healthy diet - updated
TRANSCRIPT
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Table of Contents
Content ...................................................................................................................................... 1
Question 2- Healthy Diet.......................................................................................................... 2
Introduction .............................................................................................................................. 3
Part I.......................................................................................................................................... 5
Part II ........................................................................................................................................ 8
Part III..................................................................................................................................... 14
Further Exploration ............................................................................................................... 19
Conclusion............................................................................................................................... 24
Reflection................................................................................................................................. 26
Reference ................................................................................................................................. 28
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INTRODUCTION
Healthy diet is one that helps maintain or improve general health. It is important for lowering
many chronic health risks, such as obesity, heart disease, diabetes, hypertension and
cancer.[1] A healthy diet involves consuming appropriate amounts of all essential nutrientsand an adequate amount of water. Nutrients can be obtained from many different foods, so
there are numerous diets that may be considered healthy.
A healthy diet needs to have a balance of macronutrients (fats, proteins, and
carbohydrates), calories to support energy needs, and micronutrients to meet the needs for
human nutrition without inducing toxicity or excessive weight gain from consuming excessive
amounts.
The World Health Organization (WHO) makes the following 5 recommendations with
respect to both populations and individuals:[2] Try to burn as much energy as you eat, and try
to eat as much energy as you burn, as a healthyweight is a balance between those two.
Increase consumption of food producing plants, particularly fruits, vegetables, legumes,
whole grains and nuts.
Then, limit intake of fat and oil, and avoid saturated fats, which are those that become
solid at roomtemperature such as coconut oil and all animal products including basically
meat, dairy and egg.Prefer unsaturated fats, which remain liquid at room temperature instead,
and which are found inalmost all the plant based oils and foods. Eliminate trans-fatty acids
and limit the intake of granulated sugar. Lastly, limit salt/sodium consumption from all
sources and ensure that salt is iodized.
The food pyramid
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PART I
If you look around your class, you will notice that your classmates are different in terms ofheight, mass, shoe size etc. You probably would have expected most people to be around the
average mass. Based on these studies, the ministry has collected data and interpreted it into
statistical data for further action.
Hence, briefly discuss
(i) history about statistic
Answer :
Statistics is the study of the collection, organization, analysis, and interpretation ofdata.[1][2]
It deals with all aspects of this, including the planning of data collection in terms of the design
ofsurveysandexperiments.[1]
The word statistics, when referring to the scientific discipline, is singular, as in "Statistics is
an art."[3]
This should not be confused with the word statistic, referring to a quantity (such as
meanormedian) calculated from a set of data,[4]
whose plural is statistics ("this statistic
seems wrong" or "these statistics are misleading").
The earliest writing on statistics was found in a 9th century book entitled: "Manuscript on
Deciphering Cryptographic Messages", written byAl-Kindi(801873 CE). In his book, Al-
Kindi gave a detailed description of how to use statistics andfrequency analysisto decipher
encrypted messages, this was the birth of both statistics and cryptanalysis, according to
Ibrahim Al-Kadi.[10][11]
Some scholars pinpoint the origin of statistics to 1663, with the publication ofNatural and
Political Observations upon the Bills of Mortality byJohn Graunt.[12]
Early applications of
statistical thinking revolved around the needs of states to base policy on demographic and
economic data, hence itsstat- etymology. The scope of the discipline of statistics broadened
in the early 19th century to include the collection and analysis of data in general. Today,
statistics is widely employed in government, business, and the natural and social sciences.
Its mathematical foundations were laid in the 17th century with the development of
probability theorybyBlaise PascalandPierre de Fermat. Probability theory arose from the
study of games of chance. Themethod of least squareswas first described byCarl Friedrich
Gaussaround 1794. The use of moderncomputershas expedited large-scale statisticalcomputation, and has also made possible new methods that are impractical to perform
manually.
Source from-http://en.wikipedia.org/wiki/Statistics
http://en.wikipedia.org/wiki/Datahttp://en.wikipedia.org/wiki/Datahttp://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Experimental_designhttp://en.wikipedia.org/wiki/Experimental_designhttp://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-2http://en.wikipedia.org/wiki/Statistics#cite_note-2http://en.wikipedia.org/wiki/Statistics#cite_note-2http://en.wikipedia.org/wiki/Meanhttp://en.wikipedia.org/wiki/Meanhttp://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wiki/Statistics#cite_note-3http://en.wikipedia.org/wiki/Statistics#cite_note-3http://en.wikipedia.org/wiki/Statistics#cite_note-3http://en.wikipedia.org/wiki/Al-Kindihttp://en.wikipedia.org/wiki/Al-Kindihttp://en.wikipedia.org/wiki/Al-Kindihttp://en.wikipedia.org/wiki/Frequency_analysishttp://en.wikipedia.org/wiki/Frequency_analysishttp://en.wikipedia.org/wiki/Frequency_analysishttp://en.wikipedia.org/wiki/Statistics#cite_note-sim2000-9http://en.wikipedia.org/wiki/Statistics#cite_note-sim2000-9http://en.wikipedia.org/wiki/Statistics#cite_note-sim2000-9http://en.wikipedia.org/wiki/John_Graunthttp://en.wikipedia.org/wiki/John_Graunthttp://en.wikipedia.org/wiki/Statistics#cite_note-11http://en.wikipedia.org/wiki/Statistics#cite_note-11http://en.wikipedia.org/wiki/Statistics#cite_note-11http://en.wikipedia.org/wiki/History_of_statistics#Etymologyhttp://en.wikipedia.org/wiki/History_of_statistics#Etymologyhttp://en.wikipedia.org/wiki/History_of_statistics#Etymologyhttp://en.wikipedia.org/wiki/History_of_statistics#Etymologyhttp://en.wikipedia.org/wiki/Probability_theoryhttp://en.wikipedia.org/wiki/Probability_theoryhttp://en.wikipedia.org/wiki/Blaise_Pascalhttp://en.wikipedia.org/wiki/Blaise_Pascalhttp://en.wikipedia.org/wiki/Blaise_Pascalhttp://en.wikipedia.org/wiki/Pierre_de_Fermathttp://en.wikipedia.org/wiki/Pierre_de_Fermathttp://en.wikipedia.org/wiki/Pierre_de_Fermathttp://en.wikipedia.org/wiki/Method_of_least_squareshttp://en.wikipedia.org/wiki/Method_of_least_squareshttp://en.wikipedia.org/wiki/Method_of_least_squareshttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Computerhttp://en.wikipedia.org/wiki/Computerhttp://en.wikipedia.org/wiki/Computerhttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Computerhttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Carl_Friedrich_Gausshttp://en.wikipedia.org/wiki/Method_of_least_squareshttp://en.wikipedia.org/wiki/Pierre_de_Fermathttp://en.wikipedia.org/wiki/Blaise_Pascalhttp://en.wikipedia.org/wiki/Probability_theoryhttp://en.wikipedia.org/wiki/History_of_statistics#Etymologyhttp://en.wikipedia.org/wiki/Statistics#cite_note-11http://en.wikipedia.org/wiki/John_Graunthttp://en.wikipedia.org/wiki/Statistics#cite_note-sim2000-9http://en.wikipedia.org/wiki/Statistics#cite_note-sim2000-9http://en.wikipedia.org/wiki/Frequency_analysishttp://en.wikipedia.org/wiki/Al-Kindihttp://en.wikipedia.org/wiki/Statistics#cite_note-3http://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wiki/Meanhttp://en.wikipedia.org/wiki/Statistics#cite_note-2http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Experimental_designhttp://en.wikipedia.org/wiki/Statistical_surveyhttp://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Statistics#cite_note-Dodge-0http://en.wikipedia.org/wiki/Data -
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(ii) application of statistic in everyday life.
Answer :
One of the application of statistic in everyday life is in quality testing. Statistics can form a
key basis tool in business and manufacturing as well. It is used to understand measurementsystems variability, control processes or summarizing data, and to make data-driven
decisions. In these roles, it is a key tool, and perhaps the only reliable tool.
For example, companies make thousands of products every day and each company must make surethat a good quality item is sold. But a company can't test each and every item that they ship to you,
the consumer. So the company uses statistics to test just a few, called a sample, of what they make.
If the sample passes quality tests, then the company assumes that all the items made in the group,
called a batch, are good item to be sold to the cunsumer.
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PART II
The Ministry of Health has done many studies on the effect of food sold in the school canteen
on children.
To support the government effort, you are required to run the project. This project required
you to obtain the mass and height of 100 students in certain forms of your school.
Based on the raw data collected, tabulate your data into a frequency table as below:
TINGGI BERAT TINGGI BERAT TINGGI BERAT TINGGI BERAT TINGGI BERAT
166 53 161 41 166 50 141 42 155 45
168 57 178 60 160 52 160 59 156 38
168 52 162 54 183 62 158 39 150 44
167 58 178 96 160 44 153 41 168 56
164 53 170 64 158 48 150 44 161 54
164 60 184 57 163 47 164 70 150 43
172 53 178 58 162 55 157 42 160 58
169 53 181 62 156 45 156 62 153 50
180 75 181 68 162 52 152 68 153 65
174 98 178 50 160 54 165 54 148 65
172 48 176 55 160 53 166 78 158 39
160 49 170 52 161 53 148 47 153 42
156 47 154 44 153 45 166 60 161 52
156 47 161 50 175 56 160 44 165 42
150 36 150 45 178 77 145 44 164 49
156 48 157 49 170 52 152 50 169 60
175 56 160 48 171 64 158 53 150 44
164 45 166 50 161 41 157 70 151 43
172 67 156 50 178 60 160 38 168 96
171 64 153 50 162 54 164 48 176 73
Data of mass and height of 100 students.
Mass of students (kg) Tally Frequency
3041 IIII III 8
4253IIII IIII IIII IIII IIII
IIII IIII IIII IIII IIII I 51
5465IIII IIII IIII IIII IIII
IIII29
6677 IIII III 8
7889 I 1
90101 III 3
Table 1
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a) Draw a histogram from the Table 1 and find the mode mass.
Answer :
Mass of students
(kg)
Upper boundary
Frequency30 41 41.5 8
42 53 53.5 51
54 65 65.6 29
66 77 77.5 8
78 89 89.5 1
90 101 101.5 3
Frequency table of students mass.
Histogram for table 1.
Mode mass
0
10
20
30
40
50
60
Frequency
Mass of
students
Frequency Of Students Mass
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b) Hence, draw another two histograms by changing to a smaller class intervals and increasing the
number of the classes.
Answer :
(a)First histogram - Histogram 1
Mass of students (kg) Upper boundary Frequency
30 39 39.50 5
40 49 49.50 33
50 59 59.60 37
60 69 69.50 16
70 79 79.50 6
80 89 89.50 0
90 99 99.50 3
Frequency table of students mass.
Histogram 1 Graph.
0
5
10
15
20
25
30
35
40
Frequency
Mass of
students
Frequency Of Students Mass
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(b)Second histogramHistogram 2
Mass of students (kg) Upper boundry Frequency
3539 39.50 5
4044 44.50 16
454949.50
175054 54.50 26
5559 59.50 11
6064 64.50 11
6569 69.50 5
7074 74.50 3
7579 79.50 3
8084 84.50 0
8589 89.50 0
9094 94.50 0
9599 99.50 3
Frequency table of students mass.
Histogram 2 Graph.
0
5
10
15
20
25
30
Frequency
Mass of
students
Frequency Of Students Mass
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PART III
a) Using the data from Table 1, complete Table 2 below.
Mass of students (kg) Upper boundary Frequency Cumulative frequency
13 34 34.50 0 0
35 56 56.50 69 69
57 78 78.50 28 97
79 100 100.50 3 100
Table 2
b) Hence, draw an ogive based on the data.
0
10
20
30
40
50
60
70
80
90
100
110
Cumulative
frequency
Mass of
students
Cumulative Frequency Of Students Mass
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c) From the ogive, find median, first quartile, third quartile and interquartile range.
Original ogive graph marked with median, first quartile and third quartile.
Answer:
(c) Median, first quartile, third quartile and interquartile range from ogive.
0
10
20
30
40
50
60
70
80
90
100
110
Cumulative
frequency
Mass of
students
Cumulative Frequency Of Students Mass
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d) Without drawing an ogive, find the median, first quartile, third quartile and interquartile
range.
Answer :
(
)
( ) (
)
( ) (
)
(
)
e) State the range and interquartile range. What is the different between the range and
interquartile range?Answer :
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f) Calculate the mean, variance and standard deviations. Explain briefly why mean, varianceand standard deviations are used in statistic to interpret data.
Answer :
Mean
Variance
Standard deviation
The reason why mean, variance and standard deviations are used in statistic to
interpret data because these are the types of measures of dispersion. Measures of dispersion
are the measures of the degree of dispersion in the statistic. It is important to determine how
far the values of data in a set of data scatter or spread out from its average value.
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FURTHER EXPLORATION
The body mass index,
gives an indication on the physical state of a person as being underweight, normal, overweight or
obese.
BMI Categories BMI BMI
Underweight < 18.5
Normal 18.524.9
Overweight 2529.9
Obese 30i) Calculate BMI for every student from the survey and classify them into categories as above. Hence
calculate the percentage of each category.
Answer :
Table of BMI and its categories for every students.
Height(cm) Height(m) Mass(kg) BMI BMI categories
160 1.60 38 14.84 Underweight
165 1.65 42 15.43 Underweight
156 1.56 38 15.61 Underweight
158 1.58 39 15.62 Underweight
158 1.58 39 15.62 Underweight
178 1.78 50 15.78 Underweight
161 1.61 41 15.82 Underweight
161 1.61 41 15.82 Underweight
150 1.50 36 16.00 Underweight
172 1.72 48 16.22 Underweight
164 1.64 45 16.73 Underweight
184 1.84 57 16.84 Underweight
157 1.57 42 17.04 Underweight
160 1.60 44 17.19 Underweight
160 1.60 44 17.19 Underweight
153 1.53 41 17.51 Underweight
163 1.63 47 17.69 Underweight
176 1.76 55 17.76 Underweight
164 1.64 48 17.85 Underweight
172 1.72 53 17.92 Underweight
153 1.53 42 17.94 Underweight
170 1.70 52 17.99 Underweight
170 1.70 52 17.99 Underweight
166 1.66 50 18.14 Underweight
166 1.66 50 18.14 Underweight
164 1.64 49 18.22 Underweight
175 1.75 56 18.29 Underweight175 1.75 56 18.29 Underweight
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178 1.78 58 18.31 Underweight
168 1.68 52 18.42 Underweight
156 1.56 45 18.49 Underweight
183 1.83 62 18.51 Normal
154 1.54 44 18.55 Normal
169 1.69 53 18.56 Normal
155 1.55 45 18.73 Normal
160 1.60 48 18.75 Normal
151 1.51 43 18.86 Normal
181 1.81 62 18.92 Normal
178 1.78 60 18.94 Normal
178 1.78 60 18.94 Normal
150 1.50 43 19.11 Normal
160 1.60 49 19.14 Normal
153 1.53 45 19.22 Normal158 1.58 48 19.23 Normal
166 1.66 53 19.23 Normal
161 1.61 50 19.29 Normal
156 1.56 47 19.31 Normal
156 1.56 47 19.31 Normal
150 1.50 44 19.56 Normal
150 1.50 44 19.56 Normal
150 1.50 44 19.56 Normal
164 1.64 53 19.71 Normal
156 1.56 48 19.72 Normal
162 1.62 52 19.81 Normal
165 1.65 54 19.83 Normal
168 1.68 56 19.84 Normal
157 1.57 49 19.88 Normal
150 1.50 45 20.00 Normal
161 1.61 52 20.06 Normal
168 1.68 57 20.20 Normal
160 1.60 52 20.31 Normal
161 1.61 53 20.45 Normal156 1.56 50 20.55 Normal
162 1.62 54 20.58 Normal
162 1.62 54 20.58 Normal
160 1.60 53 20.70 Normal
181 1.81 68 20.76 Normal
167 1.67 58 20.80 Normal
161 1.61 54 20.83 Normal
145 1.45 44 20.93 Normal
162 1.62 55 20.96 Normal
169 1.69 60 21.01 Normal
160 1.60 54 21.09 Normal
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141 1.41 42 21.13 Normal
158 1.58 53 21.23 Normal
153 1.53 50 21.36 Normal
153 1.53 50 21.36 Normal
148 1.48 47 21.46 Normal
152 1.52 50 21.64 Normal
166 1.66 60 21.77 Normal
171 1.71 64 21.89 Normal
171 1.71 64 21.89 Normal
170 1.70 64 22.15 Normal
164 1.64 60 22.31 Normal
172 1.72 67 22.65 Normal
160 1.60 58 22.66 Normal
160 1.60 59 23.05 Normal
180 1.80 75 23.15 Normal176 1.76 73 23.57 Normal
178 1.78 77 24.30 Normal
156 1.56 62 25.48 Overweight
164 1.64 70 26.03 Overweight
153 1.53 65 27.77 Overweight
166 1.66 78 28.31 Overweight
157 1.57 70 28.40 Overweight
152 1.52 68 29.43 Overweight
148 1.48 65 29.67 Overweight
178 1.78 96 30.30 Obese
174 1.74 98 32.37 Obese
168 1.68 96 34.01 Obese
Table of BMI percentage of each categories.
BMI categories BMI Frequency Percentage,%
Underweight < 18.5 31 31
Normal 18.524.9 59 59
Overweight 2529.9 7 7
Obese
30 3 3
Total 100 100
ii) Display the result on your school notice board as a guide for pupils to take care of their eating
habits by practicing the moral values.
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iii) An obese person is more prone to develop diseases such as diabetes, stroke and heart
attack.
Comment on this statement. Suggest ways and strategies that a person can adopt to reduce or
increase mass and live a healthier life.
Answer :
I totally agreed with the statement because an obese has a higher risk in getting many
dangerous disease like diabetes and heart attack. However, theres some ways and strategies
that a person can adopt to reduce or increase and live a healthier life.
First of all, fill up on colorful fruits and vegetables Fruits and vegetables are the
foundation of a healthy diet. They are low in calories and nutrient dense, which means they
are packed with vitamins, minerals, antioxidants, and fiber. Try to eat a rainbow of fruits and
vegetables every day and with every mealthe brighter the better. Colorful, deeply colored
fruits and vegetables contain higher concentrations of vitamins, minerals, and antioxidantsand different colors provide different benefits, so eat a variety.
Next is try to limit sugars and salts. Sugar causes energy ups and downs and can add to
health and weight problems. Large amounts of added sugar can be hidden in foods such as
bread, canned soups and vegetables, margarine, fast food, soy sauce, and ketchup. So, some
tips that we can practising it everyday is try to avoid sugary drinks. One 12-oz soda has about
10 teaspoons of sugar in it, more than the daily recommended limit! Try sparkling water with
lemon or a splash of fruit juice. We also recommended to eat naturally sweet food such as
fruits, peppers or natural peanut butter to satisfy our sweet tooth.
Lastly, we must exercise regularly in every week. Some warm up and strecthing can
release our stresss in a right way and also promotes bowel movement. Some basic exercise
that we can do everyday is weight-bearing exercie such as walking and weight training. This
exercise can prevent and also slow down bone loss and enchanting the blood flow in the blood
capillaries by giving the suitable pressure in the capillaries.
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CONCLUSION
The conclusion is we can categoriesed a person in four categories. First categories is
underweight, then normal, overweight and lastly obese. The categories was differentiate from
the others by a fixed BMI range for each category. A person is called as underweight ifhis/her Body Mass Index,BMI is lower than 18.5. The normal person usually will have a BMI
from a range of 18.5 to 24.9. When a person have a higher BMI than that range, that person
will be called as overweight and if his/her BMI is 30 and higher it mean, that person in an
obese person. This type of person is very risky to get various type of dangerous deseases such
as diabetes and heart attack.
From the survey that have been done, we can conclude that the majority of the
students is in the normal category. However, theres still many students that didnt achievedan ideal BMI which is from18.5 to 24.9.Most of these students were in the underweight
category and only a few of them were in overweight and obese categories. This shows us that
nowadays, students doesnt like to eat and fear of getting fat. So, they willingly to starving for
the whole day just because they dont want to get fat as it will effect their personality towards
themselves.
A healthy person or in the other word the normal person is someone that doesnt doing
something in extreme. People often think of healthy eating as an all or nothing proposition,
but a key foundation for any healthy diet is moderation. Despite what certain fact diets wouldhave you believe, we all need a balance of carbohydrates, protein, fat, fiber, vitamins, and
minerals to sustain a healthy body. So,we should eats moderately and always follow the daily
requirement of the human body. This requirement was affected by some factors such as the
ages, body size, gender, genetic disposition of genes, occupations, lifestyle and lastly the
climate. As conclusion, we must eats according to this factors to fulfil our daily energy
requiremen so we could get an ideal physical state and a healthy body.
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REFLECTION
While Im conducting this project, theres many new things that Ive learnt from my
family, teacher, friends and also from the information in internet. One of the things that Ive
learnt is now I know how to create many types of graphs by using Microsoft Excel 2007 suchdrawing of histogram and ogive graph. Before this, I never know how use Microsoft Excel
and I dont even want to learn about it but this project had forced me to learn about it in order
to complete this project. At least, Ive learnt something new.
While doing this project, theres plentiful of moral values that I did practice. One of it
is patience is the cure of anger. Theres always a mistake when drawing a graph using
Microsoft Excel as Im new with Excel and not use with it. This sometimes wasting my time
without gaining any result. However, its what we called as life and it taught me to be strong
and never give up in completing this project work.
After completing this project, first of all; Im so grateful to Allah as because of His
willingness I could complete this project. Secondly, I would like to thank to all those whose
helping me escpecially to my parents and my brotherssisters. Im also not forgotten to say
thank you to my lovely Addmath teacher,Pn. Ruhil and to all my friends who helped me
whether directly or indirectly by giving some useful information about this project.
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REFERENCE
Heres some websites that I used it while completing this project....
1) http://en.wikipedia.org/wiki/Statistics
2) http://en.wikipedia.org/wiki/Healthy_diet
3) http://www.youtube.com/watch?v=XSEf0Rv4Lwc
4) http://www.excelforum.com/excel-general/389241-creating-ogive-curve.html
5) http://www.wyzant.com/Help/Math/Statistics_and_Probability/Averages/Cumulative_F
requency_Percentiles_and_Quartiles.aspx
6) http://www.cms.murdoch.edu.au/areas/maths/statsnotes/samplestats/excelprocs1.html
7) http://www.albany.edu/~reinhold/m308/Assgnmt1_HowTo.htm
8) http://www.helpguide.org/life/healthy_eating_diet.htm
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