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SMK TAMAN RINTING 2, 81750 MASAI, JOHOR BAHRU, JOHOR ADDITIONAL MATHEMATIC PROJECT WORK 2012 NAME : AHMAD RUSYDI BIN ROSLI CLASS : 5 SCIENCE IC NUMBER : 950113- 11-5103 registration number :

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Page 1: Addmath Project (2)

SMK TAMAN RINTING 2,

81750 MASAI,

JOHOR BAHRU, JOHOR

ADDITIONAL MATHEMATIC

PROJECT WORK 2012

NAME : AHMAD RUSYDI BIN ROSLI

CLASS : 5 SCIENCE

IC NUMBER : 950113-11-5103

registration number :

CHECKED BY,

……………………

( PUAN SALWANA)

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NO. TOPIC PAGE

1 PREFACE 2 OBJECTIVE 3 INTRODUCTION 4 APPRECIATION 5 1a 6 1b 7 1c 8 1d 9 1e 10 FURTHER EXPLORATION 11 CONCLUSION 12 REFLECTION 13 RUBRIC

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PREFACE

World in invented by God for his slave to live blisefully and rolling this universe with full responsibilities. He gives the ultimate decision and the best for every mankind. He creates creatures and make to born in this world . No one asks to be born early or late .It is already written by the Almighty. With that I would like to thank the god for giving me this golden opportunity and strength to finish this assignment .Besides , I would like to thank him again for giving me a chance to obey my teachers instructions by finishing this folio which have been asked by them for my SPM.

On the other hand, I would like to thank my beloved parents whom are the source of my life. In fact, I would not born in this world without the presence of my beloved parents. Therefore, I would like to thank them again and it is not only just for the purpose that I have stated just now but also for the sacrifices that they have made for me and especially to complete this assignment.

Now , it is my turn to appreciate my teachers and friends who had helped me a lot whether directly or indirectly. I would like to thank all of them just because they have gave me a lot of cooperation , support and guidance on how to prepare a quality paper work. Furthermore, they helped me on how to collect this data easily and efficiently .

Before I end, I hope too that this kind of assignment must be continuous so that the future generation may improve their creative and critic thinking skills. Other than that this may create a quality generations with a quality leadership skills. With that I thank you.

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OBJECTIVE

We, the students of 5 Science, taking Additional Mathematics are required to carry out a project work. For this year, the Curriculum Development Division, Ministry of Education has prepared four tasks for us. We are required to choose and complete only one task based on our area of interest. This project can be done in groups or individually, but each of us are expected to submit it individually written report. Upon completion of the Additional Mathematics project work, we are to gain valuable experiences and able to;

1) Apply and adapt a variety of problem solving strategies to solve routine and non-routine problems.

2) Experience classroom environments which are challenging, interesting and meaningful and hence improve their thinking skills.

3) Experience classroom environments where knowledge and skills are applied in meaningful ways in solving real-life problems.

4) Experience classroom environments where expressing ones mathematical thinking, reasoning and communication are highly encouraged and expected.

5) Experience classroom environments that stimulates and enhances effective learning.

6) Acquire effective mathematical communication through oral and writing, and to use the language of mathematics to express mathematical ideas correctly and precisely.

7) Enhance acquisition of mathematical knowledge and skills through problem- solving in ways that increase interest and confidence.

8) Prepare ourselves for the demand of our future undertakings and in workplace.

9) Realises that Mathematics is an important and powerful tool in solving real-life problems and hence develop positive attitude towards mathematics.

10) Train ourselves not only to be independent learners but also to collaborate, to cooperate and to share knowledge in an engaging healthy environment.

11) Use technology especially the ICT appropriately and effectively.12) Train ourselves to appreciate the intrinsic values of mathematics and to

become more creative and innovative.13) Realises the importance and the beauty of Mathematic.

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INTRODUCTION

What is statistics

Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments.

A type of mathematical analysis involving the use of quantified representations, models and summaries for a given set of empirical data or real world observations. Statistical analysis involves the process of collecting and analyzing data and then summarizing the data into a numerical form.

Statistics like many other Science is a developing discipline. It is not nothing static. It has gradually developed during last few centuries. In different times, it has been defined in different manners. Some definitions of the past look very strange today but those definitions had their place in their own time. Defining a subject has always been a difficult task. A good definition of today may be discarded in future.

Besides that, it very simple but it covers only some area of statistics. Average is very simple important in statistics. Experts are interested in average deaths rates, average birth rates, average increase in population, and average increase in per capita income, average increase in standard of living and cost of living, average development rate, average inflation rate, average production of rice per acre, average literacy rate and many other averages of different fields of practical life. But statistics is not limited to average only. There are many other statistical tools like measure of variation, measure of correlation, and measures of independence. Thus this definition is weak and incomplete and has been buried in the past.

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Moral statistics most narrowly refers to numerical data generally considered to be indicative of social pathology in groups of people. Examples include statistics on crimes (against persons and property), illiteracy, suicide, illegitimacy, abortion, divorce, prostitution, and the economic situation sometimes called pauperism in the 19th century.

The gathering of anything that might be called social statistics is often dated from John Graunt’s (1662) analysis of the London Bills of Mortality, which tabulated birth and death data collected by London parishes. The beginnings of the systematic collection of population statistics (now called demography) occurred in the mid-18th century, often attributed to Johann Peter Süssmilch in 1741. Data on moral variables began to be collected and disseminated by various state agencies (most notably in France and Britain) in the early 19th century, and were widely used in debates about social reform.

The first major work on this topic was the Essay on moral statistics of France by André-Michel Guerry in 1833. In this book, Guerry presented thematic maps of the departments of France, shaded according to illiteracy, crimes against persons and against property, illegitimacy, donations to the poor and so forth, and used these to ask questions about how such moral variables were related.

In Britain this theme was taken up beginning in 1847 by Joseph Fletche r who published several articles on the topic Moral and educational statistics of England and Wales.

History of statistics

The history of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of what the word statistics means. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, "statistics" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.

Statistical activities are often associated with models expressed using probabilities, and requireprobability theory for them to be put on a firm theoretical basis: see History of probability.

A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.

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Why Should I Learn Statistics?

In today's information-overloaded age, statistics is one of the most useful subjects anyone can learn. Newspapers are filled with statistical data, and anyone who is ignorant of statistics is at risk of being seriously misled about important real-life decisions such as what to eat, who is leading the polls, how dangerous smoking is, etc. Knowing a little about statistics will help one to make more informed decisions about these and other important questions. Furthermore, statistics are often used by politicians, advertisers, and others to twist the truth for their own gain. The best thing about being a statistician is that you get to play in everyone else’s backyard.

More seriously, those proceeding to higher education will learn that statistics is the most powerful tool available for assessing the significance of experimental data, and for drawing the right conclusions from the vast amounts of data faced by engineers, scientists, sociologists, and other professionals in most spheres of learning. There is no study with scientific, clinical, social, health, environmental or political goals that does not rely on statistical methodologies. The basic reason for that is that variation is ubiquitous in nature and probability and statistics are the fields that allow us to study, understand, model, embrace and interpret variation.

Statistics today is not mere counting of people, counting of animals, counting of trees and counting of fighting force. It has now grown to a rich methods of data analysis and interpretation. It is extremely important for a researcher to know what statistics they want to use before they collect their data. Otherwise data might be collected that is uninterpretable. Unfortunately, when this happens it results in a loss of data, time, and money

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CONCLUSION

Alhamdullilah , thank you for giving the will to do my additional mathematics project. secondly I would like to thank the principle of Sekolah Menengah Kebangsaan Taman Rinting 2, Puan Chong Hue Yong, for giving the permission to do my Additional Mathematics Project Work. I also like to thank my Additional Mathematics teacher , Puan Salwana for the guide and giving useful and information for me complete this project work. Besides that ,I would like to my parents for their support and encouragement. Lastly, a special thanks to all my friends for their help and cooperation in searching for information and completing this project work.

Thanks and regard,

We are one.

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STEP UP BOARD ACTIVITY

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PULSE RATE

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Complete the table below by using the data obtained

ANSWER :

NO STUDENTS CLASS PULSE RATE (bpm-beats per min) BEFORE AFTER

1 SAFIQ RAHIM 5Science 65 115 2 AMIRULHADI ZAINAL 5Science 98 160 3 LEE WEI KUANG 5Science 99 183 4 BADDROL BAKTIAR 5Science 99 170 5 FARIZAL MARLIAS 5Science 86 103 6 MOHD NOH 5Science 70 143 7 GRIC ALEXANDER 5Science 76 125 8 MUHAMMAD RAZIMAN 5Science 72 121 9 MOHD .IZZAT 5Science 88 120 10 MOHD.JOHAN 5Science 80 110 11 MOHD.ZIZAN 5Sience

Technical 89 124

12 CHANG YONG KANG 5Sience Technical

86 162

13 FARIS FAKHRULLAH 5Sience Technical

92 122

14 AMIRUDDIN 5Sience Technical

93 148

15 MUHAMMAD HARITH 5Sience Technical

99 131

16 MUHAMAD ZULFADLI 5 Science 87 142 17 MOHD.AIDIL 5 Science 94 160 18 SATYISH KUMAR 5 Science 80 100 19 THEN ARASEN 5Science 135 20 DINESH 5 SCIENCE 123 21 WEI KUANG 5 CEMPAKA 80 140 22 HAIKAL 5 CEMPAKA 65 132 23 KHAIRULASYIKIN 5 CEMPAKA 87 110 24 FADILAH 5 CEMPAKA 72 108

25 GOH SEI TING 5 CEMPAKA 60 97 26 CHIA HAN WEI 5 CEMPAKA 82 130 27 WAN ZACK 5 CEMPAKA 93 124 28 IRFAN FAZAIL 5 CEMPAKA 80 120 29 WAN HAIZAL 5 CEMPAKA 80 130 30 FANDI OSMAN 5 CEMPAKA 85 132 31 ATIQAH 5 CEMPAKA 95 128 32 SYAHIDA 5 CEMPAKA 67 92 33 AQILAH 5 CEMPAKA 85 130 34 SYARAH ADLINA HALIL 5 CEMPAKA 94 109 35 LIEW QIAN HUI 5 CEMPAKA 75 125 36 NUR MIRZA 5 CEMPAKA 65 116

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37 VIMAL 5 CEMPAKA 93 111 38 NUR SYAHIRAH 5 CEMPAKA 95 125 39 AZMI MUSLIM 5 CEMPAKA 74 94 40 ZUBIR AZMI 5 CEMPAKA 90 136 41 MUSLIM AHMAD 5 CEMPAKA 85 125 42 NORSHAHRUL TALAHA 5Science 87 134 43 MAHIRAH JAHA 5Science 75 110 44 MAZIAH IZZATI 5Science 76 141 45 AMIRA ROSLI 5Science 67 100 46 NOR ASMIRA 5Science 77 148 47 NUR SHAKILA 5Science 79 126 48 NUR AMALINA 5Science 66 145 49 NUR AZREEN 5Science 72 96 50 NUR ANISAH 5Science 72 131

TABLE

(a) i) Find the mean,mode and median of the pulse rate before the step up board activity for the 50 student

PULSE RATE BEFORE ACTIVITY

MEAN

1. UNGROUPED DATA

Mean,~x=∑ fx

∑f

Mean = 65+98+99+99+86+70+76+72+88+80+ 89+86+92+93+99+87+94+80+58+63+ 80+65+87+72+60+82+93+80+80+85+ 95+67+85+94+75+65+93+95+74+90+ 85+87+75+76+67+77+97+66+72+72

50 = 4047

50

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= 80.94 beat/min

NORMAL = 80 beat / min

2. GROUPED DATA

Beat/min Frequency ( f ) Mid-point ( x ) Fx58 – 67 9 62.5 562.568 – 77 11 72.5 797.578 – 87 15 82.5 1237.588 – 97 11 92.5 1017.598 – 107 4 102.5 410.0

Σf = 50 Σfx = 4025

Mean,~x=∑ fx

∑f

= 4025 50 = 80.5 beat / min

3. EXCELL NO NAME STUDENT CLASS PULSE RATE

(before)PULSE RATE (after)

1. BADDROL BAKTIAR 5A 65 1152. FARIZAL MARLIAS 5A 98 1603. MOHD NOH 5A 99 1834. GRIC ALEXANDER 5A 99 1705. MUHAMMAD RAZIMAN 5A 86 1036. MOHD .IZZAT 5A 70 1427. MOHD.JOHAN 5A 76 1258. MOHD.ZIZAN 5A 72 1219. CHANG YONG KANG 5A 88 12010. FARIS FAKHRULLAH 5A 80 11011. AMIRUDDIN 5B 89 12412. MUHAMMAD HARITH 5B 86 16213. MUHAMAD ZULFADLI 5B 92 12214. MOHD.AIDIL 5B 93 14815. SATYISH KUMAR 5B 99 13116. THEN ARASEN 5C 87 14217. DINESH 5C 94 16018. WEI KUANG 5C 80 10019. HAIKAL 5C 58 13520. KHAIRULASYIKIN 5C 63 12321. FADILAH 5C 80 14022. GOH SEI TING 5C 65 13223. CHIA HAN WEI 5C 87 11024. WAN ZACK 5C 72 10825. IRFAN FAZAIL 5C 60 9726. WAN HAIZAL 5C 82 13027. FANDI OSMAN 5C 93 12428. ATIQAH 5C 80 120

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29. SYAHIDA 5C 80 13030. AQILAH 5C 85 13231. SYARAH ADLINA HALIL 5C 95 12832. LIEW QIAN HUI 5C 67 9233. NUR MIRZA 5C 85 13034. VIMAL 5C 94 10935. NUR SYAHIRAH 5C 75 12536. AZMI MUSLIM 5C 65 11637. ZUBIR AZMI 5C 93 11138. MUSLIM AHMAD 5C 95 12539. NORSHAHRUL TALAHA 5C 74 9440. MAHIRAH JAHA 5C 90 13641. MAZIAH IZZATI 5C 85 12542. AMIRA ROSLI 5A 87 13443. NOR ASMIRA 5A 75 11044. NUR SHAKILA 5A 76 14145. NUR AMALINA 5A 67 10046. NUR AZREEN 5A 77 14847. NUR ANISAH 5A 97 12648. SAFIQ RAHIM 5A 66 14549. AMIRULHADI ZAINAL 5A 72 9650. LEE WEI KUANG 5A 72 131

TOTAL = 4047Mean = 4047

50 = 80.94 beat / min

MODE

1. FROM THE TABLE

Mode = 80 beat / min

2. FROM EXCELL

NO NAME STUDENT CLASS PULSE RATE (before)

FREQUENCY

1. NUR SYAHIRAH 5C 58 12. AZMI MUSLIM 5C 60 13. ZUBIR AZMI 5C 63 14. MUSLIM AHMAD 5A 65

35. NORSHAHRUL TALAHA 5C 656. MAHIRAH JAHA 5C 657. MAZIAH IZZATI 5A 66 18. AMIRA ROSLI 5C 67 2

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9. NOR ASMIRA 5A 6710. NUR SHAKILA 5A 70 111. NUR AMALINA 5A 72

412. NUR AZREEN 5C 7213. NUR ANISAH 5A 7214. SAFIQ RAHIM 5A 7215. AMIRULHADI ZAINAL 5C 74 116. LEE WEI KUANG 5C 75 217. BADDROL BAKTIAR 5A 7518. FARIZAL MARLIAS 5A 76 219. MOHD NOH 5A 7620. GRIC ALEXANDER 5A 77 121. MUHAMMAD RAZIMAN 5A 80

522. MOHD .IZZAT 5C 8023. MOHD.JOHAN 5C 8024. MOHD.ZIZAN 5C 8025. CHANG YONG KANG 5C 8026. FARIS FAKHRULLAH 5C 82 127. AMIRUDDIN 5C 85

328. MUHAMMAD HARITH 5C 8529. MUHAMAD ZULFADLI 5C 8530. MOHD.AIDIL 5A 8631. SATYISH KUMAR 5B 8632. THEN ARASEN 5C 87

333. DINESH 5C 8734. WEI KUANG 5A 8735. HAIKAL 5A 88 136. KHAIRULASYIKIN 5B 89 137. FADILAH 5C 90 138. GOH SEI TING 5B 92 139. CHIA HAN WEI 5B 93

340. WAN ZACK 5C 9341. IRFAN FAZAIL 5C 9342. WAN HAIZAL 5C 94 243. FANDI OSMAN 5C 9444. ATIQAH 5C 95 245. SYAHIDA 5C 9546. AQILAH 5A 97 147. SYARAH ADLINA HALIL 5A 98 148. LIEW QIAN HUI 5A 99

349. NUR MIRZA 5A 9950. VIMAL 5B 99

NUR SYAHIRAH

Mode = 80 beat / min

3. HISTOGRAM

Beat / min Frequency Boundary

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58 – 67 9 57.5 – 67.568 – 77 11 67.5 – 77.578 – 87 15 77.5 – 87.588 – 97 11 87.5 – 97.598 – 107 4 97.5 – 107.5

MEDIAN

1. UNGROUPED FROM EXCELL

NO NAME STUDENT CLASS PULSE RATE (before)

1. BADDROL BAKTIAR 5C 582. FARIZAL MARLIAS 5C 603. MOHD NOH 5C 634. GRIC ALEXANDER 5A 655. MUHAMMAD RAZIMAN 5C 656. MOHD .IZZAT 5C 657. MOHD.JOHAN 5A 668. MOHD.ZIZAN 5C 679. CHANG YONG KANG 5A 6710. FARIS FAKHRULLAH 5A 7011. AMIRUDDIN 5A 7212. MUHAMMAD HARITH 5C 7213. MUHAMAD ZULFADLI 5A 7214. MOHD.AIDIL 5A 7215. SATYISH KUMAR 5C 7416. THEN ARASEN 5C 7517. DINESH 5A 7518. WEI KUANG 5A 7619. HAIKAL 5A 7620. KHAIRULASYIKIN 5A 7721. FADILAH 5A 8022. GOH SEI TING 5C 8023. CHIA HAN WEI 5C 8024. WAN ZACK 5C 8025. IRFAN FAZAIL 5C 8026. WAN HAIZAL 5C 8227. FANDI OSMAN 5C 8528. ATIQAH 5C 8529. SYAHIDA 5C 85

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30. AQILAH 5A 8631. SYARAH ADLINA HALIL 5B 8632. LIEW QIAN HUI 5C 8733. NUR MIRZA 5C 8734. VIMAL 5A 8735. NUR SYAHIRAH 5A 8836. NUR SYAHIRAH 5B 8937. AZMI MUSLIM 5C 9038. ZUBIR AZMI 5B 9239. MUSLIM AHMAD 5B 9340. NORSHAHRUL TALAHA 5C 9341. MAHIRAH JAHA 5C 9342. MAZIAH IZZATI 5C 9443. AMIRA ROSLI 5C 9444. NOR ASMIRA 5C 9545. NUR SHAKILA 5C 9546. NUR AMALINA 5A 9747. NUR AZREEN 5A 9848. NUR ANISAH 5A 9949. SAFIQ RAHIM 5A 9950. AMIRULHADI ZAINAL 5B 99

LEE WEI KUANGMedian = 80+82

2= 162 2= 81

2. GROUPED FROM GRAPH

Beat/min Frequency ( f ) Mid-point ( x ) Fx Boundary CF0 0 0 0 0 058 – 67 9 62.5 562.5 57.5 – 67.5 968 – 77 11 72.5 797.5 67.5 – 77.5 2078 – 87 15 82.5 1237.5 77.5 – 87.5 3588 – 97 11 92.5 1017.5 87.5 – 97.5 4698 – 107 4 102.5 410.0 97.5 – 107.5 50

3. FORMULA

Median,m=L+( N2 −F

fm )C

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m=77.5+( 502

−20

15 )5 ¿77.5+1.67

¿79.17

(ii) Compare the pulse rate before the step up board activity of student in your school with a standart pulse rate.Give your comment

( Answer ) :

The pulse rate before the step up board activity of students in my school is between 58 and 99. 58 is least number. 99 is bigger number. The least pulse rate number is belongs to Then Arasen. the bigger pulse rate number is belongs toLiew Qian Hui,Azmi Muslim and Baddrol Bakhtiar.This four people are have different characteristics. These characteristics may cause the change of pulse rate between them.

Then Arasen have a week body thats why his pulse rate is very low. Before taking the pulse rate he may never eat. But the three people who are have highest number of pulse rate are very active. Their body not weak. They may did exercises before take their pulse rate. Also they may eat well before take the pulse rate.Then Arasen may do not have doing exercises and eat well habits.But theLiew Qian Hui,Azmi Muslim, andBaddrol Bakhtiar have that habits.

The others may do exercises and eating in medium level. So their number of pulse rate is not much and low. They maintain their medium level. Their body also not fat too much and not slim too much.They also active. This the reason for they have medium level of number of pulse rate. The change of pulse rate of everyone is depend on their characteristics

The normal pulse rate before activity is 75 - 100My calculate is Mean = 80.94 Mode = 80Median = 82.5

So we are healthy and normal.

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(b) Find the mean ,mode and median of the pulse rate after the step up board activity

For the 50 student.

PULSE RATE AFTER ACTIVITY

MEAN

1. UNGRUOPED DATA

Mean,~x=∑ fx

∑f

Mean = 115+160+183+170+103+142+125+121+120+110+124+162+122+148+131+142+160+100+135+123+140+132+110+108+ 97+130+124+120+130+132+128+ 92+130+109+125+116+111+125+ 94+136+125+134+110+141+100+148+126+145+ 96+131

50 = 6341

50 = 126.82

NORMAL = 126 beat / min

2. GROUPED DATA Beat/min Frequency ( f ) Mid-point ( x ) Fx92 – 101 6 96.5 579.0102 – 111 7 106.5 745.5

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112 – 121 5 116.5 582.5122 – 131 15 126.5 1897.5132 – 141 7 136.5 955.5142 – 151 5 146.5 732.5152 – 161 2 156.5 313.0162 – 171 2 166.5 333.0172 – 181 0 176.5 0182 – 191 1 186.5 186.5

Σf = 50 Σfx = 6325

Mean,~x=∑ fx

∑f

= 6325 50

= 126.5 beat / min

3. EXCELL NO NAME STUDENT CLASS PULSE RATE

(before)PULSE RATE (after)

1. NUR SYAHIRAH 5A 65 1152. AZMI MUSLIM 5A 98 1603. ZUBIR AZMI 5A 99 1834. MUSLIM AHMAD 5A 99 1705. NORSHAHRUL TALAHA 5A 86 1036. MAHIRAH JAHA 5A 70 1427. MAZIAH IZZATI 5A 76 1258. AMIRA ROSLI 5A 72 1219. NOR ASMIRA 5A 88 12010. NUR SHAKILA 5A 80 11011. NUR AMALINA 5B 89 12412. NUR AZREEN 5B 86 16213. NUR ANISAH 5B 92 12214. SAFIQ RAHIM 5B 93 14815. AMIRULHADI ZAINAL 5B 99 13116. LEE WEI KUANG 5C 87 14217. BADDROL BAKTIAR 5C 94 16018. FARIZAL MARLIAS 5C 80 10019. MOHD NOH 5C 58 13520. GRIC ALEXANDER 5C 63 12321. MUHAMMAD RAZIMAN 5C 80 14022. MOHD .IZZAT 5C 65 13223. MOHD.JOHAN 5C 87 11024. MOHD.ZIZAN 5C 72 10825. CHANG YONG KANG 5C 60 9726. FARIS FAKHRULLAH 5C 82 13027. AMIRUDDIN 5C 93 12428. MUHAMMAD HARITH 5C 80 12029. MUHAMAD ZULFADLI 5C 80 13030. MOHD.AIDIL 5C 85 13231. SATYISH KUMAR 5C 95 128

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32. THEN ARASEN 5C 67 9233. DINESH 5C 85 13034. WEI KUANG 5C 94 10935. HAIKAL 5C 75 12536. KHAIRULASYIKIN 5C 65 11637. FADILAH 5C 93 11138. GOH SEI TING 5C 95 12539. CHIA HAN WEI 5C 74 9440. WAN ZACK 5C 90 13641. IRFAN FAZAIL 5C 85 12542. WAN HAIZAL 5A 87 13443. FANDI OSMAN 5A 75 11044. ATIQAH 5A 76 14145. SYAHIDA 5A 67 10046. AQILAH 5A 77 14847. SYARAH ADLINA HALIL 5A 97 12648. LIEW QIAN HUI 5A 66 14549. NUR MIRZA 5A 72 9650. VIMAL 5A 72 131

NUR SYAHIRAH Total = 6341

Mean = 6341 50

= 126.82 beat / min

MODE

1. FROM THE TABLE

Mode = 125 beat / min

2. FROM EXCELL

NO NAME STUDENT CLASS PULSE RATE (after)

FREQUENCY

1. BADDROL BAKTIAR 5C 92 12. FARIZAL MARLIAS 5C 94 13. MOHD NOH 5A 96 14. GRIC ALEXANDER 5C 97 15. MUHAMMAD RAZIMAN 5C 100 26. MOHD .IZZAT 5A 1007. MOHD.JOHAN 5A 103 18. MOHD.ZIZAN 5C 108 19. CHANG YONG KANG 5C 109 110. FARIS FAKHRULLAH 5A 110

311. AMIRUDDIN 5C 110

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12. MUHAMMAD HARITH 5A 11013. MUHAMAD ZULFADLI 5C 111 114. MOHD.AIDIL 5A 115 115. SATYISH KUMAR 5C 116 116. THEN ARASEN 5A 120 217. DINESH 5C 12018. WEI KUANG 5A 121 119. HAIKAL 5B 122 120. KHAIRULASYIKIN 5C 123 121. FADILAH 5B 124 222. GOH SEI TING 5C 12423. CHIA HAN WEI 5A 125

424. WAN ZACK 5C 12525. IRFAN FAZAIL 5C 12526. WAN HAIZAL 5C 12527. FANDI OSMAN 5A 126 128. ATIQAH 5C 128 129. SYAHIDA 5C 130

330. AQILAH 5C 13031. SYARAH ADLINA HALIL 5C 13032. LIEW QIAN HUI 5B 131 233. NUR MIRZA 5A 13134. VIMAL 5C 132 235. NUR SYAHIRAH 5C 13236. NUR SYAHIRAH 5A 134 137. AZMI MUSLIM 5C 135 138. ZUBIR AZMI 5C 136 139. MUSLIM AHMAD 5C 140 140. NORSHAHRUL TALAHA 5A 141 141. MAHIRAH JAHA 5A 142 242. MAZIAH IZZATI 5C 14243. AMIRA ROSLI 5A 145 144. NOR ASMIRA 5B 148 245. NUR SHAKILA 5A 14846. NUR AMALINA 5A 160 247. NUR AZREEN 5C 16048. NUR ANISAH 5B 162 149. SAFIQ RAHIM 5A 170 150. AMIRULHADI ZAINAL 5A 183 1

Mode = 125 beat / min

3. HISTOGRAM

Beat/min Frequency ( f ) Boundary92 – 101 6 91.5 – 101.5102 – 111 7 101.5 – 111.5112 – 121 5 111.5 – 121.5122 – 131 15 121.5 – 131.5

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132 – 141 7 131.5 – 141.5142 – 151 5 141.5 – 151.5152 – 161 2 151.5 – 161.5162 – 171 2 161.5 – 171.5172 – 181 0 171.5 – 181.5182 – 191 1 181.5 – 191.5

MEDIAN1. UNGROUPED

FROM EXCELL

NO NAME STUDENT CLASS PULSE RATE (after)

1. NUR SYAHIRAH 5C 922. AZMI MUSLIM 5C 943. ZUBIR AZMI 5A 964. MUSLIM AHMAD 5C 975. NORSHAHRUL TALAHA 5C 1006. MAHIRAH JAHA 5A 1007. MAZIAH IZZATI 5A 1038. AMIRA ROSLI 5C 1089. NOR ASMIRA 5C 10910. NUR SHAKILA 5A 11011. NUR AMALINA 5C 11012. NUR AZREEN 5A 11013. NUR ANISAH 5C 11114. SAFIQ RAHIM 5A 11515. AMIRULHADI ZAINAL 5C 11616. LEE WEI KUANG 5A 12017. BADDROL BAKTIAR 5C 12018. FARIZAL MARLIAS 5A 12119. MOHD NOH 5B 12220. GRIC ALEXANDER 5C 12321. MUHAMMAD RAZIMAN 5B 12422. MOHD .IZZAT 5C 12423. MOHD.JOHAN 5A 12524. MOHD.ZIZAN 5C 12525. CHANG YONG KANG 5C 125

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26. FARIS FAKHRULLAH 5C 12527. AMIRUDDIN 5A 12628. MUHAMMAD HARITH 5C 12829. MUHAMAD ZULFADLI 5C 13030. MOHD.AIDIL 5C 13031. SATYISH KUMAR 5C 13032. THEN ARASEN 5B 13133. DINESH 5A 13134. WEI KUANG 5C 13235. HAIKAL 5C 13236. KHAIRULASYIKIN 5A 13437. FADILAH 5C 13538. GOH SEI TING 5C 13639. CHIA HAN WEI 5C 14040. WAN ZACK 5A 14141. IRFAN FAZAIL 5A 14242. WAN HAIZAL 5C 14243. FANDI OSMAN 5A 14544. ATIQAH 5B 14845. SYAHIDA 5A 14846. AQILAH 5A 16047. SYARAH ADLINA HALIL 5C 16048. LIEW QIAN HUI 5B 16249. NUR MIRZA 5A 17050. VIMAL 5A 183

Median = 125+125 2= 250 2= 125 beat / min

2. GROUPED GRAPH

Beat/min Frequency ( f ) Mid-point ( x ) Fx Boundary CF0 0 0 0 0 092 – 101 6 96.5 579.0 91.5 – 101.5 6102 – 111 7 106.5 745.5 101.5 – 111.5 13112 – 121 5 116.5 582.5 111.5 – 121.5 18122 – 131 15 126.5 1897.5 121.5 – 131.5 33132 – 141 7 136.5 955.5 131.5 – 141.5 40142 – 151 5 146.5 732.5 141.5 – 151.5 45152 – 161 2 156.5 313.0 151.5 – 161.5 47162 – 171 2 166.5 333.0 161.5 – 171.5 49172 – 181 0 176.5 0 171.5 – 181.5 49182 – 191 1 186.5 186.5 181.5 – 191.5 50

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3. FORMULA

Median,m=L+( N2 −F

fm )C M=121.5+( 50

2−13

15 )10

¿129.5

(C) Construct a frequency distribution table for the pulse rate after the step up board Activity using a suitable class interval.

(i) Represent your data using three different statiscal graph based on your frequency table.

(ii) Determine the mean ,mode and median of the pulse rate by using appropriate method

ANSWER :

Histogram

Beat/min Frequency(f) Boundary 92-101 6 91.5-101.5 102-111 7 101.5-111.5 112-121 5 111.5-121.5 122-131 15 121.5-131.5 132-141 7 131.5-141.5 142-151 5 141.5-151.5 152-161 2 151.5-161.5 162-171 2 161.5-171.5 172-181 0 171.5-181.5 182-191 1 181.5-191.5

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Ogive

Beat/min Frequency(f)

Mid-point (x) fx Boundary cf

0 0 0 0 0 0 92-101 6 96.5 579.0 91.5-101.5 6 102-111 7 106.5 745.5 101.5-111.5 13 112-121 5 116.5 582.5 111.5-121.5 18 122-131 15 126.5 1897.5 121.5-131.5 33 132-141 7 136.5 955.5 131.5-141.5 40 142-151 5 146.5 732.5 141.5-151.5 45 152-161 2 156.5 313.0 151.5-161.5 47

Cumulative Frequency

Beat/min Frequency(f) Mid-point (x) Fx 92-101 6 96.5 579.0 102-111 7 106.5 745.5 112-121 5 116.5 582.5 122-131 15 126.5 1897.5 132-141 7 136.5 955.5 142-151 5 146.5 732.5 152-161 2 156.5 313.0 162-171 2 166.5 313.0 172-181 0 176.5 O 182-191 1 186.5 186.5

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57.5-67.5 67.5-77.5 77.5-87.5 87.5-97.5 97.5-107.50

2

4

6

8

10

12

14

16 HISTOGRAM

Upper boundary

m fr

eque

ncy

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(d) Compare the mean,mode and median obtained in part (b) and (c).Give your comment.

mean = 80

= the pulse rate before the step up board activity of students in my school with a standard pulse rate is normal.

Median = 80

= The pulse rate before the step up board activity of students in my school with a standard pulse rate is normal.

Mode = 80

= The pulse rate before the step up board activity of students in my school with a standard pulse rate is norma

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(e) Calculate the standard deviation based on the frequency table by using three different methods.Draw your conclusion.

62.5 39062.5

Midpoint,χ χ(χ)

72.5 5256.25

82.5 6806.25

92.5 118556.25

102.5 10506.25

N = 50Mean = 80.5 ÷ 80 = 1.00625

√(Ʃƒχ(χ) ÷ N) – 1.00625= 4024(412.5) ÷ 50 – 1.00625= 1659900 ÷ 50 – 1.00625= 33198 – 1.00625= √33196.99= 182.2

CONCLUSION

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After doing research ,answering question ,drawing graphs and some problem solving . I saw that the usage of statistics is important in daily life. I know the pulse rate before doing the activity and after activity. besides, I know the time of the pulse rate is normal as my resting heart rate which is normal for teenagers and adults. heart rate is dependent on several factors including the level of fitness andenvironmental stress. for example, some calculations that I did to my mother, two teachers and two friends of athletes and non athletes. result, My THR is higher than my mother,because she is old than me.EN.SUHAIMI’S THR is higher than.CIK.SHASHILA,because En. Suhaimi is a teachers ‘s Pjk. My athlete friend is higher than non athele friend is because the athlete have do exercise

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While you were conducting the project .what have you learnt?what moral values did you practice? .Represent your opinions or feelings creatively through usage of symbols, ilustrations,drawing or even in a song

ANWSER :

 While I was conducting the project, feel very shock . I feel that the title is very very hard for me to solve the question . Because I feel my ADD MATH are going decreament . But I am still very work hard going on this project until it complete . At the same time I revise all my Additional Mathematics lesson and formula

I had learned many moral values that I practice.This project work had taught me to be more confident when doing something especially thehomework given by the teacher. I also learned to be a disciplined type of student which is alwayssharp on time while doing some work, complete the

work by myself and researching thein formations from the internet. I also felt very enjoy when making this project during the school or home

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(a) Obtain your own Resting Heart Rate(RHR). My own (RHR)

Age : 17 year old RHR : 72beat/min

(b) Calculate your Maximum Heart Rate(MHR). Hence, calculate your Target Heart Rate or Training Heart Rate

My own calculate

Age : 17 year old RHR : 72beat/min MHR : 220-17 : 203 beat/min

My MHR is 203 beat/min

THR (minimum) = RHR + % (MHR-RHR) = 72 + 70% (203-72) = 72 + 70% ( 131 ) = 72 + 91.7 = 163.7beat/min

THR (maximum) = RHR+ % (MHR-RHR) = 72 + 80% (203-72) = 72 + 80% (131) = 72 + 104.8

= 176.5 beat/min

My THR is between 163-176 beat/min

Repeat the calculations in (a) and (b) for

(i) Your mother or your father or your guardian,

My Mother

Name : Rosmawati Binti Husin Age : 46 years old RHR : 60 beat/min MHR : 220-40 : 180 beat/min

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THR(minimum) = RHR+%(MHR-RHR) = 60+70%(180-60) = 60+70%(120) = 60+84 = 144 beat/min

THR(maximum) = RHR + % (MHR-RHR) = 60 + 80% (180-60) = 60 + 80% (120) = 60 + 96 = 156 beat/min

My Mother’s THR is between 144-156 beat/min

(ii) Two of your teacher,

My teacher

Name : En.Suhaimi Age : 27 year old RHR : 99 beat/min MHR : 220-27 : 193beat/min

THR (minimum) = RHR +% (MHR-RHR) = 99 + 70% (193-99) = 99 + 70% (94) = 99 + 65.8 = 164.8beat/min

THR (maximum) = RHR + % (MHR-RHR) = 99 + 80% (193-99) = 99 + 80% (94) = 99 + 75.2 = 174.2 beat/min

EN SUHAIMI’s THR is between 164-174 beat/min

My teacher

Name : CIK.Shasila Age : 24 year old

RHR : 78 beat/min MHR : 220-24 : 196 beat/min

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THR (minimum) = RHR + % (MHR-RHR) = 78 + 70% (196-78) = 78 + 70% (118) = 78 + 82.6 = 16O.6 beat/min

THR (maximum) = RHR+% (MHR-RHR) = 78 + 80% (196-78) = 78 + 80% (118) = 78 +94.4 = 172.4

CIK.SHASHILA’s THR is between 160-172 beat/min

(iii) Two of your friends (an athlete and non athlete)

An athlete Name : Baxter Edward Age : 17 year old RHR : 113 beat/min MHR : 220-17 : 203 beat/min

THR (minimum) = RHR + % (MHR-RHR) = 113 + 70% (203-113) = 113 + 70% (90) = 113 + 63 = 176 beat/min

THR (maximum) = RHR + % (MHR-RHR) = 113 + 80% (203-113) = 113 + 80% (90) = 113 + 72 = 185 beat/min

Friend of athlete’s is between 176-185 beat/min Non athlete

Name : Clive John Age : 17 year old RHR : 60 beat/min

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MHR : 220-17 : 203 beat/min

THR (minimum) = RHR +% (MHR-RHR) = 60 + 70% (203-60) = 60 + 70% (143) = 60 + 100.1 = 160.1 beat/min

THR (maximum) = RHR +% (MHR-RHR) = 60 + 80% (203-60) = 60 + 80% (143) = 60 + 114.4 = 174.4 beat/min

Friend of non athlete’s THR is between 160-174 beat/min

(d) based on the calculation that you have done ,make a conclusion about the level of fitness and the lifestyle of you ,your mother/father/guardian , your teachers and your friend.

My THR is higher than my mother,because she is old than me.

EN.SUHAIMI’S THR is higher than.CIK.SHASHILA,because En. Suhaimi is a teachers ‘s Pjk.

My athlete friend is higher than non athele friend is because the athlete have do exercise