PUSAT TUISYEN SKOR MINDA
KERTAS PROJECT MATEMATIK TAMBAHAN 2013
Activity 1: Collecting Information
Form 1
No.
Name
Height (m)
Weight (kg)
BMI (1decimal place)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
Jeremy Tam
Shin Mei Zhi
Tang Ai
Kavatri
Kovtitra
Anitha
Hemathra
Yusri
Balla
Bella
Peter Tan
Kimshi
Kardashin
Balari
Herekah
Balari
Pavaitran
Bala
Low Tai Heng
Low Ah Keng
Lim Ah Kau
Histry
Bombastic
Jon
Junny
Grace
Indiana Jones
Pathman
Jenny
Chee Kun
Holaris
Manisha
Jacobs
Skor Minda.com
Hemetri
Fitri
Hotary
1.44
1.34
1.56
1.55
1.28
1.34
1.30
1.35
1.38
1.42
1.39
1.46
1.44
1.50
1.52
1.53
1.47
1.48
1.49
1.49
1.50
1.50
1.51
1.51
1.52
1.53
1.53
1.30
1.39
1.28
1.28
1.32
1.44
1.45
1.44
1.46
1.48
35.4
32.3
30.4
44.0
36.0
44.6
37.5
42.4
43.7
45.0
46.3
47.6
48.9
50.2
51.5
35.4
32.3
30.4
44.0
36.0
44.6
37.5
42.4
43.7
45.0
46.3
47.6
48.9
33.4
39.9
29.6
28.4
30.4
44.0
36.0
44.6
37.5
17.1
18.0
12.5
18.3
22.0
24.8
22.2
23.3
22.9
22.3
24.0
22.3
23.6
22.3
22.3
15.1
14.9
13.9
19.9
16.2
19.9
16.6
18.6
19.0
19.5
19.9
20.3
28.9
17.3
24.4
18.1
16.3
14.7
20.9
17.5
21.0
17.2
38
39
40
41
42
Tay Lye Chin
Sim Ah Min
Lo Kam Seng
Lim Choon Peng
Peng Joon
1.50
1.52
1.54
1.30
1.39
42.4
43.7
45.0
30.0
33.0
18.9
18.9
18.9
17.8
17.1
43
44
45
46
47
48
49
50
Sunitha
Peng Kam
Peng Hin
Karl
Balanar
Sunnyy Tam
Jessica Lo
Ming Ti
1.28
1.28
1.32
1.44
1.38
1.40
1.41
1.43
35.5
36.5
40.6
50.5
28.2
34.5
39.1
36.4
21.7
22.3
23.3
24.4
14.7
17.7
19.6
17.9
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PUSAT TUISYEN SKOR MINDA
Form 5
No.
Name
Height (m)
Weight (kg)
BMI (1decimal place)
1
2
Lim Ah Kong
Lim Ah Tu
1.53
1.64
50.4
48.5
21.5
18.0
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Lim Ah Man
Lim Ah Girl
Lim Ki Ty
Tan Ah Hi
Tan Ah Mi
Tan Ah Bi
Tan Ah Him
Tan Ah Girl
Ho Kah Hoe
Ho Kah Mo
Jessica Simpsom
Britney Spear
Jessical Alba
Modonna
Hillary Duff
Chitianna Perri
Hot Cilli Padi
Bellery Tan
Arif
Kamis
Abu
Ali
Razi
Ibrahim
Yunus
Rizal
Bellery Kim
Monacco
Paris Hilton
Madagascar
Low Ah Peng
Siti
Cecilia Kew
Carine
Palavanial
Sisha
Marissa
Jack
Tommy
Patricia
Hilari
Jamie Tan
Pandrima
Indiaka
Ballani
Lingitha
Kavari
Mythili
1.55
1.58
1.72
1.6
1.74
1.76
1.56
1.49
1.48
1.66
1.59
1.5
1.75
1.6
1.74
1.76
1.56
1.49
1.53
1.64
1.55
1.58
1.72
1.76
1.56
1.49
1.48
1.66
1.53
1.64
1.55
1.58
1.72
1.64
1.55
1.58
1.72
1.61
1.63
1.72
1.70
1.50
1.53
1.64
1.55
1.58
1.72
1.76
55.4
60.0
48.5
52.4
51.1
53.2
54.6
48.9
50.8
50.5
51.2
51.0
50.9
50.8
50.6
50.5
50.4
50.2
50.1
50.0
49.8
49.7
49.6
49.4
49.3
49.2
49.0
48.9
48.8
48.6
48.5
48.4
48.2
48.1
48.0
47.9
47.7
47.6
47.5
47.3
47.2
47.1
46.9
46.8
46.7
46.5
46.4
46.3
23.1
24.0
16.4
20.5
16.9
17.2
22.4
22.0
23.2
18.3
20.2
22.7
16.6
19.8
16.7
16.3
20.7
22.6
21.4
18.6
20.7
19.9
16.8
16.0
20.3
22.2
22.4
17.7
20.8
18.1
20.2
19.4
16.3
17.9
20.0
19.2
16.1
18.4
17.9
16.0
16.3
20.9
20.0
17.4
19.4
18.6
15.7
14.9
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PUSAT TUISYEN SKOR MINDA
Activity 2: Data Analysis
b)
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 1
5
12
15
13
4
1
Number of students in Form 5
1
17
21
10
1
0
iv.
Form 1 (Mode, Mean & Median)
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 1 ,f
5
12
15
13
4
1
𝛴𝑓 = 50
𝛴𝑓𝑥 = 978.5
𝑀𝑒𝑎𝑛 =
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Mid Point , x
13.45
16.45
19.45
22.45
25.45
28.45
𝛴𝑓𝑥 978.5
=
= 19.57
𝛴𝑓
50
fx
67.25
197.4
291.75
291.85
101.8
28.45
PUSAT TUISYEN SKOR MINDA
Mode= 19.75
Median
1
𝑁−𝐹
𝑀𝑒𝑑𝑖𝑎𝑛 = 𝐿 + (2
)𝐶
𝑓𝑚
BMI (Class Interval) Number of students in Form 1 ,f
12.0 - 14.9
5
15.0 - 17.9
12
18.0 - 20.9
15
21.0 -23 .9
13
24.0 - 26.9
4
27.0 - 29.9
1
The shaded region shows the Median Position
1
1
Position = 2 𝑁 𝑡ℎ = 2 × 50𝑡ℎ = 25𝑡ℎ
1
𝑁−𝐹
𝑀𝑒𝑑𝑖𝑎𝑛 = 𝐿 + (2
)𝐶
𝑓𝑚
𝑀𝑒𝑑𝑖𝑎𝑛 = 17.95 + (
25 − 17
) 3 = 19.55
15
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Lower
Boundary
11.95
14.95
17.95
20.95
23.95
26.95
C. Frequency
5
17
32
45
49
50
PUSAT TUISYEN SKOR MINDA
Form 5 (Mode, Mean & Median)
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 5
1
17
21
10
1
0
Mid Point , x
13.45
16.45
19.45
22.45
25.45
28.45
𝛴𝑓 = 50
𝛴𝑓𝑥 = 951.5
𝑀𝑒𝑎𝑛 =
𝛴𝑓𝑥 951.5
=
= 19.03
𝛴𝑓
50
Mode 18.85
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fx
13.45
279.65
408.45
224.5
25.45
0
PUSAT TUISYEN SKOR MINDA
Median
1
𝑁−𝐹
𝑀𝑒𝑑𝑖𝑎𝑛 = 𝐿 + (2
)𝐶
𝑓𝑚
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 5
1
17
21
10
1
0
Lower
Boundary
11.95
14.95
17.95
20.95
23.95
26.95
C. Frequency
1
18
39
49
50
50
The shaded region shows the Median Position
1
2
1
2
Position = 𝑁 𝑡ℎ = × 50𝑡ℎ = 25𝑡ℎ
1
𝑁−𝐹
𝑀𝑒𝑑𝑖𝑎𝑛 = 𝐿 + (2
)𝐶
𝑓𝑚
𝑀𝑒𝑑𝑖𝑎𝑛 = 17.95 + (
25 − 18
) 3 = 18.95
21
v)
The data shows a consistency in all the Mode, Median and Mean. This can be further explain by the
value obtain from all the measurement. Personally, Median is a better measurement because it is less
likely be influence by outliers which will affect the measurement.
vi)
Form 1 (Variance and Standard Deviation)
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 1 ,f
5
12
15
13
4
1
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Mid Point , x
13.45
16.45
19.45
22.45
25.45
28.45
fx2
904.51
3247.23
5674.54
6552.03
2590.81
809.40
PUSAT TUISYEN SKOR MINDA
𝑉𝑎𝑟𝑖𝑎𝑛𝑐𝑒 2 =
𝑉𝑎𝑟𝑖𝑎𝑛𝑐𝑒 2 =
𝛴𝑓𝑥 2
− 𝑥̅ 2
𝛴𝑓
19778.53
− 19.572 = 12.5857
50
19778.53
𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝐷𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 = ±√
− 19.572 = ±3.55
50
Form 5 (Variance and Standard Deviation)
BMI (Class Interval)
12.0 - 14.9
15.0 - 17.9
18.0 - 20.9
21.0 -23 .9
24.0 - 26.9
27.0 - 29.9
Number of students in Form 1 ,f
1
17
21
10
1
0
𝑉𝑎𝑟𝑖𝑎𝑛𝑐𝑒 2 =
𝑉𝑎𝑟𝑖𝑎𝑛𝑐𝑒 2 =
Mid Point , x
13.45
16.45
19.45
22.45
25.45
28.45
fx2
180.90
4600.24
7944.35
5040.03
647.70
0.00
𝛴𝑓𝑥 2
− 𝑥̅ 2
𝛴𝑓
18413.23
− 19.032 = 6.1237
50
18413.23
𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝐷𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 = ±√
− 19.032 = ±2.47
50
Activity 3:
Form 1
Standard Deviation:±3.5
Form 5
Standard Deviation: ±2.47
Form 5 students shows a smaller dispersion of value from the mean compared to the Form 1 students.
The Form 1 students showing a dispersion of ±3.5 while Form 5 shows a dispersion of ±2.47 from the
mean.
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PUSAT TUISYEN SKOR MINDA
Activity 4:
FORM 1
BMI
Below 18.5
18.5 – 24.9
25 – 29.9
30 and above
Category
Under weight
Normal weight
Overweight
Obese
Frequency
20
29
1
0
BMI Form 1
35
30
25
20
15
10
5
0
Frequency
FORM 5
BMI
Below 18.5
18.5 – 24.9
25 – 29.9
30 and above
Category
Under weight
Normal weight
Overweight
Obese
Frequency
22
28
0
0
BMI Form 5
30
25
20
15
10
5
0
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Frequency
PUSAT TUISYEN SKOR MINDA
b)
1.
2.
3.
4.
5.
6.
Reduce the intake of fatty food
Regular exercise
Active in sports and co-curriculum
Eat healthy and balance food
Eat food at regular time
Reduce intake of carbohydrates and replace it with fiber
Activity 5:
a) Reason 1: Students today spend too much time on computers and does not go for regular exercise
Reason 2: Consumption of sugar and junk food in school can contribute to obesity
Reason 3: Students today love to eat fatty food such as Nasi Lemak, Nasi Kandar and Roti Canai
b) Suggestion 1: Should be actively involves in sports
Suggestion 2: Reduce the intake of sugar and oily food such as Coca Cola, Pepsi or Nasi Lemak
Suggestion 3: Eat only when you are hungry and stay away from late night supper
c) As a student, I can be a role model to the rest. By educating other students and teachers, I am sure
that the campaign will be successful. On top of that, the “Healthy Lifestyle Campaign” must also be
brought to the canteen operators so that they too can cook great and healthy food.
Reflection
1. I have realized that it is important to stay healthy. I have also realized how to prevent from
being underweight, overweight and obese. On top of this, it is important to always exercise and
be actively involves in sports
2. It Is always good to be moderate when comes to eating. Being underweight is bad for our
health. It is important to maintain a balance diet. Being overweight or obese can also lead to
diseases. It is important to understand what is meant by balance diet and being moderate when
comes to food consumption.
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