bglsh`hi Lcmw{ Fwt`dlb Sgt{t <0 <0 <0 <0 Bgttmh 7 T{ls{`hi Mcogd{t y`{e B`hgt Bgttmh 7 T{ls{`hi Mcogd{t y`{e B`hgt Bgttmh 7 T{ls{`hi Mcogd{t y`{e B`hgt Bgttmh 7 T{ls{`hi Mcogd{t y`{e B`hgt 3; 3; 3; 3; Bgttmh > Nmsf`hi Telqgt lhk Kgt`iht Bgttmh > Nmsf`hi Telqgt lhk Kgt`iht Bgttmh > Nmsf`hi Telqgt lhk Kgt`iht Bgttmh > Nmsf`hi Telqgt lhk Kgt`iht 4< 4< 4< 4<
Bgttmh 9 Bgttmh 9 Bgttmh 9 Bgttmh 9 Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst 49 49 49 49 Bgttmh 5 F`u`hi fmsg Dmbmst Bgttmh 5 F`u`hi fmsg Dmbmst Bgttmh 5 F`u`hi fmsg Dmbmst Bgttmh 5 F`u`hi fmsg Dmbmst ;; ;; ;; ;; Bgttmh 0 Bgttmh 0 Bgttmh 0 Bgttmh 0 Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg 71 71 71 71
Fmkwbg Dmh{gh{ Fmkwbg Dmh{gh{ Fmkwbg Dmh{gh{ Fmkwbg Dmh{gh{
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‒Lsg Pmw Tbggq`hi‖‒Lsg Pmw Tbggq`hi‖‒Lsg Pmw Tbggq`hi‖‒Lsg Pmw Tbggq`hi‖
Lsg pmw tbggq`hi" Lsg pmw tbggq`hi" Lsg pmw tbggq`hi" Lsg pmw tbggq`hi"
Lsg pmw tbggq`hi Lsg pmw tbggq`hi Lsg pmw tbggq`hi Lsg pmw tbggq`hi
Csm{egs Omeh" csm{egs Omeh Csm{egs Omeh" csm{egs Omeh Csm{egs Omeh" csm{egs Omeh Csm{egs Omeh" csm{egs Omeh
Fmsh`hi cgbbt lsg s`hi`hi Fmsh`hi cgbbt lsg s`hi`hi Fmsh`hi cgbbt lsg s`hi`hi Fmsh`hi cgbbt lsg s`hi`hi
Fmsh`hi cgbb lsg s`hi`hi Fmsh`hi cgbb lsg s`hi`hi Fmsh`hi cgbb lsg s`hi`hi Fmsh`hi cgbb lsg s`hi`hi
K`hi kmhi k`hi K`hi kmhi k`hi K`hi kmhi k`hi K`hi kmhi k`hi
K`hi kmhi k`hi K`hi kmhi k`hi K`hi kmhi k`hi K`hi kmhi k`hi
B`t{gh`hi {m Tmwhk(B`t{gh`hi {m Tmwhk(B`t{gh`hi {m Tmwhk(B`t{gh`hi {m Tmwhk(Bgttmh <Bgttmh <Bgttmh <Bgttmh <(
4
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh <" pmw temwbk el~g? l( `kgh{`n`gk {e`hit {el{ qsmkwdgk tmwhk(c( dl{gims`zgk tmwsdgt mn tmwhk eglsk(d( lqqsgd`l{gk mhg‐t ~m`dg lt pmw tlhi lbmhi y`{e dblttfl{gt(―k( ~lbwgk ismwq dmmqgsl{`mh mh l qgsnmsfgk ismwq ilfg(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Yl{de lhk b`t{gh {eg fwt`d ~`kgm {el{ pmws {gldegs y`bb qblp(
Pmw dlh t`hi lbmhi y`{e {eg tmhi lhk fm~g pmws cmkp ye`bg b`t{gh`hi(
K`k pmw ghompgk b`t{gh`hi {m {eg tmhi= Lil`h" yel{ pmw el~g eglsk `t l tmhi( L tmhi tmhi tmhi tmhi `t flkg wq mn tmwhk ql{{gsht( Tmwhk Tmwhk Tmwhk Tmwhk `t lhp{e`hi {el{ yg egls wt`hi mws tghtg mn egls`hi‛{eg gls(
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@h {eg tmhi ‒Lsg pmw tbggq`hi‖" Ys`{g kmyh {eg tmwhk lhk yem
fljgt {eg tmwhk(Gu( Tmwhk mn? Thms`hi Yem? Csm{egs Omeh
Tmwhk mn…Tmwhk mn…Tmwhk mn…Tmwhk mn… Yem…Yem…Yem…Yem…
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Tmwhkt dlh cg eglsk g~gspyegsg & l{ emfg" `h tdemmb" `h
{eg qlsj" `h {eg t{sgg{ lhk `h flhp m{egs qbldgt( Qgmqbg lhk lh`flbt lbtm fljg {eg`s myh tmwhkt( Dbltt`np cgbmy {eg tmwsdgt mn tmwhkt lhk qw{ {egf `h {eg`s qsmqgs cmugt(
Kmi Sl`h L`sqblhg Dbmdj
Emstg [ewhkgs [gbgqemhg Cml{
C`sk Yl~gt [sl`h Slk`m
Dmy Dls Y`hk Kmmscgbb
Ld{`~`{p <( <Ld{`~`{p <( <Ld{`~`{p <( <Ld{`~`{p <( <
;
Ld{`~`{p <( 3Ld{`~`{p <( 3Ld{`~`{p <( 3Ld{`~`{p <( 3
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Tmwsdgt mn Tmwhk? Tmwsdgt mn Tmwhk? Tmwsdgt mn Tmwhk? Tmwsdgt mn Tmwhk? L( Hl{wsg C( Mcogd{t
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D( Lh`flbt K( [slhtqms{l{`mh
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K`k pmw `kgh{`np glde mn {eg tmwhk dmssgd{bp= Tmwhkt lsg qsmkwdgk k`nngsgh{bp( Qsmkwd`hi k`nngsgh{ tmwhk egbqt pmw `kgh{`np `{t
tmwsdg lhk yel{ fljgt {eg tmwhkt(
Tmwhkt lsg lbtm eglsk k`nngsgh{bp cgdlwtg mn `{t tmn{ lhk bmwk ~mbwfg( Dlh pmw `kgh{`np bmwk lhk tmn{ tmwhkt=
7
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Lsg pmw ghomp`hi bglsh`hi lcmw{ tmwhkt= Hmy" pmws {gldegs
y`bb qblp lhm{egs ~`kgm lcmw{ lh`flb tmwhkt( @kgh{`np {eg tmwhk glde lh`flb qsmkwdgk(
Lh`flb Lh`flb Lh`flb Lh`flb Tmwhk Tmwhk Tmwhk Tmwhk <( Kmi ]]]]]]]]]]]]]]]]]]]]]
3( Dmy ]]]]]]]]]]]]]]]]]]]]] 4( Kwdj ]]]]]]]]]]]]]]]]]]]]]
;( Myb ]]]]]]]]]]]]]]]]]]]]]7( Dl{ ]]]]]]]]]]]]]]]]]]]]]>( C`sk ]]]]]]]]]]]]]]]]]]]]]9( Q`i ]]]]]]]]]]]]]]]]]]]]]
5( Fmwtg ]]]]]]]]]]]]]]]]]]]]]0( Emstg ]]]]]]]]]]]]]]]]]]]]]<1( Teggq ]]]]]]]]]]]]]]]]]]]]]
<<( Slcc`{ ]]]]]]]]]]]]]]]]]]]]]<3(Qgmqbg ]]]]]]]]]]]]]]]]]]]]]<4( Thljg ]]]]]]]]]]]]]]]]]]]]]<;( De`djgh ]]]]]]]]]]]]]]]]]]]]]<7( Nsmi ]]]]]]]]]]]]]]]]]]]]]<>( Cggt ]]]]]]]]]]]]]]]]]]]]]<9( Kmhjgp ]]]]]]]]]]]]]]]]]]]]]
<5( Gbgqelh{ ]]]]]]]]]]]]]]]]]]]]]<0( Cgls ]]]]]]]]]]]]]]]]]]]]]
31(B`mh ]]]]]]]]]]]]]]]]]]]]]
Ld{`~`{p <( 4 Ld{`~`{p <( 4 Ld{`~`{p <( 4 Ld{`~`{p <( 4
>
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Fl{de {eg q`d{wsgt {m {eg`s dmssgd{ tmwhkt( Ys`{g {eg bg{{gs mn
{eg dmssgd{ lhtygs mh {eg cblhj qsm~`kgk cgnmsg glde hwfcgs(
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9
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
L( S`cc`{(((s`cc`{…(
C( Qss`{{…qss`{{{(((
D( K`hi(((kmhi(((
K( Js`hhii…(js`hhii(((
G( Ewewe(((ewe((ewe(((
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Tmwhkt dlh cg eglsk g~gspyegsg( Mws glst egbq wt egls {eg tmwhk `h
mws gh~`smhfgh{( [lj`hi immk dlsg mn mws tghtg mn egls`hi twsgbp fljgt mws b`ng fmsg nwh lhk gud`{`hi(
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Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ Nggb`hi {eg Fwt`d Cgl{ Bgttmh 3Bgttmh 3Bgttmh 3Bgttmh 3
5
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 3" pmw temwbk el~g? l( flkg k`t{`hd{`mh cg{yggh hm`tg lhk fwt`d(c( bglshgk {el{ fwt`d `t wtgk `h k`nngsgh{ ylpt(d( ~lbwgk fwt`d lhk `{t fglh`hi(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Yl{de lhk b`t{gh {m {eg fwt`d ~`kgm gh{`{bgk ―@ b`jg {eg Nbmygst‖(
Pmw dlh t`hi lbmhi {mig{egs y`{e pmws {gldegs lhk dblttfl{gt lt pmw lbb b`t{gh {m {eg fwt`d(
‒@ b`jg {eg Nbmygst‖
@ b`jg {eg nbmygst" @ b`jg {eg klnnmk`bt
@ b`jg {eg fmwh{l`ht @ b`jg {eg smbb`hi e`bbt
@ b`jg {eg dlfq t`{g yegh {eg b`ie{t lsg imhg Cmmf {`plsl" cmmf {`plsl" cmmf {`plsl" cmmf {`plsl %3u)
[gbb tmfg{e`hi lcmw{ {eg tmhi pmw b`t{ghgk {m( Yel{ tmwhk kmgt `{ fljg= @t `{ l qbglt`hi tmwhk ms lh `ss`{l{`hi hm`tg=
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[eg tmhi ―@ b`jg {eg nbmygs‐ `t l {pqg mn tmwhk dlbbgk fwt`d(fwt`d(fwt`d(fwt`d(Fwt`d `t msilh`zgk tmwhkt( @h fwt`d" {eg tmwhkt lsg qw{ {mig{egs {m nmsf qbgltlh{ tmwhk( Qbgltlh{ tmwhk fglht `{ `t ghomplcbg {m
b`t{gh l{ lhk pmw b`jg egls`hi `{ m~gs lhk m~gs lil`h( Mh {eg m{egs elhk" hm`tg hm`tg hm`tg hm`tg `t whqbgltlh{ lhk qsmkwdgt lh `ss`{l{`hi
tmwhk(
Degdj % ∟ ) {eg q`d{wsgt {el{ qsmkwdgk qbgltlh{ tmwhk(
0
Ld{`~`{p 3(<Ld{`~`{p 3(<Ld{`~`{p 3(<Ld{`~`{p 3(<
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B`t{gh`hi {m k`nngsgh{ j`hkt mn fwt`d i`~gt wt k`nngsgh{
nggb`hit lt ygbb( Fwt`d lbtm elt k`nngsgh{ fglh`hit( [eg bps`dt ms ymskt mn {eg tmhi i`~g wt lh `kgl mn yel{ `{`t lbb lcmw{( @h {eg tmhi ‒@ b`jg {eg Nbmygs‖" yel{ km pmw {e`hj `t {eg {egfg ms {eg fl`h `kgl mn {eg tmhi=
Ys`{g l{ bglt{ {esgg %4)tgh{ghdgt {gbb`hi yel{ {eg tmhi `t lbb lcmw{( Pmw dlh lil`h b`t{gh {m {eg tmhi {m egbq pmw ys`{g pmws `kgl(
[eg tmhi ‒@ B`jg {eg Nbmygs‖ tlpt
lcmw{ ]]]]]]]]]]]]]]]]]]]
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Ld{`~`{p 3(4 Ld{`~`{p 3(4 Ld{`~`{p 3(4 Ld{`~`{p 3(4
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L( Fl{de {eg tmwhk {m {eg qbldg yegsg `{ dlh cg eglsk( Ys`{g {eg
bg{{gs mn {eg dmssgd{ lhtygs mh {eg cblhj qsm~`kgk cgnmsg glde hwfcgs(
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<3
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Fwt`d `t l tmwhk {el{ `t qbgltlh{ {m egls( Lt`kg nsmf b`t{gh`hi {m
fwt`d" fwt`dlb tmwhkt el~g flhp `fqms{lh{ wtgt {m qgmqbg(
C( Nmsgt{
L( Cltjg{clbb dmws{
D( Dmhdgs{ elbb
K( T{sgg{
G( Dewsde
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Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bglsh`hi Lcmw{ Fwt`dlb Hm{gt Bgttmh 4 Bgttmh 4 Bgttmh 4 Bgttmh 4
<4
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 4" pmw temwbk el~g? l( sgdmih`zgk {eg k`nngsgh{ fwt`dlb hm{gt(c( kslyh {eg k`nngsgh{ fwt`dlb hm{gt d( `kgh{`n`gk {eg hwfcgs mn cgl{t sgdg`~gk cp glde hm{g(― k( kg~gbmqgk ql{`ghdg `h `h{gsqsg{`hi fwt`dlb hm{gt(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Yl{de lhk b`t{gh {m {eg fwt`d ~`kgm ‒ C@HIM‖([m fljg `{ fmsg
nwh lhk ghomplcbg" nmsf l ismwq mn n`~g ye`de sgqsgtgh{t {eg bg{{gst&C" @ " H" I lhk M( Pmw y`bb temw{ {eg bg{{gs mn pmws ismwq mhdg pmw egls `{ `h {eg tmhi( [egh dblq mhdg pmw tgg `{‐t pmws ismwq‐t
{wsh {m dblq( Owt{ qblp {eg ilfg t`f`bls {m {eg fwt`d ~`kgm( [eg bg{{gs ismwq ye`de y`bb hm{ el~g lhp f`t{ljg y`ht, Mn dmwstg" {eg y`hh`hi ismwq y`bb cg i`~gh gu{sl qm`h{t,
‒C&@&H&I&M‖
[egsg ylt l nlsfgs elk l kmi
Lhk C`him ylt e`t hlfg —me
C&@&H&I&M" C&@&H&I&M" C&@&H&I&M lhk
C`him ylt e`t hlfg&me,
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<;
Hmy" bmmj l{ {eg fwt`dlb hm{gt mn {eg tmhi( Dlh pmw tgg {eg tpfcmbt wtgk `h {eg tmhi= [egtg lsg dlbbgk hm{gt(hm{gt(hm{gt(hm{gt( Hm{gt lsg {eg clt`d fwt`dlb tpfcmbt( @{ sgqsgtgh{t {eg ~lsp`hi kwsl{`mh lhk q {̀de
mn tmwhkt( Bg{‐t ig{ {m jhmy {egtg fwt`dlb hm{gt(
<( L yembg hm{g yembg hm{g yembg hm{g yembg hm{g % ) sgdg`~gt {eg fmt{ cgl{ ms elt {eg bmhigt{ tmwhk kwsl{`mh y`{e nmws %;) cgl{t(
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Ld{`~`{p 4(<Ld{`~`{p 4(<Ld{`~`{p 4(<Ld{`~`{p 4(<Hm{gt lsg {eg clt`d fwt`dlb tpfcmbt ye`de sgqsgtgh{ {eg
~lsp`hi kwsl{`mh lhk q`{de mn tmwhkt( N`bb `h {eg hlfgt lhk hwfcgs mn cgl{t hggkgk cp glde fwt`dlb hm{gt(
Dmwh{ {eg {`fg ~lbwg mn glde tg{ mn hm{gt( Ksly {eg hm{g ~lbwg mh {eg b`hgt(
<( * 6 ]]]]]]]]]]]]]
3( * 6 ]]]]]]]]]]]]]
4( * 6 ]]]]]]]]]]]]]
<>
Hm{gt Hlfgt [`fg l̂bwgt
Ld{`~`{p 4( 3Ld{`~`{p 4( 3Ld{`~`{p 4( 3Ld{`~`{p 4( 3
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Ld{`~`{p 4( 4 Ld{`~`{p 4( 4 Ld{`~`{p 4( 4 Ld{`~`{p 4( 4
Dmwh{ {eg {`fg ~lbwg mn glde tg{ mn hm{gt( Ksly {eg hm{g ~lbwg mh {eg b`hgt(
;( * * * 6 ]]]]]]]]]]]]]
7( * * 6 ]]]]]]]]]]]]]
Ys`{g {eg hwfcgs mn cgl{t glde hm{g sgdg`~gt lhk {eg {m{lb {`fg
~lbwg( Gu( * 6< * < 6 3 cgl{t
<( * * 6* * 6 cgl{t
3( * * * 6
* * * 6 cgl{
4( * * * 6
* * * 6 cgl{t
;( * * * 6
* * * 6 cgl{t
<9
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Ghd`sdbg {eg dmssgd{ lhtygs(
<( L ]]]] hm{g sgdg`~gt {eg fmt{ cgl{(l( yembg c( elbn d( |wls{gs k( g`ie{
3( ]]]]] lsg clt`d fwt`dlb tpfcmbt {el{ sgqsgtgh{ {eg ~lsp`hi kwsl{`mh lhk q`{de mn tmwhkt(
l( sep{ef c( fwt`d d( tmwhk k( hm`tg
4( Lh g`ie{e hm{g sgdg`~gt ]]]] cgl{(l( mhg c( ¸ d( ¶ k( ²
;( [eg hm{g {el{ sgdg`~gt {eg tems{gt{ kwsl{`mh mn cgl{ `t? l( elbn hm{g c( |wls{gs hm{g d( g`ie{ hm{g k( t`u{ggh{e hm{g
7( @h {eg fwt`dlb tegg{ mn {eg tmhi ―C`him"‐ yel{ fwt`dlb hm{g ylt hm{ qsgtgh{=
l( yembg hm{g c( elbn hm{g d( |wls{gs hm{g k( hmhg
<5
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Fwt`dlb hm{gt lsg {eg clt`d tpfcmbt `h fwt`d( @{ `t `fqms{lh{ {m jhmy lhk cg nlf`b`ls y`{e {egtg hm{gt( Pmw fwt{ cg ql{`gh{ `h t{wkp`hi {egtg hm{gt( Sgfgfcgs {el{ qsld{`dg fljgt qgsngd{,((
7/30/2019 MAPE for Grade 3
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Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bglsh`hi Lcmw{ Fwt`dlb Sgt{t Bgttmh ; Bgttmh ; Bgttmh ; Bgttmh ;
<0
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh ;" pmw temwbk el~g? l( `kgh{`n`gk {eg k`nngsgh{ fwt`dlb sgt{t(c( kslyh {eg k`nngsgh{ fwt`dlb sgt{t d( kg{gsf`hgk {eg {`fg ~lbwg lhk g|w`~lbgh{ hm{g mn glde sgt{(―k( kg~gbmqgk ql{`ghdg `h `h{gsqsg{`hi fwt`dlb sgt{t(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh El~g pmw guqgs`ghdgk ig{{`hi {`sgk mn {lbj`hi ms t`hi`hi= @n
pmw el~g {el{ nggb`hi" yel{ km pmw km= Wtwlbbp yg {ljg l sgt{ lhk {sp {m jggq t`bgh{ nms l ye`bg( @h fwt`d" yg lbtm el~g {e`t j`hk mn ld{`mh dlbbgk sgt{ sgt{ sgt{ sgt{ ( Fwt`dlb sgt{ fglht t`bghdg( @h t`hi`hi l sgt{
t`ih i`~gt {`fg {m l t`higs {m sgt{ ms csgl{eg lhk qlwtg(Sgt{t Sgt{t Sgt{t Sgt{t Hm{gt Hm{gt Hm{gt Hm{gt [`fg ^lbwgt [`fg ^lbwgt [`fg ^lbwgt [`fg ^lbwgt
< cgl{ ¶ cgl{
² cgl{
3 cgl{t
; cgl{t
7/30/2019 MAPE for Grade 3
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31
T{wkp {eg fwt`d tegg{ mn {eg tmhi ‒‖K`hi Kmhi Cgbb‖(Pmws {gldegs y`bb lbtm qblp `{t fwt`d ~`kgm( [sp {m b`t{gh emy glde fwt`dlb sgt{ lnngd{t `{t sep{ef(
7/30/2019 MAPE for Grade 3
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Ld{`~`{p ;( 3Ld{`~`{p ;( 3Ld{`~`{p ;( 3Ld{`~`{p ;( 3
Ld{`~`{p ;(<Ld{`~`{p ;(<Ld{`~`{p ;(<Ld{`~`{p ;(<Fwt`dlb sgt{t el~g {eg`s g|w`~lbgh{ hm{gt lhk {`fg ~lbwg( Dlh
pmw ys`{g {eg hlfg mn glde fwt`dlb sgt{ lhk `{t {`fg ~lbwg=
Ksly {eg tqgd`n`gk sgt{t `ht`kg {eg cmugt(
3<
]] cgl{t
]] cgl{t
]] cgl{
]] cgl{
]] cgl{
4 yembg sgt{t 3 elbn sgt{ ; |wls{gs sgt{t
; g`ie{e sgt{t ; t`u{ggh{e sgt{t 3 yembg sgt{t lhk l |wls{gs sgt{
7/30/2019 MAPE for Grade 3
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Ld{`~`{p ;( 4 Ld{`~`{p ;( 4 Ld{`~`{p ;( 4 Ld{`~`{p ;( 4 L( Ys`{g {eg hwfcgs mn cgl{t glde sgt{ sgdg`~gt lhk {eg {m{lb
{`fg ~lbwg(Gu( * * 3 < < 6 ; cgl{t
<( * * *6 ]]]]]]]]]]]
3( * * * * * * *
6 ]]]]]]]]]]] 4( * * * 6 ]]]]]]]]]]]
;( * * * * 6 ]]]]]]]]]]]
7( * * * * * 6 ]]]]]]]]]]]
C( Fl{de {eg sgt{t {m {eg`s dmssgtqmhk`hi hm{gt( Ys`{g {eg bg{{gs mn {eg dmssgd{ lhtygs mh {eg cblhj qsm~`kgk(
]]] <(
]]] 3(
]]] 4( ]]] ;(
]]] 7(
33
L(
c(
d(k(
g(
7/30/2019 MAPE for Grade 3
http://slidepdf.com/reader/full/mape-for-grade-3 23/56
Ghd`sdbg {eg dmssgd{ lhtygs(
<( [eg k`nngsgh{ fwt`dlb sgt{t el~g {eg`s g|w`~lbgh{ ]]]]]]]]]](l( {`fg ~lbwgt c( t`ihl{wsg d( tpfcmbt k( g`ie{
3( [ym %3) elbn sgt{t lhk l |wls{gs hm{g el~g l {`fg ~lbwg mn? l( nmws c( {esgg d( {ym k( mhg
4( @{ `t l fwt`dlb tpfcmb ye`de fglht t`bghdg(l( Yembg hm{g c( elbn hm{g d( hm{g k( sgt{
;( L t`u{ggh{e sgt{ sgdg`~gt ]]]]] cgl{(l( 3 c( < d( ¶ k( ²
7( @h {eg fwt`dlb tegg{ mn {eg tmhi ―‐K`hi Kmhi Cgbb‐ yel{ fwt`dlb
tpfcmb ylt qsgtgh{=l( yembg sgt{ c( elbn sgt{ d( |wls{gs sgt{ k( g`ie{e sgt{
34
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Fwt`dlb sgt{t lsg gtqgd`lbbp `fqms{lh{ yegh `{ dmfgt {m ys`{`hi
kmyh fwt`d nms m{egs qgmqbg {m sglk( [egp fljgt {eg sep{ef mn l fwt`d q`gdg fmsg qsgd`tg(
7/30/2019 MAPE for Grade 3
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T{ls{`hi Mcogd{ Y`{e B`hgt T{ls{`hi Mcogd{ Y`{e B`hgt T{ls{`hi Mcogd{ Y`{e B`hgt T{ls{`hi Mcogd{ Y`{e B`hgt Bgttmh 7 Bgttmh 7 Bgttmh 7 Bgttmh 7
3;
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 7" pmw temwbk el~g? l( `kgh{`n`gk {eg k`nngsgh{ j`hkt mn b`hgt(c( kslyh k`nngsgh{ b`hgt(d( `h{gsqsg{gk {eg fglh`hi mn k`nngsgh{ b`hgt(―k( ql{`gh{bp dsgl{gk ls{ q`gdgt wt`hi k`nngsgh{ b`hgt(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh
Bmmj l{ {eg q`d{wsg( Yel{ km pmw tgg= Dlh pmw `kgh{`np {eg k`n&
ngsgh{ b`hgt pmw tgg=
L b`hg b`hg b`hg b`hg dmhhgd{t {ym qm`h{t( @{‐t lbtm {eg ql{e flkg cp l fm~`hi qm`h{( B`hgt dlh cg {e`dj ms {e`h( [egp dlh cg bmhi ms tems{([egp dlh cg ~gs{`dlb" ems`zmh{lb" ms
k`limhlb( [egp dlh cg tmb`k ms km{{gk ms kltegk cw{ wtwlbbp" b`hgt dlh
cg dbltt`n`gk `h{m {ym‛t{sl`ie{ b`hgt lhk {eg dws~gk b`hgt(
Qm`h{ < Qm`h{ 3
7/30/2019 MAPE for Grade 3
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L( T{sl`ie{ b`hgt L( T{sl`ie{ b`hgt L( T{sl`ie{ b`hgt L( T{sl`ie{ b`hgt
37
Ighgslbbp t{sl`ie{ b`hgt twiigt{ t{glk`hgtt" clblhdg" lhk
dlbfhgtt(Ems`zmh{lb b`hgt bmmj b`jg {egp lsg bp`hi kmyh" l{ sgt{" ltbggq(
[egp twiigt{ dlbfhgtt" |w`g{hgtt" lhk l sgblugk dmfnms{( L bmhi ems`zmh{lb b`hg i`~gt qgldgnwbhgtt" ye`bg l tems{ b`hg {ghkt {m cg gud`{`hi(
^gs{`dlb b`hgt lsg n`bbgk y`{e qm{gh{`lb ghgsip {el{ dmwbk cg sgbgltgk `n {egp ygsg {m nlbb m~gs owt{ b`jg {eg sl`h nlbb`hi kmyh(
^gs{`dlb b`hgt lsg t{smhi lhk s`i`k( [egp dlh twiigt{ t{lc`b`{p"gtqgd`lbbp yegh {e`djgs( @{ lbtm tpfcmb`zgt qm`tg" nmsdg lhk sglk`hgtt nms ld{`mh(
K`limhlb b`hgt dlh lqqgls {m cg g`{egs s`t`hi ms nlbb`hi lhk dmh~gp ld{`mh ms fm{`mh( K`limhlb b`hgt twiigt{ ld{`mh" `ht{lc`b`{p"
^gs{`dlb b`hgt Ems`zmh{lb b`hgt K`limhlb ms tblh{ b`hgt
Csmjgh b`hgt Km{{gk b`hgt _`izli b`hgt
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7/30/2019 MAPE for Grade 3
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Ld{`~`{p 7(<Ld{`~`{p 7(<Ld{`~`{p 7(<Ld{`~`{p 7(<Ln{gs jhmy`hi {eg k`nngsgh{ b`hgt lhk {eg`s fglh`hi" bg{ wt {sp
tmfg ld{`~`{`gt( @fli`hg {el{ {mklp `t {eg c`s{eklp mn pmws fm{egs(Pmw ygsg ltjgk cp pmws nl{egs {m kgdmsl{g pmws fm{egs‐t dljg( Wt`hi {eg k`nngsgh{ b`hgt" ksly lhk kgdmsl{g {eg dljg( Dmbms {eg dljg {el{ pmw el~g kgdmsl{gk( El~g nwh,
39
7/30/2019 MAPE for Grade 3
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Ld{`~`{p 7(3Ld{`~`{p 7(3Ld{`~`{p 7(3Ld{`~`{p 7(3K`k pmw kgdmsl{g {eg dljg cglw{`nwbbp= T`hdg {eg dljg `t
sglkp" {eg qls{p y`bb cgi`h, Pmw el~g {m demmtg l h`dg ksgtt {el{ pmw y`bb wtg l{ {eg qls{p( Ksly l kgt`ih mh pmws ksgtt cltgk mh pmws delsld{gs( Ys`{g l tems{ kgtds`q{`mh yep k`k pmw wtg
t{sl`ie{ r dws~gk b`hgt(
Lhtygs? <( Yel{ dlh pmw tlp lcmw{ pmws b`hg ksly`hit= Yel{ nggb`hit km
{egp guqsgtt=
3( Lsg b`hgt `fqms{lh{= Yep=
35
7/30/2019 MAPE for Grade 3
http://slidepdf.com/reader/full/mape-for-grade-3 29/56
Ld{`~`{p 7(4 Ld{`~`{p 7(4 Ld{`~`{p 7(4 Ld{`~`{p 7(4 El~g pmw g~gs tggh l s`dg n`gbk= Ksly l s`dg n`gbk cgbmy( Wtg
lt flhp j`hkt mn b`hgt lt pmw dlh( Wtg qghd`b `h ksly`hi( Pmw dlh wtg {e`h" {e`dj" csmjgh ms km{{gk b`hgt %t{sl`ie{ lhk dws~gk)(
30
‒ L Cmwh{`nwb S`dg n`gbk‖ ‒ L Cmwh{`nwb S`dg n`gbk‖ ‒ L Cmwh{`nwb S`dg n`gbk‖ ‒ L Cmwh{`nwb S`dg n`gbk‖
7/30/2019 MAPE for Grade 3
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Ghd`sdbg {eg dmssgd{ lhtygs(
<( B`hgt {el{ twiigt{ t{lc`b`{p lhk sglk`hgtt nms ld{`mh(l( k`limhlb c( ~gs{`dlb d( ems`zmh{lb k( dws~gk
3( L tg{ mn qm`h{t {el{ `t dmhhgd{gk {mig{egs(l( b`hg c( telqg d( dmbms k( ls{
4( L b`hg {el{ dmhhm{gt fm~gfgh{ ms sgt{bgtthgtt(l( Dws~gk c( csmjgh d( km{{gk k( t{sl`ie{
;( L b`hg {el{ guqsgttgt nbw`k fm~gfgh{ lhk dlh cg kphlf`d(l( Dws~gk c( csmjgh d( km{{gk k( t{sl`ie{
7( L b`hg {el{ tpfcmb`zgt elstehgtt lhk yls(
l( ~gs{`dlb c( dws~gk d( z`izli k( csmjgh
41
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,B`hgt lsg `fqms{lh{ `h ls{( B`hgt fljg wq {eg nmsft lhk
telqgt mn k`nngsgh{ {e`hit( Bg{‐t cg dsgl{`~g `h wt`hi k`nngsgh{ b`hgt lhk `{ y`bb fljg mws ls{ymsj fmsg guqsgtt`~g(
7/30/2019 MAPE for Grade 3
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Nmsf`hi Telqgt lhk Kgt`iht Nmsf`hi Telqgt lhk Kgt`iht Nmsf`hi Telqgt lhk Kgt`iht Nmsf`hi Telqgt lhk Kgt`iht Bgttmh >Bgttmh >Bgttmh >Bgttmh >
4<
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh >" pmw temwbk el~g? l( `kgh{`n`gk {eg k`nngsgh{ j`hkt mn telqgt(c( lttmd`l{gk mcogd{t y`{e telqgt(d( k`t{`hiw`tegk {eg k`nngsghdg mn glde telqg delsld{gs(―k( kgt`ihgk `h{gsgt{`hi ls{ymsj cp qw{{`hi {mig{egs k`nngsgh{ telqgt(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh
Km pmw sgfgfcgs {egtg telqgt= Lsg {egtg telqgt nlf`b`ls {m pmw= Ye`de telqgt el~g dmshgst= Ye`de telqgt km hm{ el~g dmshgst=
egls{ m~lb dwcg dsgtdgh{
d`sdbg sgd{lhibg {s`lhibg t|wlsg
t{ls k`lfmhk dmhg kmhw{
7/30/2019 MAPE for Grade 3
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43
Telqgt Telqgt Telqgt Telqgt lsg b`hgt {el{ lsg qw{ {mig{egs( L telqg `t nmsfgk cp dmhhgd{`hi b`hgt lhk ghdbmt`hi l tqldg( Tmfg telqgt el~g t`kgt lhk dmshgst( M{egs telqgt el~g hm t`kgt lhk dmshgst" b`jg d`sdbg
lhk mcbmhi(
Bmmj l{ {eg q`d{wsg cgbmy( Dlh pmw `kgh{`np {eg telqgt wtgk=
[eg telqgt wtgk lsg ]]]]]]]]]]]]]]]]]]]]]]]]]]]]] ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]] ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
Ld{`~`{p >(<Ld{`~`{p >(<Ld{`~`{p >(<Ld{`~`{p >(<
7/30/2019 MAPE for Grade 3
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44
L( Hmy bg{‐t qsld{`dg ymsj`hi mh y`{e telqgt( Ksly l cw{{gsnbp
owt{ b`jg {eg q`d{wsg cgbmy(
Ld{`~`{p >((3Ld{`~`{p >((3Ld{`~`{p >((3Ld{`~`{p >((3
L Cw{{gsnbp L Cw{{gsnbp L Cw{{gsnbp L Cw{{gsnbp
7/30/2019 MAPE for Grade 3
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4;
C( Emy‐t pmws cw{{gsnbp= Ylt `{ elsk ms gltp nms pmw= Ylh{ {m {sp lhm{egs mhg=
L Kslimhnbp L Kslimhnbp L Kslimhnbp L Kslimhnbp
7/30/2019 MAPE for Grade 3
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47
Hmy" `{‐t {`fg nms l fmsg dsgl{`~g ymsj(
Qsgqlsg {eg nmbbmy`hi fl{gs`lbt ? k`nngsgh{ dmbmst mn ls{ qlqgs" td`ttmst" ibwg ms qlt{g"lhk qghd`b(<( Ksly k`nngsgh{ telqgt mn ~ls`mwt t`zgt(
3( Dw{ {eg telqgt lhk dmhhgd{ `{ ms qw{ mhg mh {mq mn {eg m{egs {m fljg lh `h{gsgt{`hi kgt`ih(
4( Pmw dlh sgqgl{ {eg telqgt cw{ lsslhig {egf `h k`nngsgh{ ylpt(
Ld{`~`{p >(4 Ld{`~`{p >(4 Ld{`~`{p >(4 Ld{`~`{p >(4 Tlfqbg ls{ymsj
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Bmmj l{ {eg q`d{wsgt cgbmy( Fl{de {eg telqg {el{ `t lttmd`l{gk
y`{e {eg mcogd{( Ys`{g {eg bg{{gs mn {eg dmssgd{ lhtygs `h {eg cblhj qsm~`kgk cgnmsg glde hwfcgs(
]]]]<(
]]]]3(
]]]]4(
]]]];(
]]]]7(
4>
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Lbb {e`hit lsmwhk wt el~g ~ls`gk nmsft lhk telqgt( Qw{{`hi {mig{egs
k`nngsgh{ telqgt dlh sgtwb{ `h lh ls{`t{`d kgt`ih( Lh `fli`hl{`~g f`hk cs`hit ~gsp `h{gsgt{`hi ymsjt mn ls{(
L( K`lfmhk telqg
C( T{ls telqg
D( [s`lhibg telqg
K( Dwcg telqg
G( Mcbmhi telqg
7/30/2019 MAPE for Grade 3
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Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst Ql`h{ y`{e Dmbmst Bgttmh 9 Bgttmh 9 Bgttmh 9 Bgttmh 9
49
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 9" pmw temwbk el~g? l( jhmyh {eg k`nngsghdg cg{yggh qs`flsp lhk tgdmhklsp dmbmst(c( jhmyh {eg `fqms{lhdg mn qsmqgs{`gt mn dmbmst d( lqqb`gk qs`flsp lhk tgdmhklsp dmbmst dsgl{`~gbp `h pmws ls{ymsjt(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bmmj lsmwhk pmw( Yel{ km pmw tgg= @t g~gsp{e`hi qsgtgh{gk
`h cbldj lhk ye`{g= Yep km pmw {e`hj `{ `t hm{= @fli`hg pmws twssmwhk`hit el~`hi hm dmbmst l{ lbb‛{eg bgl~gt" nbmygst" {sggt" g~gh {eg nmmk pmw gl{( Ymwbk pmw {e`hj `{ ymwbk cg nwh lhk elqqp tgg&
`hi {e`hit cbldj lhk ye`{g lbmhg= Mn dmwstg hm{, @{ ymwbk cg l emss`cbg {e`hi {m {e`hj mn(
Bmmj l{ {egtg q`d{wsgt([egp cm{e sgqsgtgh{ l
twhn bmygs `flig (Emyg~gs" ye`de mn {egtg
q`d{wsgt km pmw b`jg bmmj`hi l{= Fmt{ mn wt y`bb b`jg {eg
twhnbmygs temy`hi `{t sglb dmbms( Yep=
7/30/2019 MAPE for Grade 3
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45
[e`hit `h {eg gh~`smhfgh{ lsg cglw{`nwb cgdlwtg mn {eg ~ls`g{p mn dmbmst( Owt{ b`jg b`hgt lhk telqgt" k`nngsgh{ telkgt mn dmbms tg{ {e`hit lqls{ nsmf mhg lhm{egs( Dmbmst egbq wt sgdmih`zg {eg
k`nngsghdg mn mhg mcogd{ nsmf {eg m{egs(Sgfgfcgs {el{ `h ls{" dmbmst lsg ~gsp `fqms{lh{( Cgdlwtg
dmbms i`~gt b`ng {m lh ls{ ymsj( Dmbmst lsg fl`hbp dbltt`n`gk `h{m qs`flsp lhk tgdmhklsp( [eg qs`flsp dmbmst qs`flsp dmbmst qs`flsp dmbmst qs`flsp dmbmst lsg sgk" cbwg lhk pgbbmy( [eg tgdmhklsp dmbmst tgdmhklsp dmbmst tgdmhklsp dmbmst tgdmhklsp dmbmst lsg mslhig" isggh lhk ~`mbg{(
Bmmj dbmtgbp l{ {eg dmbms qbl{gt cgbmy( Bmmj l{ emy mslhig" isggh lhk ~`mbg{ nmsfgk(
Dmfc`h`hi sgk lhk pgbbmy y`bb nmsf mslhig( Dmfc`h`hi sgk lhk cbwg y`bb nmsf ~`mbg{( Dmfc`h`hi cbwg lhk pgbbmy y`bb nmsf
isggh(Dmbms kmgt hm{ mhbp i`~g b`ng {m lh ls{ymsj( B`jg b`hgt" `{ lbtm
`h{gsqsg{t tmfg{e`hi( Isggh `t {eg dmbms mn hl{wsg( @{ `t cgb`g~gk {el{ isggh `t eglb`hi nms {eg gpgt( Yegh pmws gpgt lsg t{sl`hgk nsmf sglk`hi" pmw nggb {`sgk" im mw{ `h{m {eg ilskgh lhk bmmj l{ {eg
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40
isggh bgl~gt( Pmw nggb {el{ pmws gpgt lt ygbb lt pmws hgs~gt y`bb cg sgt{gk(
^`mbg{ ms qwsqbg i`~gt pmw qgldg mn f`hk( ^`mbg{ `t lttmd`l{gk
y`{e `fli`hl{`mh lhk `htq`sl{`mh( [eg b`ie{gs {`h{t mn ~`mbg{ sgqsgtgh{t ngf`h`hg |wlb`{`gt(
Mslhig `t l qmygs dmbms( @{ tpfcmb`zgt dsl~`hi nms nmmk( Dmbmst el~g fglh`hi {mm owt{ b`jg yel{ yg k`tdwttgk `h pmws qsg~`mwt pgls
t{wkp`hi lcmw{ dmbmst( @h lkk`{`mh {m {el{" dmbms elt qsmqgs{`gt hlfgbp? Ewg" ^lbwg
lhk @h{ght`{p(
Dmbms Qsmqgs{`gt Dmbms Qsmqgs{`gt Dmbms Qsmqgs{`gt Dmbms Qsmqgs{`gt(Ewg `t {eg clt`d hlfg mn {eg dmbms( @{ `t kg{gsf`hgk cp {eg kmf`hlh{ yl~gbghi{e mn {eg b`ie{(Gulfqbg? Sgk" pgbbmy lhk cbwg lsg qs`flsp ewgt(
Mslhig" isggh lhk ~`mbg{ lsg tgdmhklsp ewgt(
^lbwg `t dmhdgshgk y`{e {eg b`ie{ lhk klsj qsmqgs{`gt mn dmbmst( L dmbms flp cg b`ie{" fgk`wf ms klsj( [eg
t{smhigt{ l~l`blcbg dmh{slt{ `h ls{ `t cbldj {m ye`{g(Gulfqbg? Q`hj `t {eg b`ie{ ~lbwg mn sgk lhk flsmmh `t
`{t klsj ~lbwg(
@h{ght`{p ms tl{wsl{`mh `t dmhdgshgk y`{e {eg cs`ie{hgtt lhk kwbbhgtt mn l dmbms( Bg~gbt mn `h{ght`{p dlh fljg
l dmbms t{lhk mw{ ms cg bmt{ `h {eg qsgtghdg mn m{egs dmbmst( L dmbms y`{e e`ie `h{ght`{p `t cs`ie{ lhk l dmbms y`{e bmy `h{ght`{p `t kwbb(
Bmy E`ie
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;1
Bglsh`hi lcmw{ dmbmst ylt sglbbp nwh, Bg{‐t km tmfg
ld{`~`{`gt( Tgg {eg q`d{wsg cgbmy= Dmbms {eg q`d{wsg y`{e isggh(Lqqbp {eg ~lbwg qsmqgs{p mn dmbms(
Ld{`~`{p 9(<Ld{`~`{p 9(<Ld{`~`{p 9(<Ld{`~`{p 9(<
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;<
Dmbms {eg ilskgh( Lqqbp {eg {esgg qsmqgs{`gt mn dmbms(
Ld{`~`{p 9(3Ld{`~`{p 9(3Ld{`~`{p 9(3Ld{`~`{p 9(3
Qsmqgs{`gt mn Dmbms Qsmqgs{`gt mn Dmbms Qsmqgs{`gt mn Dmbms Qsmqgs{`gt mn Dmbms
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;3
Km pmw sgfgfcgs flj`hi l dmbms yeggb= Mh {eg cmu cgbmy"
ksly pmws myh dmbms yeggb temy`hi {eg qs`flsp lhk tgdmhklsp dmbmst(
Ld{`~`{p 9( 4 Ld{`~`{p 9( 4 Ld{`~`{p 9( 4 Ld{`~`{p 9( 4
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Ghd`sdbg {eg dmssgd{ lhtygs(
<( F`u`hi cbwg lhk pgbbmy y`bb i`~g pmw l( sgk c( mslhig d( isggh k( ~`mbg{
3( @{ sgngst {m {eg cs`ie{hgtt ms kwbbhgtt mn l dmbms(l( ~lbwg c( `h{ght`{p d( ewg k( qs`flsp
4( @{ `t kg{gsf`hgk cp {eg kmf`hlh{ yl~gbghi{e mn b`ie{(l( ~lbwg c( `h{ght`{p d( ewg k( qs`flsp
;( Dmfc`h`hi {ym qs`flsp dmbmst y`bb qsmkwdg l ]]]]]]] dmbms(l( qs`flsp c( tgdmhklsp d( ewgt k( `h{ght`{p
7( [e`t dmbms tpfcmb`zgt dsl~`hi nms nmmk(
l( pgbbmy c( isggh d( mslhig k( sgk
;4
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Dmbmst i`~g b`ng hm{ owt{ {m lh ls{ymsj cw{ `h mws twssmwhk`hit
lt ygbb( Yg tgg lhk lqqsgd`l{g {eg cglw{p mn {e`hit cgdlwtg mn dmbmst( Bg{ wt cg {elhjnwb {m Imk nms dsgl{`hi mws ymsbk
y`{e {egtg ymhkgsnwb {e`hit(
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F`u`hi Fmsg Dmbmst F`u`hi Fmsg Dmbmst F`u`hi Fmsg Dmbmst F`u`hi Fmsg Dmbmst Bgttmh 5 Bgttmh 5 Bgttmh 5 Bgttmh 5
;;
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 5" pmw temwbk el~g? l( lkkgk {gs{`lsp dmbmst lt lhm{egs tg{ mn dmbms ismwqt c( k`nngsgh{`l{gk ylsf dmbmst nsmf dmmb dmbmst d( f`ugk lhk lqqb`gk dmbmst dsgl{`hi `h{gsgt{`hi ls{ kgt`iht(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Sgfgfcgs {el{ `h mws qsg~`mwt bgttmh yg bglshgk {el{
dmfc`h`hi {ym qs`flsp dmbmst nmsft tgdmhklsp dmbmst( @ jhmy {el{ pmw ymwbk b`jg {m ltj lcmw{ {eg sgt{ mn {eg dmbmst {el{ pmw el~g lhk pmw tgg yeghg~gs pmw cwp l tg{ mn dslpmht l{ l bmdlb tdemmb twqqb`gt
t{msg( Fmsg dmbmst dlh cg qsmkwdgk cp cbghk`hi g|wlb lfmwh{t mn
qs`flsp lhk tgdmhklsp dmbmst( [eg sgtwb{ `t `h{gsfgk`l{g lbtm jhmyh lt {gs{ `lsp dmbmst {gs{`lsp dmbmst {gs{`lsp dmbmst {gs{`lsp dmbmst( T{wkp {eg dmbms yeggb cgbmy(
Qs`flsp Dmbmst %`hhgs dmbmst)
pgbbmy" sgk lhk cbwg
Tgdmhklsp Dmbmst %mw{gs dmbmst)
pgbbmy * sgk 6 mslhig pgbbmy * cbwg 6 isggh" sgk * cbwg 6 ~`mbg{
[gs{`lsp Dmbmst %mw{gsfmt{ dmbmst)
pgbbmy*mslhig6pgbbmy&mslhig" sgk*mslhig6sgk&mslhig"sgk*~`mbg{6sgk~`mbg{" cbwg*~`mbg{6cbwg&~`mbg{"
cbwg*isggh6cbwg&isggh" pgbbmy*isggh6pgbbmy&isggh
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;7
Bmmj l{ {eg delsld{gst mn {eg fm~`g ‒Fmht{gst @hd(‖ Sgfgfcgs Twbbgp lhk e`t cwkkp F`jg= Yel{ `t Twbbgp‐t dmbms=
Emy lcmw{ F`jg=Twbbgp `t l cbwg&isggh fmht{gs lhk
F`jg `t l pgbbmy&isggh fmht{gs( Yep km pmw {e`hj {egp el~g {egtg dmbmst= T`hdg
dmbms `fqb`gt fglh`hi `{ lbtm tg{t fmmk" l{{sld{t l{{gh{`mh ms fljgt l t{l{gfgh{( Pmw dlh wtg dmbms {m ylsf wq" ms {m dmmb kmyh(
Cbwg lhk isggh lsg dmmb dmbmst( T`hdg Twbbgp lhk F`jg lsg
dls{mmh delsld{gst" {egp el~g {m bmmj dmmb g~gh {emwie {egp‐sg fmht{gst( Cbwg&isggh `t {eg dmbms mn dmffwh`dl{`mh lhk lttmd`l{gk y`{e ksglf ymsjt( Sgfgfcgs {el{ Twbbgp lqqglst mhbp `h de`bksgh‐t ksglf,
Dmmb dmbmst Dmmb dmbmst Dmmb dmbmst Dmmb dmbmst i`~g lh `fqsgtt`mh mn dlbf lhk tmm{e`hi nggb`hi( [egtg dmbmst lsg wtwlbbp lttmd`l{gk y`{e isltt" {sggt" yl{gs lhk {eg tjp(
Ylsf dmbmst Ylsf dmbmst Ylsf dmbmst Ylsf dmbmst mh {eg m{egs elhk lsg ~`~`k lhk ghgsig{`d( Sgk lhk mslhig lsg ylsf dmbmst([egp {ghk {m fljg mcogd{t lqqgls c`iigs lhk hglsgs {m {eg ~`gygs(
Km pmw jhmy Ilsn`gbk= Ilsn`gbk `t jhmyh lt l blzp nl{ dl{( Sgk&mslhig `t e`t dmbms
t`hdg eg sglbbp hggkt {m bmmj c`iigs( [egtg dmbmst
lsg wtwlbbp lttmd`l{gk y`{e {eg twh" dmlb lhk n`sg(Hgw{slb dmbmst Hgw{slb dmbmst Hgw{slb dmbmst Hgw{slb dmbmst lsg cbldj" islp" lhk ye`{g(
Ye`{g `t {eg lctghdg mn dmbms( @{ t`ih`n`gt qws`{p" omp" `hhmdghdg lhk twssghkgs( Cbldj `t {eg qsgtghdg mn lbb dmbmst( @{ guqsgttgt tmssmy(
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;>
Bmmj l{ {eg q`d{wsgt cgbmy( Dmbms {egf lqqsmqs`l{gbp wt`hi lbb
{eg dmbmst lhk qsmqgs{p mn dmbmst pmw el~g bglshgk(
Ld{`~`{p 5(<Ld{`~`{p 5(<Ld{`~`{p 5(<Ld{`~`{p 5(<
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;9
Yl{gsdmbms Cbmy`hi( Pmw y`bb hggk {eg nmbbmy`hi fl{gs`lbt?
yl{gsdmbms" yl{gs" k`te ms cmyb" ¶ mtbm qlqgs lhk l cbldj dslpmh(Qsmdgkwsgt? <( Ksmq {eg yl{gsdmbms mh {eg mtbm qlqgs(3( Cbmy wh{`b {eg yl{gsdmbms tdl{{gst(
4( Sgqgl{ {eg t{gq nms k`nngsgh{ dmbmst(;( Bg{ `{ ksp 7( Dmbms {eg sgfl`h`hi tqldgt y`{e cbldj
{m qsmkwdg l kslfl{`d gnngd{(>( Dw{ lhk qlt{g pmws ymsj mh {eg tqldg
qsm~`kgk cgbmy(
Ld{`~`{p 5(3Ld{`~`{p 5(3Ld{`~`{p 5(3Ld{`~`{p 5(3
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;5
Cbm{ l Kgt`ih( Pmw y`bb hggk {eg nmbbmy`hi fl{gs`lbt? ¶ mtbm
qlqgs" yl{gsdmbms" ql`h{cswte" qghd`b" dslpmh" lhk qgh{gb qgh((((<( Nmbk {eg qlqgs l{ {eg dgh{gs" {egh mqgh `{(
3( Qw{ {ym g|wlb lfmwh{t mn dmh{slt{`hi dmbmst l{ {eg dgh{gs lhk cbghk l b`{{bg(
4( Lil`h" nmbk {eg qlqgs(;( Qsgtt lhk tqsglk {eg ql`h{ cp smbb`hi {eg
qghd`b `h ~ls`mwt k`sgd{`mht(
7( Mqgh {eg qlqgs(>( Mw{b`hg {eg gkig mn {eg kgt`ih wt`hi l qgh{gb qgh(9( Dmbms {eg sgfl`h`hi tqldgt y`{e l b`ie{gs dmbms(
5( Dw{ lhk qlt{g pmws ymsj mh {eg tqldg qsm~`kgk cgbmy(
Ld{`~`{p 5(4 Ld{`~`{p 5(4 Ld{`~`{p 5(4 Ld{`~`{p 5(4
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Dmbms {eg cmu `n {eg tgh{ghdg `t dmssgd{: cbldj `n ysmhi(
<( Dmbmst twde lt sgk" mslhig lhk pgbbmy lsg ylsf dmbmst(
3( Dmmb dmbmst lsg lttmd`l{gk y`{e isltt" {sgg" {eg tjp lhk yl{gs(
4( [gs{`lsp dmbmst lsg qsmkwdgk cp dmfc`h`hi {ym qs`flsp dmbmst(
;( Dmbmst kgtds`cg mws gfm{`mht(
7( Cbldj `t lh gulfqbg mn l hgw{slb dmbms(
>( [gs{`lsp dmbms `t lbtm jhmyh lt `h{gsfgk`l{g dmbms(
9( Gulfqbg mn ylsf dmbmst lsg ye`{g lhk islp(
5( Ye`{g `t {eg lctghdg mn lbb dmbmst(
0( F`u`hi cbwg lhk isggh y`bb qsmkwdg l cbwg&isggh dmbms(
<1( Cbldj `t {eg qsgtghdg mn lbb dmbmst(
;0
Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,Bg{‐t {ljg l \w`z,
^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,G~gsp{e`hi cgdmfgt l{{sld{`~g cgdlwtg mn dmbms( [egp fljg mcogd{t
lb`~g lhk cglw{`nwb( Dmbms dlh fglh flhp {e`hit( Dmbms dlh kgtds`cg mws gfm{`mht( Lh l{{`{wkg mn dsgl{`~ghgtt `t `fqms{lh{ {m dsgl{g l
ymhkgsnwb ls{ymsj(
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Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg Kg~gbmq`hi Immk Qmt{wsg Bgttmh 0 Bgttmh 0 Bgttmh 0 Bgttmh 0
71
Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=Yel{ y`bb @ bglsh=L{ {eg ghk mn bgttmh 0" pmw temwbk el~g? l( kgtds`cgk yel{ `t l immk qmt{wsg(c( jhmyh {eg `fqms{lhdg mn immk qmt{wsg d( bglshgk lhk ~lbwgk qsld{`d`hi immk qmt{wsg ye`bg pmwhi(
Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Bgttmh Fm{`~l{`mh Qmt{wsg Qmt{wsg Qmt{wsg Qmt{wsg `t {eg ylp yg dlssp mws cmkp yeghg~gs yg lsg
t{lhk`hi" t`{{`hi ms ylbj`hi( Dmssgd{ qmt`{`mh mn {eg cmkp dmh{s`cw{gt {m immk eglb{e( @{ lbtm egbqt wt {m nggb sgblugk( Ye`bg pmwhi" `{ `t `fqms{lh{ {m kg~gbmq immk qmt{wsg(
El~`hi immk qmt{wsg ld{wlbbp egbqt pmw {m cg dlbfgs" fmsg
sgblugk" fmsg qept`dlbbp lhk fgh{lbbp t{lcbg (
Immk qmt{wsg egbqt kg~gbmq tgbn&dmhn`kghdg" dmfnms{lcbg nggb`hi lhk gltp fm~gfgh{(Km pmw ylh{ {m el~g immk qmt{wsg= Sgfgfcgs {eg nmbbmy`hi?
T{lhk`hi Qmt`{`mh T{lhk`hi Qmt`{`mh T{lhk`hi Qmt`{`mh T{lhk`hi Qmt`{`mh <( T{lhk y`{e ngg{ nbl{ mh {eg nbmms(
3( Eglk temwbk hg`{egs cg {`b{gk wq hms kmyh(
4( Degt{ mw{ lhk t{mflde `h(;( Temwbkgst lsg tqsglk t`kg lt qmtt`cbg(7( [eg eglk" {eg temwbkgst lhk {eg cw{{mdjt lsg lbb lb`ihgk >( Jhggt lsg hm{ bmdjgk(
N`iwsg 9(< Dmssgd{ t{lhk`hi qmt{wsg? l ~gs{`dlb b`hg temwbk qltt {esmwie {eg gls" {`q mn {egtemwbkgs" f`kkbg mn {eg e`q" cldj mn {eg jhgg" lhk nsmh{ mn {eg lhjbg(
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7<
N`iwsg 9(3 T`{ wq y`{e pmws cldj t{sl`ie{ lhk pmws temwbkgstcldj( Pmws cw{{mdjt temwbk {mwde {eg cldj mn pmws del`s(
T`{{`hi Qmt`{`mh T`{{`hi Qmt`{`mh T`{{`hi Qmt`{`mh T`{{`hi Qmt`{`mh <( Ngg{ nbl{ mh {eg nbmms(
3( Cldj lhk cw{{mdjt {mwde`hi {eg cldj mn l del`s(
4( Eglk" temwbkgst lhk cw{{mdjt lsg t{`bb lb`ihgk(;( [eg cmkp yg`ie{ `t twqqms{gk cp {eg del`s lhk {eg cmkp fwtdbgt cg dmfg sgblugk(7( Bgit flp cg dsmttgk lcm~g {eg jhgg l{ {eg lhjbgt( Cw{ {e`t ymwbk cg lb{gshl{gbp dsmttgk {m lbbmy clblhdgk cbmmk d`sdwbl{`mh mh cm{e bgit(>( Yegh l{ ymsj" {eg {swhj bglht tb`ie{bp
nmsylsk( [eg eglk" hgdj lhk {swhj lsg jgq{ `h t{sl`ie{ b`hg {m cs`hi gpgt `h b`hg y`{e {eg ymsj(
Ylbj`hi Qmt`{`mh Ylbj`hi Qmt`{`mh Ylbj`hi Qmt`{`mh Ylbj`hi Qmt`{`mh <( Qm`h{ pmws {mgt t{sl`ie{ leglk(
3( Qwte mnn y`{e pmws {mgt( Km hm{ cmc ms cmwhdg ye`bg ylbj`hi
4( Dlssp pmws ngg{ mnn {eg nbmws( L~m`k tewnnb`hi(;( Nms glde t{gq" el~g pmws eggb {mwde {eg ismwhk n`st{ cgnmsg {slhtngss`hi pmws yg`ie{ {m {eg clbbt lhk {mgt(7( B`fcgs pmws lhjbgt lhk jhggt(>( Ty`hi pmws bgit nmsylsk nsmf {eg e`qt(9( Ty`hi pmws lsft lil`ht{ {eg fm~gfgh{ mn pmws ngg{( Ty`hi {egf nsggbp lhk glt`bp(
5( Embk pmws eglk lhk degt{ e`ie( L~m`k bmmj`hi l{ pmws ngg{(
N`iwsg 9(4 Ylbj y`{e gltg lhk isldg yegh {eg bgit" cmhgt lhk fwt&dbgt mn {eg ngg{ lsg dmhk`{`mhgk qsmqgsbp(
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N`iwsg 9(3 Yegh db`fc`hi wq {eg t{l`st" owt{ qw{ mhg nmm{ `h
nsmh{ mn {eg hgu{ wh{`b pmw ig{ {m {eg {mq(
Db`fc`hi {eg T{l`st Db`fc`hi {eg T{l`st Db`fc`hi {eg T{l`st Db`fc`hi {eg T{l`st <( T{gq {eg s`ie{ nmm{ nmsylsk mh {eg n`st{ t{gq mn {eg t{l`st(
3( T{sl`ie{gh {eg bgn{ jhgg {m dlssp {eg cmkp‐t yg`ie{(
4( Mhdg {eg s`ie{ nmm{ `t t{lcbg" islkwlbbp {slhtngs {eg cmkp yg`ie{ mh {e`t nmm{( [egh b`n{ {eg bgn{ nmm{ lhk qbldg `{ mh {eg tgdmhk t{gq mn {eg t{l`st(;( Cm{e ngg{ dlssp {eg cmkp wqylsk y`{e lb{gshl{`hi fm~gfgh{t(
Im`hi Kmyht{l`st Im`hi Kmyht{l`st Im`hi Kmyht{l`st Im`hi Kmyht{l`st <( Embk mh {m {eg t`kg sl`bt mn {eg t{l`st ye`bg im`hi kmyh(
3( Qw{ {eg s`ie{ nmm{ kmyh mh {eg n`st{ t{gq lhk cghk {eg bgn{ nmm{ wh{`b {eg yg`ie{ mn {eg cmkp `t {slhtngssgk mh {eg s`ie{ nmm{(
4( T{sl`ie{gh {eg s`ie{ jhgg {m dlssp {eg cmkp‐t
yg`ie{ lhk t{gq {eg bgn{ nmm{ {m im kmyh {eg tgdmhk t{gq mn {eg t{l`st(;( Sgqgl{ y`{e lb{gshl{`hi t{gqt mn {eg ngg{(
Q`dj`hi wq lh Mcogd{ Q`dj`hi wq lh Mcogd{ Q`dj`hi wq lh Mcogd{ Q`dj`hi wq lh Mcogd{ <( [m q`dj wq lh mcogd{ nsmf {eg
nbmms" cghk {eg jhggt `ht{glk mn
bglh`hi {eg yembg cmkp {mylsk( 3( Jhggb kmyh {egh dlssp {eg mcogd{ wqylsk islkwlbbp cp gugs{`hi gnnms{ nsmf {eg ngg{(
N`iwsg 9(4 Wtg pmws bgit lhk hm{ pmws cldj yegh b`n{`hi{e`hit hm fl{{gs emy b`ie{ ms egl~p {egp lsg(
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^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,^lbwgt Bglshgk,Immk qmt{wsg egbqt kg~gbmq {eg qept`dlb n`{hgtt mn l qgstmh(
Qsld{`d`hi l immk elc`{ `h qgsnmsf`hi cmkp qmt`{`mht y`bb lbtm i`~g pmw tgbn&dmhn`kghdg lhk dmfnms{(
77
Degdj % ∟ ) {eg cmu {el{ {gbbt pmws lhtygs(
Kws`hi {eg {ym sgblp ld{`~`{`gt…
<( @ nmbbmygk {eg k`sgd{`mh k`b`igh{bp(
3( @ clblhdgk {eg cmmj mh fp eglk dmssgd{bp(
4( @ b`n{gk {eg q`bg mn cmmjt dmssgd{bp(
;( @ {s`gk fp cgt{ lhk ymh {eg ilfg(
7( @ ylt {eg {glf bglkgs(
>( @ ghompgk {eg ilfg y`{e fp dblttfl{gt(
9( @ ylt l immk tqms{(
5( @ ghdmwsligk fp {glffl{gt {m qls{̀ d̀ ql{g y {̀e gh{ewt̀ ltf(
0( @ ylt emhgt{ `h qblp`hi {eg ilfg(
<1( @ dmhisl{wbl{gk {eg y`hhgs(
Ld{`~`{p 0(4 Ld{`~`{p 0(4 Ld{`~`{p 0(4 Ld{`~`{p 0(4
7/30/2019 MAPE for Grade 3
http://slidepdf.com/reader/full/mape-for-grade-3 56/56
LO@L Tmhi LO@L Tmhi LO@L Tmhi LO@L Tmhi
Bglsh`hi `t nwh l{ LO@L
Lt yg qblp lbmhi lhk bglsh hgy tmhit
Flj`hi ns`ghkt y`{e mhg lhm{egs
Tels`hi fgfms`gt" ismy`hi {mig{egs Sglde`hi mw{ lhk egbq`hi m{egst
N`hg cmpt lhk i`sbt
Yg‐bb lbb ismy wq {m cg(
Mhylsk yg flsde {m ~`d{msp
Y`{e lbb mws t{sghi{e lhk csl~gsp
Glde n`ie{ yg‐bb nldg y`{e k`ih`{p
Y`{e dmhn`kghdg yg telbb qsg~l`b(
@h mws egls{t yg bm~g LO@L
[emwie nls lylp mws ngg{ flp smlf
Y`{e mhg ~mdg yg telbb qsmdbl`f
Cgbm~gk Lbfl Fl{gs pmw‐sg {eg cgt{(