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7/26/2019 SOALAN 1 BI Kerja Projek Mat Tambahan SPM 2016 (1)(2)
1/4
KERJA PROJEK MATEMATIK TAMBAHAN 2016
QUESTION 1
Introduction
Charting Your Performance
Aim
The aim of this project is to apply the concept of statistics in knowing the students performance in a
test and the difficulty level of the test.
Objective
a) Calculate the mean and standard deviation of the marks of the students.
b) Calculate the composite index of the marks.
PPD Seberang Perai Selatan Page 1
Assessment is an important component in the learning process and promotes learning by
motivating students to improve their performance and academic achievement. Through
assessment a teacher is able to know the performance of students in the test and could
compare the performance of the students in different tests. !nowing the performance of
the students and the level of difficulty of the test can help a teacher to plan his teaching
strategy to improve the students performance. The level of difficulty of the test can also
be adjusted according to the ability of the students. The mean marks and the standard
deviation are usually used to show the performance of the students and level of difficulty
of the test. "esides composite index can also be used to show the students performance
and the level of difficulty of the test.
7/26/2019 SOALAN 1 BI Kerja Projek Mat Tambahan SPM 2016 (1)(2)
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KERJA PROJEK MATEMATIK TAMBAHAN 2016
c) #se the mean mark standard deviation and composite index to compare the students
performance and the difficulty level of different tests.
PA!T 1
$tudents are re%uired to collect marks of a certain subject in the &'( *id +ear and ,inal +ear
examination for ' students,to obtain information of the students achievement and level of difficulty
of a certain subject in two different test.
PA!T "
#sing the marks you have obtained in PA!T 1 calculate the
a) mean mark
b) standard deviation
for each examination.
PA!T #
"ased on the *id +ear -xamination and the ,inal +ear -xamination marks of the students respectively
group the marks according to the grade as shown in the Table (
$rade %ar& 're(uenc)
A /' 0 (''
* 1' 0 12
C 3' 0 32
+ 4 0 2
PPD Seberang Perai Selatan Page 2
7/26/2019 SOALAN 1 BI Kerja Projek Mat Tambahan SPM 2016 (1)(2)
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KERJA PROJEK MATEMATIK TAMBAHAN 2016
E 5' 0 44
' ( 0 &2
$ ' 0 (4
Table (
Calculate the mean and the standard deviation of the marks of the students for each examination.
PA!T ,
a) Table & shows the students grade which is e%uivalent with the index number. ,re%uency is
considered as weightage.
$rade Inde- number
A (
* &
C 5
+ 4
E
' 3
$ 1
Calculate the composite index for the *id +ear -xamination and ,inal +ear -xamination.
b) Construct a comparison table between the *id +ear -xamination and ,inal +ear -xaminationfor the mean standard deviation and the composite index. *ake conclusions from the results
obtained.
PPD Seberang Perai Selatan Page 3
7/26/2019 SOALAN 1 BI Kerja Projek Mat Tambahan SPM 2016 (1)(2)
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KERJA PROJEK MATEMATIK TAMBAHAN 2016
'U!T.E! E/P0O!ATION
i) 6hich examination shows a better achievement of the students7ii) 6hich examination shows the %uestions are more difficult7
iii) 6hich examination shows a bigger range marks of the students7
!E'0ECTION
6hat have you learnt while you were doing the Additional *athematics 8roject 6ork7 6hat moral
values did you practise7 9epresent your opinions or feelings creatively through usage of symbols
illustrations drawings or even in a song.
PPD Seberang Perai Selatan Page 4