8/10/2019 179531249 Stpm Mathematics Paper 3 Sem3 2013 Pen Smjk
Jit Sin
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ONFIDENTIALuntiltheexaminatio
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4
SectionB[15marks]
An
sweranyone
questioninthissection.
7.Thetime,inminu
te,spentby130studentstocompleteanassignmentisgiven
inthefollowingc
umulativefrequencytable.
Time,x(minutes)
Cumulativefrequency
x
0
0
x
30
20
x
60
39
x
90
52
x
120
100
x
150
130
(a)Plotahistogramforthedataabove.
[3marks]
(b)Statethemodalc
lassandcalculatethemodeforthetime.
[3marks]
(c)Calculatethemeanandmedianforthetime
[5marks]
(d)CalculatethePearsonscoefficientofskewness.Hence,statewithreason,
whichoftheabov
emeasureofcentraltendencybetterdescribesthe
distributionofthe
data.
[4marks]
8.Thefollowingsteman
dleafplotshowsthemarksobtainedbyagroupofstudents
inacertainschool.
Key:9
1means91marks
(a)Findthemean,standarddeviationofstudentsmarks.
[5marks]
(b)Findthemedianan
dsemi-interquartilerangeofthestudentsmarks.
[5marks]
(c)Constructaboxan
dwhiskerplotforthedataabove.Hence,commentonthe
distributionofthedataandgiveareason.
[5marks]
S
tem
Leaf
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1
4
0
2
3
7
9
1
2
2
6
8
1
3
3
4
0
2
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