Folio Addictional Mathematics

Project Work 2013

Questions 2

Name:Yeoh Zheng Da

I/C No:961214-07-5351

Class:5SB

Angka Giliran:PD020A079

School:SMJK PHOR TAY

Teacher: Mr. Lau Hong Keng

Date:9-7-2013

AcknowledgementFirst of all, I would like to express my special thanks of gratitude to

my teacher Mr.Lau Hong Keng as well as our principal Pn. Chan Bee Chu who

gave me the golden opportunity to do this wonderful project

which also helped me in doing a lot of research and I came to know about so

many new things. I am really thankful to them.

Secondly I would also like to thank my parents and friends who

helped me a lot in finishing this project within the limited time.

I am making this project not only for marks but also to increase my

knowledge .

THANKS AGAIN TO ALL WHO HELPED ME.

ContentsNo.ContentPage

1Introduction

2Aim

3Objective

4Activity 1:Collecting information

5Activity 2:Data Analysis

6Activity 3:Interpretation of Data

7Activity 4:Further Exploration

8Activity 5:Conclusions

9Reflection

IntroductionObesity can lead to various health problems.My school has decided to carry out a Healthy Lifestyles Campaign with the aim to create awareness among students about obesity-related health problems.The Body Mass Index (BMI) gives an indication of the physical state of a person as being underweight,normal,overweight or obese.BMI can be calculated by using the following formula:

BMI=

weight(kg)

___________________

height(m)xheight(m)

AIMThe aim of this project is to investigate the relationship between height,weight and BMI with student's health condition.

ObjectivesAt the end of the project,I will be able to

1. Collect data on the heights and weights of students.

2. Calculate the BMI of each student.

3. Represent data using various methods.

4. Relate students' knowledge with the data obtained.

5. Suggest ways to practice healthy lifestyle.Activity 1:Collecting informationThe heights, weights and BMI of F1 and F5 students.Form 1No.NameHeight (m)Weight (kg)BMI (1 d.p.)

1Ali Muhammad Safir1.5849.019.6

2Eswari a/p Arumugam1.5545.018.7

3Gillian Teoh Wei Ying1.5048.021.3

4Mark Andrew1.5350.021.4

5Ellen Anderson1.5247.020.3

6Chan Chia Chin1.5351.021.8

7Keley Cuocuo1.5955.021.8

8Lim Tang Yao1.5243.018.6

9TJ Tanner1.5544.018.3

10Tan Wei Yin1.5250.021.6

11Yeoh Yee Lye1.5480.033.7

12Lim Swee Jie1.5549.020.4

13Tham Joe Jie1.5462.026.1

14Tiona Joe1.5550.020.8

15Tang Chia Yun1.5345.019.2

16Teoh Yi Teng1.5247.020.3

17Tan Si Jie1.5344.018.8

18Dewa Kumari a/p Rajoo1.6154.020.8

19Lim May Shan1.5849.019.6

20Daymod Song1.5253.022.9

21Teh Wei Loon1.5148.021.1

22Michelle Yeoh1.5245.019.5

23Tan Guo Xun1.5246.019.9

24Yong Jie Lyn1.6552.019.1

25Cody Meyer1.5847.018.8

26Yeap Kean Chuan1.6754.019.4

27Yeap Hui Jin1.6756.020.1

28Chew Shi Jie1.5143.018.9

29Aaron Koe1.6253.020.2

30Tang Xin Yun1.5748.019.5

31Muthu Devi1.5459.024.9

32Kesavang1.5855.022.0

33Ong Yee Ching1.5550.020.8

34Hanilang1.4565.030.9

35Krishnavenee1.5250.021.6

36Deshini1.5348.020.5

37Daphne Hooi1.6748.017.2

38Alfrell Tang1.6550.018.4

39Lim Yong Sheng1.6252.019.8

40Loke Chun Hao1.6055.021.5

41Tang Te Ken1.5656.023.0

42Chuah Wen Rong1.5145.019.7

43Kaviprian1.5855.022.0

44Ham Kok Chun1.5756.022.7

45Lee Jing Yuan1.6954.018.9

46Lim Shu Teng1.5553.022.1

47Low Yee Feng 1.6565.023.9

48Low Yee Chin 1.5952.020.6

49Low Yee Heng1.5249.021.2

50Ling Xi1.5468.028.7

Table 1Form 5No.NameHeight (m)Weight (kg)BMI (1 d.p.)

1Shafikah1.6760.017.2

2Nur Hani1.6551.018.7

3Nur Azni1.6556.020.5

4Arvil Lavigne1.6858.020.5

5Bella Swan1.6249.018.7

6Balak1.8158.017.1

7Khausheleia1.6464.023.8

8Melvin Ong1.6955.019.3

9Victoria Song Qian1.6556.020.6

10Lim Zi Liang1.6958.020.3

11Krystal Joong1.6260.022.9

12Luna Kim1.87107.030.6

13Ch'ng Xin Ni1.6754.019.4

14Ooi Ch'ng Yi1.6452.019.3

15Tan Han Jie1.6795.034.1

16Tang Chiang Er1.6570.025.7

17Wong Hong Yoag1.7058.020.1

18Bryan Yeoh 1.7257.019.3

19Chew Woan Shin1.7058.020.1

20Raksana a/p Shanmuganathan1.6570.025.7

21Chin Min Ming1.6255.021.0

22Tang Kah Koon1.6580.029.4

23Kishan Kumar1.758.020.1

24Pavitraa1.6159.022.8

25Edmund Teoh Yi Men1.6359.022.2

26Lim Yen Fen1.6250.019.1

27Yeap Mun Teng1.5850.020.0

28Choo Zhao Hooi1.7160.020.5

29Tan Joon Huang1.7555.018.0

30Tan Wei Quan1.6856.019.8

31Gan Leong Sitt1.6770.025.1

32Aeden Garret1.6455.020.4

33Moveyndran1.686021.3

34Oon Chun Kai1.6579.029.0

35 Samuel Tan1.7065.022.5

36Clarice Leah1.5852.020.8

37Joey Ong1.6855.019.5

38 Tan Jiayng1.6552.019.1

39Nur Afiqah Farzanah1.6251.019.4

40Vanessa Lim1.6051.019.9

41Ong Soon Sing1.6756.019.0

42Curtis Ong1.5450.021.1

43Lim Fung Xiang1.6460.022.3

44Shakar1.6580.029.4

45Ooi Jia Yu1.6350.018.8

46Aaron Abines1.6170.027.0

47Ooi Tiat Keng1.6975.026.3

48Feona Merie1.6555.020.2

49Samantha1.6950.017.5

50Tan Wei Jie1.656423.5

Activity 2:Data AnalysisBMI

(Class interval)Number of students in Form 1Number of students in Form 5

17.0 19.91918

20.0 22.92420

23.0 25.935

26.0 28.922

29.0 31.914

32.0 34.911

Table 3(IV)Mean,Mode and Median of Form 1 studentsBMI

(midpoint, x)Number of students in Form 1, ff x

18.4519350.55

21.4524514.80

24.45373.35

27.45254.90

30.45130.45

33.45133.45

f x = 1057.50

mean, x= 1057.50

------------

50 =21.15

BMI

(Class interval)Class boundariesNumber of students in Form 1

17.0 19.916.95 19.9519

20.0 22.919.95 22.9524

23.0 25.922.95 25.953

26.0 28.925.95 28.952

29.0 31.928.95 31.951

32.0 34.931.95 34.951

From the histogram

mode = 20.55

BMI

(Class interval)Number of students in Form 1Cumulative frequency

17.0 19.919(19)

20.0 22.9(24)43

23.0 25.9346

26.0 28.9248

29.0 31.9149

32.0 34.9150

median class = T

= T25

= 20.0 22.9

median=

= 19.5+(0.25x3)

=20.70

BMI of From 1 Students

MeanModeMedian

21.1520.5520.70

The mean,mode and median of Form 5 studentsBMI

(midpoint, x)Number of students in Form 5,f(No. of students in Form 5, f)

X (x)

18.4518332.10

21.4520429.00

24.455122.25

27.45254.90

30.454121.80

33.45133.45

f x = 1093.50

mean, x= 1093.50

----------

50

= 21.87

BMI

(Class interval)Class boundariesNumber of students in Form 5

17.0 19.916.95 19.9518

20.0 22.919.95 22.9520

23.0 25.922.95 25.955

26.0 28.925.95 28.952

29.0 31.928.95 31.954

32.0 34.931.95 34.951

From the histogram,

mode = 20.34

BMI

(Class interval)Number of students in Form 5Cumulative frequency

17.0 19.918(18)

20.0 22.9(20)38

23.0 25.9543

26.0 28.9245

29.0 31.9449

32.0 34.9150

median class = T

= T25

= 20.0 22.9

median =

= 19.95+(0.35x3)

=21.00

BMI of Form 5 Students

MeanModeMedian

21.8720.3421.00

(v)Central tendencyThe most suitable of central tendency to represent the data is mean. It is because continuous values such as height, weight and BMI are suitable for using the mean. Mean is an averaged value, not depending on the order of the data. It should lie in the range of the data, neither less than the smallest value nor greater than the largest one. Based on the mean value of BMIs, 2.15 for Form 1 students and 21.87 for Form 5 students, those students have normal weight status since generally BMI values of 18.5 to 24.5 for students Form 1 and Form 5 are considered healthy and no medications are needed for weight control. The mean value of BMIs stated above are less than the maximum value of BMIs 30 and greater than the minimum value 19.0.(Vi)Variance and standard deviation of the BMI for Form 1 and Form 5 students.Form 1BMI

(Class interval)BMI

(midpoint, x )ff xf x 2

17.0 19.918.4519350.556467.65

20.0 22.921.4524514.8011042.46

23.0 25.924.45373.351793.41

26.0 28.927.45254.901507.01

29.0 31.930.45130.45927.20

32.0 34.933.45133.451118.90

f = 50 f x = 1057.50 f x2 = 22856.63

Variance, 2 =

Variance, 2 = 2285.63

-------------- - (447.3225)

50

= 9.81

Standard deviation , =

Standard deviation, = 3.13

Form5BMI

(Class interval)BMI

(midpoint, x )ff xf x 2

17.0 19.918.4518332.106127.25

20.0 22.921.4520429.009202.05

23.0 25.924.455122.252989.01

26.0 28.927.45254.901507.01

29.0 31.930.454121.803708.81

32.0 34.933.45133.451118.90

f = 50 f x = 1093.50 f x2 = 24653.03

Variance, 2 =

Variance, 2 = 24653.03

---------------- - (478.2969)

50

= 14.76

Standard deviation , =

Standard deviation, = 3.84Activity 3:Interpretation of DataBased on the values of the standard deviation obtained,the smaller the value of standard deviation, the closer it is to the mean value. Form 1 students have a lower standard deviation value compared to Form 5 students, implying a small difference in the BMI between the students of the two classes. Hence, the Form 1 students are expected to have a more consistent BMI compared to the Form 5 class.

Activity 4:Further ExplorationBody Mass Index (BMI) reflects the physical state of a person as underweight, normal, overweight or obese.

Table 4 shows the BMI and the physical state of a person based on the BMI.BMICategory

Below 18.5Underweight

18.5 - 24.9Normal weight

25 - 25.9Overweight

30 and aboveObese

Table 4

(a) Frequency distribution tableBMICategoryNumber of students in Form 1Number of students in Form 5

Below 18.5Underweight34

18.5 - 24.9Normal weight4336

25 - 25.9Overweight28

30 and aboveObese22

(b)According to a research done by Malaysian Association for the Study of Obesity (MASO) in 2011, 60% of Malaysian citizens are identified as obese in their early childhood. As a student, the steps that I can take to avoid problems due to obesity are as follow : I should have an hour of moderate physical activity most days of the week. More than an hour of activity may promote weight loss and subsequent maintenance.

Reduce time in front of the TV and computer to less than two hours a day.

Encourage to eat only when hungry, and to eat slowly.

Avoid using food as a reward or withholding food as a punishment.Keep the refrigerator stocked with fat-free or low-fat milk and fresh fruit and vegetables instead of soft drinks and snacks high in sugar and fat.

Activity 5:ConclusionsBased on the finding of my investigation,

a)Three reasons why students are at high risk to be unhealthy. sleep late or do not have enough sleep.

A lot of pressure from competition in school and expectations from parents.

Spending hours sitting in front of the computer and television .

Eating to much of fast food.

Lazy to take up sports.

b)Suggest three healthy lifestyles to lessen the risk.

Get enough sleep and try to sleep early before10.00p.m.

Start practicing exercise regularly.

Reduce the time sitting in front of television and computer

or adding a few take five in between if you needed to use computer for a long time.

Eat according food pyramid and avoid consume food that contains a lot of oil and sugar.

If you facing stress try not to stress yourself more by doing some activity that can distract you from your stress exercise is the best option.

c)Describe the role that you can play to make the Healthy Lifestyles Campaign a success.

To make this campaign success I will start practicing healthy lifestyles act as an role model to others and suggesting ways to live a healthy life to other person.I will also obey all healthy lifestyles that the campaign suggested and calculating the calories needed for a balanced diet.Last but not least, I will aware towards to my health to show support to this campaign.

Reflection1.What have you learned while doing the addictional mathematics project work?While doing the Additional Mathematics project work, I have learned how to collect data on the heights and weights of students, how to calculate the BMI of each student and represent the data by using various methods, the way to relate students knowledge with the data obtained and also to suggest ways to practice healthy lifestyle.

2.List out several moral values that you practice when doing this project.

This project had taught me to be more responsible on the assignment that has been given to me. This project has taught me the spirit of never giving up even though the problems I face seems to be very hard. I have also learned to manage my time well. Although I have a lot of homework, I managed to complete this project on time.I have also learned to be more discipline on time, which I was given about two weeks to complete this project. I also enjoyed doing this project together with my friends and it had made our friendships closer.I proposed this project work should be continue because it brings a lot of moral values to students and also helps students to understand the real value of Additional Mathematics.