p2 smkbm percubaan p2 2014(q)

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SEKOLAH MENENGAH KEBANGSAAN BUKIT MERTAJAM

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

This question !e" #onsists o$ % "inte& !'es.

Disediakan oleh : Pn Teh Meow Lee

Tandatangan Guru Panitia : ..

Tandatangan PK Tingkatan 6 : ...

PEPERIKSAAN PER(UBAAN STPM )*+,

MATHEMATI(S M

UPPER SI-

PAPER )

+ hou"s

NAME : ................

(LASS : .

Inst"u#tion to #!n&i&!tes/

1. This question paper consists of 2 section. Answer all questions in section A and any one

question in section B.

2. All necessary working should be shown clearly.

3. Non-eact nu!erical answers !ay be gi"en correct to three significant figures# or one deci!al

place in the case of angles in degrees# unless a different le"el of accuracy is specified in the

question.$. %ou !ay use a non-progra!!able calculator.

950/


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Se#tion A !"5 #arks$

Answer !00questions in this section.

%. The lengths o& the si't( songs re)orded *( a grou+ o& singers are shown in the &ollowing ta*le:

Len'th o$ ! son' in

se#on&s 1x2

Nu34e" o$ son's

%00 < %

%,0%0 < 9"0%,0 < %5

-00"0 < %

-60-00 < %-

600-60 < 5

a Dis+la( the data in a histogra#. !" !arks$

* Deter#ine the #ean length o& a songs. ! !arks$

) Deter#ine the standard de1iation o& the length o& the songs. ! !arks$

. The e1entsAandBare su)h that PA2B 3 0.54 PB2A30.54 0/P BA 30.%

a al)ulate the 1alue o& PB. ! #arks$

* Gi1e a reason wh(AandBare not inde+endent. !%

#ark $

) al)ulate the 1alue o& 06/P BA !- #arks$

-. Let Pearson7s )orrelation )oe&&i)ient *etween 1aria*lesandy&or a rando# sa#+le *e r.

a i 8hat does r#easure !% #ark $

ii tate the range o& +ossi*le 1alues o& rand what it #eans when r3 % ! #arks$

* ; sa#+le o& , data +oint are su##ari& 3 5. ! #arks$

) al)ulate the 1arian)e o&&. !- #arks$

5. The &ollowing data shows the nu#*er o& tourist ?000 in the (ears 0%%4 0% and 0%-

@ear Auarter % Auarter Auarter - Auarter "

0%% % %%0 -%

0% % 6 %50 0

0%- 50 -6 %"6 %%0

a =ind the &ourBCuarter )entred #o1ing a1erage &or the ti#e series. ! #arks$

* al)ulate the seasonal 1ariation using an additi1e #odel. !- #arks$

) se this #odel to +redi)t nu#*er o& tourist &or the &irst Cuarter o& the (ear 0%".


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!5 #arks$

6. The ta*le *elow shows the unit +ri)e and the Cuantities o& se1eral dail( &ood *ought *( a &a#il(

&or #onth o& Eanuar( and Eul(.

=ood Eanuar( Eul(

Pri)es FM/kg Auantit( kg Pri)es FM/kg Auantit( kg

Fi)e .50 0 -.00 %0Meat %0.00 %0 %.00 ,

=ruit 6.00 %0 a 9

=ish %.00 %5 %".00 %0

egeta*le 5.00 5 6.00 "

a H& the si#+le aggregate +ri)e inde' in)reases *( 0I &ro# Eanuar( to Eul(4

deter#ine the 1alue o& a. ! !arks$

* al)ulate the Las+e(res +ri)e inde'4 and )o##ent on (our answer. !- !arks$

) al)ulate the Paas)he Cuantit( inde'4 and )o##ent on (our answer. !- !arks$

Se#tion B !%5 #arks$

Answer any onequestion in this section.

. Hn an a))ountan)( e'a#ination4 0I o& the students +ass the e'a#ination.

a H& %0 students were sele)ted at rando#4 &ind

i the +ro*a*ilit( that e'a)tl( 5 students +ass.

ii the +ro*a*ilit( that at least two students +ass.

iii the e'+e)ted nu#*er o& students not +ass.

i1 how #an( o& the# are #ost likel( to +ass. !9 #arks$

* al)ulate the least nu#*er o& students needed to sele)ted at rando# in order that the+ro*a*ilit( o& getting at least one students +ass is greater than 99I. !- #arks$

) H& there are %50 students take the e'a#ination4 )al)ulate the +ro*a*ilit( that #ore than 50

students +ass the e'a#ination. !- #arks$

,. ;n ad1ertising &ir# )ondu)ted a sur1e( on tele1ision 1iewing ha*its &or *o(s and girls. The ta*le

*elow shows the nu#*er o& hours +er week s+ent wat)hing tele1ision *( 0 *o(s and %, girls.

Jo(s Girls

-5 -5 -6 -, "5 %6 ", -%

-" -" "5 -0 " " 50 -

9 -9 "0 "0 "0 ", -" "6 "0 -% -5 "0 -" "0 ""

" "- -6 -5 5 ,

a onstru)t a suita*le ste#+lot &or the a*o1e data set. !- #arks$

* o##ent on the skewness o& the two distri*utions. ! #arks$

) =ind the interCuartile range o& the two distri*utions. !- #arks$

d al)ulate the #ean and the standard de1iation o& the nu#*er o& hours s+ent wat)hing

tele1ision &or ea)h gentle. !6 #arks$

e o#+are the dis+ersion o& the two distri*utios. !% #ark $

BBBBBEND O5 QUESTION PAPERBBBBB


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p2 smkbm percubaan p2 2014(q)

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