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8/10/2019 4. Transformation Dan Statistik
1/81
Module PMR
1. Example of transformation arei. translation
ii. reflectioniii. rotationiv. enlargement
A. TRANSLATION
1. In a translation, all the pointsin a plane are moved in the samedirectionthrough the same distance.
2. Under a translation, the shapes, sizes and orientationsof the object
and the image are the same.
3. A translation is described in the form
b
a
here!
i. arepresents the horizontalmovement " +arefers to the rightmovements # -arefers to the leftmovements $
ii. brepresents the verticalmovement " +brefers p!ardmovements # -brefers do!n!ardmovements$
%. Example of translations!
"a$ &ranslation
24 means "b$ &ranslation
35 means
moved %units to the left moved ' units to the rightfolloed b( 2 units upards. folloed b( 3 units
donards.
". R#$L#%TION
109
object
image
' unitsto the right
3units
donards
object
image
% unitsto the left
2units
upards
CHAPTER 14 : TRANSFORMATIONS
8/10/2019 4. Transformation Dan Statistik
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Module PMR
1. In a reflection, all the pointsin a plane are flipped overin the sameplane at a straight line )non as the a&is of reflection.
2. Under a reflection !"a$ the shape and size of the object and the image are the same.
"b$ the object and image formed the mirror imageof each other.
3. &he a&is of reflectionis the perpendiclar 'isectorof the line joiningan object point to its corresponding image.
%. Example of reflections!
"a$ *eflection inx+axis. "b$ *eflection in the line A
%. ROTATION
110
0- 2- 4
- 2
2
2 4
- 4
6
4
object
image
x
y
Axis of reflection
object
imageA
Axis of reflection
8/10/2019 4. Transformation Dan Statistik
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Module PMR
1. In a rotation, all the pointsin a plane are rotatedabout a fixed point")non as centre of rotation$ in the same directionthrough the sameangle.
2. &he direction of rotation can be !
"a$ cloc)ise "b$ anticloc)ise
3. Under a rotation !
"a$ the shape and size of the object and the image are the same."b$ the centre of rotation is the onl( point that does not change
position."a$ the distances of the object and its image from the centre ofrotation
are the same
%. Example of rotations!
"a$ *otation through -ocloc)ise "b$ *otation through -oabout the point / anticloc)ise about "+2,
2$
"c$ *otation through 10o
about the centre A
111
/
centre ofrotation
object
image
cloc)iserotation
0- 2- 4
- 2
2
2 4
- 4
4
x
y
object
image
centre ofrotation
anticloc)iserotation
/centre of
rotation
image
8/10/2019 4. Transformation Dan Statistik
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Module PMR
'. &he image of a rotation through -ocloc)ise is exactl( the image of arotation through 2oanticloc)ise.
. &he image of rotation through 10ocloc)ise and anticloc)ise isexactl( the same.
. &o find the centre of rotation hen object and its image are given,construct to perpendicular bisectors of to points on the object andtheir corresponding points on the image.&he centre of rotation is the intersection point of the to perpendicularbisectors.or example!
(. #NLAR)#*#NT
1. In an enlargement, all the pointsin a plane are movedfrom a fixedpoint " )non as centre of enlargement$ folloing a constant ratio.
112
4
54A4
5
A
Intersection point"centre of rotation$
6erpendicularbisector of AA4
6erpendicularbisector of 554
8/10/2019 4. Transformation Dan Statistik
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Module PMR
2. &he constant ratio is )non as the scale factor.
3. 7cale factor, ) 8objecttheofsideingcorrespondofLength
imagetheofsideofLength
%. Under an enlargement!
"a$ object and its image are similar"b$ corresponding sides are parallel
'. Example of enlargement!
"a$ Enlargement at the centre / and "b$ Enlargement at thecentre scale factor 2 "+3,2$ and
scale factor 2
1
"c$ Enlargement at the centre & and scalefactor 3
113
0- 2- 4
- 2
2
2 4
- 4
4
x
y
object
imagecentre ofenlargement
/centre ofenlargement
object
imageA
A4
4
54
5
64
94
*4
6
9
*
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#S%RI"IN) A TRAN$OR*ATION
"a$ &ranslation
b
a
Example !
"i$&ranslation
5
3
"b$ *eflection in the line " a&is of reflection $Example!"i$ *eflection in the line A
"c$ *otation through "angle of rotation$ "direction of rotation$ about
"centre of rotation$Example!"i$ *otation through -ocloc)ise about "1,3$
"d$ Enlargement at centre "centre of enlargement$ ith scale factor:::::::Example!"i$ Enlargement at centre / ith scale factor 2.
%ommon #rrors
estion #rrors %orrect Steps
In the diagram belo, A4454;4is the image of A5; in
transformation
8/10/2019 4. Transformation Dan Statistik
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Module PMR
"b$
24
"c$ &ranslation
4
2
(RA T# I*A)# O$ TRANSLATION
115
A4
4
5
;
A
54
;4
2 4 6 8
2
4
6
8
A
2 4 6 8
2
4
6
8
A
2 6
4
6
8
A
2 4 6 8
2
4
6
8
A
2 4 6 8
2
4
6
8
A
2 4 6
2
4
6
8
A
4
6
8A
4
6
8
A4
6
8
A/ TRANSLATION
1) 2) 3)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
&ranslation
2
5 &ranslation
4
4 &ranslation
5
0
&ranslation
4
3
&ranslation
1
6
&ranslation
2
3
&ranslation
0
5
&ranslation
4
1
&ranslation
3
4
STATIN) T# TRANSLATION
116
1) 2) 3)
7) 8) 9)
4) 5) 6)
A
A
A0A0
8/10/2019 4. Transformation Dan Statistik
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Module PMR
"/ ROTATION
(RAIN) T# I*A)# O$ ROTATION
5loc)ise rotation of -o Anticloc)ise rotation of -o
about the point "','$ about the point ",3$
117
A
AA0 A0
A0
A
A
A
A0
A0 A0
4) 5) 6)
7) 8) 9)
i$. ii$.
&ranslation
1
5
8/10/2019 4. Transformation Dan Statistik
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Module PMR
3$ 3$.
118
2 4 6 8
2 4 6 8
2
4
6
8
A
2 4 6 8
2
4
6
8
A
2
4
6
8A
2
4
6
8
A
2
4
6
8
A
2 4 6 8
2
4
6
8
A
1)
2)
1)
2)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(RA T# I*A)# O$ ROTATION
5loc)ise rotation of -o *otation of 10o
about the point "%,3$ about the point "','$
1$.
119
1).
2 4 6 8
2
4
6
8
A
2).
2
4
6
8
A
2
4
6
8
A
2 4 6 8
2
4
6
8A
iii$. iv$..
a)
2).
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#T#R*IN# T# %#NTR# O$ ROTATION
i$. 5loc)ise rotation of -o
120
3).
2 4 6 8
2
4
6
8
A
2
4
6
8
2 4 6 8
2 4 6
8
A
3).
2
4
6
8A
"
%
(
A0
(0
"0
1).
2
4
6
8
A
%"
A0
"0
%0
2).
8/10/2019 4. Transformation Dan Statistik
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Module PMR
"a$5entre of rotation 8 ==== "b$5entre of rotation 8==.....
"c$ 5entre of rotation 8 ==== "d$ 5entre of rotation 8==
121
2 4 6 8
2
4
6
8
A
"
"0
(0
A%0
( %
2 4 6 8
2
4
6
8
A
A0
"
"0
%0
(0
(%
3). 4).
6).
2
4
6
8A
%
"
(
A0
%1
(02
4
6
8
A
"
(
#
%
A0
#0(0
%0 "0
5).
8/10/2019 4. Transformation Dan Statistik
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Module PMR
TO $IN( T# %#NTR# O$ ROTATION
ii$.. Anticloc)ise rotation of -o
1$. 2$.
"a$ 5entre of rotation 8 ==.. "b$ 5entre of rotation 8 ==..
122
2
4
6
8
A0
%0"0
A
"
%
2 4 6 8
2
4
6
8
A
(
"
A0
"0
%0
(0
2 4 6 8%
"0
2 4 6 8
2
4
6
8
A0
"
(
A%
(0 %02
4
6
8
A0
%0
A
"
(%
(0
"082 4 62
4
6
8
2
4
6
8
A0"0
%"
(
A
a)
3).
b)
4).
8/10/2019 4. Transformation Dan Statistik
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Module PMR
"c$ 5entre of rotation 8 ==== "d$ 5entre of rotation 8 ===
%/ R#$L#%TION(RAIN) T# I*A)# O$ R#$L#%TION
123
A
A A
1)
.2) 3)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#T#R*IN# T# A2IS O$ R#$L#%TION
124
A
A
A
A
A
A
5) 6)
7) 8) 9)
J K
K
J
L
M
M
L
J
K
K
J
L
M
M
L
J K K J
L
MM
L
1) 2) 3)
P
4)
P
P
5)
4)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#T#R*IN# T# S%AL# $A%TOR AN( %#NTR# O$ #NLAR)#*#NT
7cale factor 8 ===.. 7cale factor 8 ===..
125
2 4 6 8
2
4
6
8
A
A0
2 4 6 8
2
4
6
8A
A0
7)
2 4 6
2
4
6
8A0
A
8)
2 4 6 8
A0
A
2 4 6 8
(/ #NLAR)#*#NT
2
4
6
8
2
4
6
8
A
A0
8/10/2019 4. Transformation Dan Statistik
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Module PMR
5entre of enlargement 8===. 5entre of enlargement 8 ==
7cale factor 8 ===.. 7cale factor 8 ===.. 5entre of enlargement 8 ===. 5entre of enlargement 8===
126
2 4 6 8
2
4
6
8
A0
A
2 4 6 8
2
4
6
8
A
A0
2 4 6 8
2
4
6
8A
A0
2 4 6 8
2
4
6
8
AA0
7cale factor= 5entre of enlargement=
7cale factor= 5entre of enlargement=
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(RA T# I*A)# O$ #NLAR)#*#NT
i$. 7cale factor 2, about "2,3$ ii$. 7cale factor 3, about "0,%$
127
4
6
8
"4
6
8
"
2 4 6 8
2
4
6
8
A
2 4 6 8
2
4
6
8
A
1) 1)
2) 2)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#S%RI"# A TRANS$OR*ATION
128
A A0
2 4 6 8
2
A
A0
2 4 6
2
4
6
8
A
A0
2
4
6
8
A0
A
2
4
6
8
A0 A
5) 6)
2) 3)
2 4 6 8
2
4
6
8
A0
A
2 4 6 8
2 4 6 8
2
4
6
8
%
2 4 6 8
2
4
6
8
%
3) 3)
&ranslation
23
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(#S%RI"# A TRANS$OR*ATION
129
2 4 6
2
4
6
8 A
A0
2 4 6 8
A
A0
2 4 6 8
2
4
6
8
A
A0
2 4 6 8
2
A
A0
2 4 6 8
2
4
6
8
A0
A
2 4 6
2
4
6
8
A0
A
2
A
A0
11) 12)
2
4
6
8
A0
A
14)
2
4
6
8
A0
A
15)
8) 9)
8/10/2019 4. Transformation Dan Statistik
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Module PMR
(RAIN) %ON)R3#NT 4OL5)ON7tarting from line >?, dra pol(gon @>?B6 hich is congruent to pol(gonA5;E
130
2 4 6 8
2
4
6
8
A
A0
2 4 6 8
2
4
6
8A
A0
17)
2 4 6
2
4
6
8
A0 A
18)
A
B
D
C
E
"1$F
J
K
"2$ A
J
K
B
CD
E
F
K
J
A"3$
E
F
D
CB
"%$
K
A
F
E
B
CD
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Module PMR
4*R past 6ear 7estions
899:
1$. In ;iagram 2, 64 is the image of 6 under transformation ;.
;escribe in full transformation ;. C 2 marks DAnswer :
2$. ;iagram 3 in the anser space shos pol(gon ? and straight line 69dran on a grid of eual suares. 7tarting from line 69, dra pol(gon
7&UFG hich is congruent to pol(gon ?.
131
y
1242 8 10
4
2
6
0
10
8
12
6x
P
P
"'$
J
K
A
B C
DE
F
"$
K
A
B
J
CDE
F
8/10/2019 4. Transformation Dan Statistik
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Module PMR
C 2 marks D
8994
?44
@>
?
6
8/10/2019 4. Transformation Dan Statistik
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Module PMR
899?
-$. &ransformation < is a reflection in thex+axis
1$. 11$.
%A4T#R ? STATISTI%S
1.1 (ataJ a collection of information or facts.;ata can be collected b( J 5ounting, easuring, /bservation, Intervie or9uestionnaires. &he data collected should be recorded in reuenc( &ableb( using a tall( chart. A tall( chart shon belo !
eg 1 ! Tall6 %hart
ar) &all( ar)s
%0
'3
'2
148
A
5
;
6
54
;4
A4
4A
5;
E
8/10/2019 4. Transformation Dan Statistik
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Module PMR
1.2 $re7enc6J the number of times a certain number, measurement, scoreor item occurs. reuenc( can be easil( obtained b( using a tall( chartshon b( eg 1 and a freuenc( table is used to organiHe a set of data.&he freuenc( table can be constructed either verticall( or horiHontall( that
shon belo.
eg 2 ! $re7enc6 Ta'le
ar) reuenc(
%0 '
'3
%
' '
2 3
1.3 The !a6s to represent and interpret data
A. 4ictograms + represents data in the form of a picture diagram, use a picture or a
s(mbol that is easil( understood.
eg 3 !
roup A
roup
roup 5
represents 1 students
. "ar %harts + represents data using vertical or horiHontal bars. It is a freuenc(
diagram using rectangles of eual idth.
eg % !
149
ar) 48 53 60 65 72reuenc( 5 7 4 5 3
8/10/2019 4. Transformation Dan Statistik
42/81
Module PMR
Nm'er of
%lassrooms
School
&7*96
1.
1%.
12.
1..
0.
.
%.
2.
.
+ A dual bar chart can be constructed to represent to sets of data in thesame chart b( using separate bars or single bar.
eg ' !
Nm'er of%lassrooms
School
R+4
@99
?9
=9
:9
89
9
5. Line )raphs + used to represent changes in data over a period of time. &he data is
first represented b( points. &hen line segments are dran to join thepoints.
eg !
;. 4ie chart+ a circle, divided into sectors of various siHes, used for illustration and
comparison of different categories of data.
or a uantit( 6, the angle of the sector representing 6 is
150
MDays
20
40
60
80
100
Sa
le
ofcocola!e
ca"es
0 # $ # % S S
1%.
Nm'er of
%lassrooms
School
*96
12.
1..
0.
.
%.
2.
.
8/10/2019 4. Transformation Dan Statistik
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Module PMR
Angle of sector B%&e'ecy of *
360#o!al f&e'ecy
B %&e'ecy of * 360
eg ! &(pe of ood 7old in A ;a(
1.% *ode, *edian and *ean.
A *odeJ the value or item hich occurs most freuentl( or highestfre7enc6. &he mode can determine from a given set of data, afreuenc( table, a pictogram, a bar chart, a line graph or pie chart.
eg0 ! , %, 3, %, 0, , ', %, 3
mode 8 % " freuenc(83 $
*edianJ the middle value hen all the data are arranged in an increasing or
decreasing order. If the number of values is odd, then the median isthe middle value. If the number of values is even, then the medianis the mean of the to middle values.
eg -a ! 1g, 12g, 10g, 1g, 1g 1, 1, 12, 1, 10
edian 8 12g
eg -b ! 1, 12, 10, 1, 1,1% 1, 1, 12, 1%, 1, 10
edian 8 "12K1%$ L 2 8 13
eg -c !
7core 1 2 3 % '
reuenc
(
% 1 3
&otal freuenc( 8 %KKK1K3 8 21edian 8 Bumber of the 11thscore
8 3eg -d !
7core 1 2 3 % '
reuenc(
% 3
&otal freuenc( 8 %KKKK3 8 2edian 8 Bumber of the 1thand 11thscore
82
32+ 82
5 8 2.'
151
40o60
o
140o
%&ie+ ,oo+le
&&y
,oo+le
%&ie+ ice
,oo+le
So/
8/10/2019 4. Transformation Dan Statistik
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Module PMR
5 *eanJ is the arithmetic average of a set of data.
ean 8 sum of all the values of data total number of data
eg 1a ! ', 2, , 3, %, , ', 2, 3
mean 89
325643625 ++++++++
89
368 4
eg 1b !
6rice "*$ 1' 2 2' 3 3'
reuenc( 3 % 2 % 3
ean 834243
)335())430()225()420()315(
++++++++
816
105120508045 ++++
816
4008 M25
#&le @
;a( on &ue Ged &huAbsentees 1 12 13
&he freuenc( table shos thenumber of absentees on fourparticular school da(s. ased on theinformation given, find
a$ the da( ith the highest numberof absentees.
Solutiona$ &hursda(
b$ the da( ith the loest number ofabsentees.
Solutionb$ &uesda(
#&ercise @
rade A 5 ; Ereuenc( 3 0 1% -
&he table shos the distribution ofgrades obtained b( % students inthe 6*.a$
8/10/2019 4. Transformation Dan Statistik
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Module PMR
2
21
22
23
2%
*epresents 2 tourist
&he pictogram above shos the number of tourist to an island resort from1--- to 2%.
a$ Ghich (ear had the highest number of touristM
Solution :a$ Near 2%
b$ ind the total number of tourist for the to (ears hich had the samenumber of tourist.
Solution :b$ &he to (ears ere 2 and 22.
&otal number of tourists for 2 and 228 2"1x2$8 %
c$ Ghat as the total number of tourists for the six (earsM
Solution :c$ &otal number of s(mbols
8 0K1K-K1K%K1%8 ''&otal number of tourists 8 '' x 2
8 11
d$ If each tourist spent an average of * during their sta(, calculate thetotal amount of mone( spent b( tourist on the island in 21.
Solution :d$ Bumber of tourists in 21 8 - x 2
8 10 Amount spent 8 10 x
8 * 1 0 #&ercise 8
onda(
&uesda(
153
8/10/2019 4. Transformation Dan Statistik
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Module PMR
Gednesda(
&hursda(
rida(
*epresents bols
&he pictogram shos the number of the bols of noodles sold in a schoolcanteen from onda( to rida(.
a$ Ghich da( has the highest salesM
b$ If the profit from each bol of noodles sold is *.2, find the total profit
for the five da(s.
c$ ind the difference in the profits obtained from the sales on onda( andrida(.
#&le C 7ales igures of Gatches for ive7hops
Shop
Nm'erof!atches
Sales $igres of atches for $ive Shops
#(%"A
8/10/2019 4. Transformation Dan Statistik
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Module PMR
a$ ;ifference 8 %' + 1' 8 2' atches
b$ If 7hop E had an increase insales of 2O the folloing month,
hile 7hop A sold 3 feeratches, hat as the total salesfor the to shopsM
Solution :b$ 7hop E !
12O of % 8 %0 atches
7hop A !2' J 3 8 22 atches
&otal sales for the to shops8 %0 K 228 atches
c$ If the average value of a atchas *1', calculate the totalvalue of the atches sold b( allfive shops in ;ecember.
Solution :c$ &otal number of atches
8 2'K 1'K %'K 32'K %8 1 atches
&otal value 8 1 x 1' 8 *2%
&he horiHontal bar chart above
shos the sales of an ice creamvendor for six da(s.
a$ /n hich da( did he sell themost ice creamM
b$
8/10/2019 4. Transformation Dan Statistik
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Module PMR
Timesec/
*agesh1s "est :99 m Times
899:899C8998899@8999@DDD
8/10/2019 4. Transformation Dan Statistik
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Module PMR
mil)
chocolatecof fee
te a
All the orm 3 students too) part in asurve( on their favourite hot drin)s.&he results ere shon in the pie
chart above.
a$ Ghich drin) as least preferredb( the orm 3 studentsM
Solutions :a$ il) as least preferred b( orm
3 students.
b$ Ghich as the most populardrin) among the orm 3
studentsM
Solutions :&ea as the most popular drin)among the students.
c$
8/10/2019 4. Transformation Dan Statistik
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Module PMR
r 7ong bought a bas)et ofatermelons ith *1'.
8/10/2019 4. Transformation Dan Statistik
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Module PMR
1. /btaining information from a pictogram.
roup A
roup
*epresent ' students
#rrors&otal numbers of students8 %K8 1
%orrect Steps&otal numbers of students8 " %K$ x '8 1 x ' 8 '
2. Error in determining the mode in a freuenc( table.
ar)s 1 2 3 :reuenc(
3 % 3 1 '
#rrors&he mode is 3.&he mode is '.
%orrect Steps&he mode is %.
3. Error in determining the median of a set data.#rrors', 2, %, 0, 2, 3, 1 "data not rearrangein order$edian 8 0
%orrect Steps1, 2, 2, 3, %, ', 0edian 8 3
%.
Salar6 Less thanR*@999
R*@99@ to
R*@
8/10/2019 4. Transformation Dan Statistik
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Module PMR
#rrors&otal number of non+fiction boo)ssold8 1 K 13 K 1 K 118 %%
%orrect Steps&otal number of non+fiction boo)ssold8 K 0 K K -8 3
'. &he table shos the distribution of the scores obtained in tossing a dice 3times. ind the mean score of each toss.
7core 1 2 3 % '
reuenc( ' % 0 3 %
#rrors
ean 8438645
654321
++++++++++
8 .
%orrect Stepsean 8
438645
)4(6)3(5)8(4)6(3)4(2)5(1
+++++
+++++
8 3.%
#&tra #&ercise
@ *ode a. 2 g, ' g, 3 g, g, ' g,
% g, 3 g, g, ' g, g,' g, g
ode 8 ::::: g
b. 1' mm, 10 mm, 12 mm, 13 mm, 1'mm,1 mm, 12 mm, 1mm, 1' mm, 13 mm,1% mm, 1' mm
ode 8 :::::: mm
c. %, ', , 2, 1, %, , , ',
ode 8
d.
Bumber of matches pla(ed 1 2 3 % '
reuenc(1 % 3 2 3
ode 8 :::::::matches
e.
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Module PMR
f.
Bumber /f goals 1 2 3 %
reuenc( 2 ' % %
ode 8 goals
8. *edian
a. %, 2, ', %, , 2, 1
edian 8
b. -, 2, , 1, 0, -,
edian 8
c. 2)g, %)g, 1)g, ')g, %)g, 2)g
edian 8
d. 3m, 1m, 3m, 1m, %m
edian 8
e.
Bumber /f goals 1 2 3 %
reuenc( 1 ' % % 3
&otal freuenc( 8 1 K ' K % K % K 3 8edian 8 Bumber of goals of the ::: th reuenc(
8 goalsf.
rade A 5 ; E
Bumbers of students 12 - 0 11
&otal freuenc( 8 K 12 K - K 0 K 11 8
edian 8
C. *ean Ha. 21, 3, 2', 2, 31, 3%
ean 8
b. ,% , ,0 ,' , , '
ean 8
c.
ass "g$ ' 0
reuenc( ' 2
ean 8
161
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Module PMR
%. &he pictogram in ;iagram belo shos the number of durians sold b(three fruits sellers. 5alculate the total number of durians sold b( three ofthem.
7amad5hong
uthu
represents 1 durians
'.
&he line graph shos the sale of chocolate ca)es in a ee). ind thedifference beteen the highest sales and the loest sales in the ee).
.
9 (a6
$riThredTes*o n
@9
89
C9
:9
9
&he line graph shos the number of cars par)ed at @eti ?umut over a
period of five da(s. Each car is charged * 0 per da(. Ghat is the totalcollection for the five da(sM
2 1 3 % 0 0 ' %' % 3 1 2 1 1 % 2 %
&he data shos the scores obtained b( 2 pupils in a game.
a$ ( using the data given, complete the folloing table.
7core 1 2 3 % ' 0
reuenc(
b$ 7tate the mode
162
MDays
20
4060
80
100
Sale
ofcoco
la!e
ca"es
0 # $ # % S S
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Module PMR
0. &he mean of ', (, 2(, 3(, 12,12, 1', 2 is 11. ind the value of (.
-. 5alculate the difference beteen mean and median of the numbers
', 11, 2, 23, 1', -, 3, 10.
1. ind the difference beteen mode and median of the numbers%, 3, ', -, -, -, 3, , -.
11. iven that the mean of 3, ', 1, 2, x, 1', ( is 0, find the value of xK(.
12. &he pie chart shos the number of coloured balls in a store.
5alculate the angle of the sector hich represents blac) balls.
13. ;iagram belo is a line graph hich shos the number of residents in aton from 1-- to 2%.
a$ ;uring hich (ear did the number of residents increase the mostM
b$
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Module PMR
estions 'ased on 4*R $ormat
@. &he pictogram belo shos the number of cars sold b( 7(ari)at aju@a(a from (ear 2% to 2.
899:
899
Represents ampung.
b$ ind the percentage of female to the hole populationM
166
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Module PMR
>.
%lass Raden *a6ang "ahagia Adil Fr IGlas
%ollectionR*/ 899 C99
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Module PMR
D.
899@
8998
899C
899:
899