Additional Mathematics Project 4 (completed)

8/9/2019 Additional Mathematics Project 4 (completed)

1/43

ADDITIONAL MATHEMATICS PROJECTWORKS 2010

( Work 4 )

By :

RAJA MOHD AZLAN SHAH BIN RAJAAZAHAN

I/C Number : 930223-10-5135

Class : 5 Pesona

For :

Pn. Maimunah binti Taib

SEKOLAH MENENGAH

KEBANGSAANSEKSYEN 19, SHAH

ALAM


2/43

Group : 4

Acknowledgement..................................................

Objectives...............................................................

Introduction ...........................................................

Part1......................................................................

CONTENT


3/43

Part2......................................................................

Part3......................................................................

Furtherexplorations...............................................

Reflections............................................................

Conclusion..............................................................

ACKNOWLEDGEMENT


4/43

First of all, I would like to say Alhamdulillah, forgiving me the strength and health to do this project workand finish it on time.

Not forgotten to my parents for providing everything,such as money, to buy anything that are related to thisproject work, their advise, which is the most needed forthis project and facilities such as internet, books,computers and all that. They also supported me andencouraged me to complete this task so that I will notprocrastinate in doing it.

Then I would like to thank to my teacher, Pn.Maimunah Binti Taib for guiding me throughout thisproject. Even I had some difficulties in doing this task, butshe taught me patiently until we knew what to do. Shetried and tried to teach me until I understand what Im

supposed to do with the project work.Besides that, my friends who always supporting me.

Even this project is individually but we are cooperateddoing this project especially in disscussion and sharingideas to ensure our task will finish completely.

Last but not least, any party which involved either

directly or indirect in completing this project work. Thankyou everyone.


5/43

The aims of carrying out this project work are :

i. To apply and adapt a variety of problem-solvingstrategies to solve

problems.

ii. To improve thinking skills.

iii. To promote effective mathematical communication.

iv. To develop mathematical knowledge throughproblem solving

in a way that increases students interest andconfidence.

v. To use the language of mathematics to expressmathematical

ideas precisely.

vi. To provide learning environment that stimulates andenhances

OBJECTIVES


6/43

effective learning.

vii. To develop positive attitude towards mathematics.

A Brief History Of Statistic

By the 18th century, the term " statistics" designated thesystematic collection of demographic and economic data bystates. In the early 19th century, the meaning of "statistics"broadened, then including the discipline concerned with thecollection, summary, and analysis of data. Today statistics iswidely employed in government, business, and all the sciences.Electronic computers have expedited statistical computation, andhave allowed statisticians to develop "computer -intensive"methods.

The term "mathematical statistics" designates the

mathematical theories of probability and statistical inference,which are used in statistical practice. The relation betweenstatistics and probability theory developed rather late, however.In the 19th century, statistics increasingly used probabilitytheory, whose initial results were found in the17th and 18thcenturies, particularly in the analysis of games of chance

INTRODUCTIO


7/43

(gambling). By 1800, astronomy used probability models andstatistical theories, particularly the method of least squares,which was invented by Legendre and Gauss. Early probabilitytheory and statistics was systematized and extended by Laplace;

following Laplace, probability and statistics have been in continualdevelopment.

In the 19th century, social scientists used statistical r

easoning and probability models to advance the new sciences of experimental psychology and sociology; physical scientists usedstatistical reasoning and probability models to advance the newsciences of thermodynamics and statistical mechanics.

The development of statistical reasoning was closelyassociated with the development of inductive logic and thescientific method. Statistics is not a field of mathematics but anautonomous mathematical science , like computer science oroperations research. Unlike mathematics, statistics had its originsin public administration and maintains a special concern withdemography and economics. Being concerned with the scientificmethod and inductive logic, statistical theory has closeassociation with the philosophy of science ; with its emphasis onlearning from data and making best predictions, statistics hasgreat overlap with the decision science and microeconomics.With its concerns with data, statistics has overlap withinformation science and computer science .


8/43

Statistics Today

During the 20th century, the creation of precise instrumentsfor agricultural research, public health concerns (epidemiology,biostatistics, etc.),industrial quality control, and economic andsocial purposes (unemployment rate, econometry, etc.)necessitated substantial advances in statistical practices.

Today the use of statistics has broadened far beyond itsorigins. Individuals and organizations use statistics to understand

data and make informed decisions throughout the natural andsocial sciences, medicine, business, and other areas. Statistics isgenerally regarded not as a subfield of mathematics but rather asa distinct, albeit allied, field. Many universities maintain separatemathematics and stati stics departments. Statistics is also taughtin departments as diverse as psychology, education, and publichealth.


9/43

Index Number

Index numbers are today one of the most widely usedstatistical indicators. Generally used to indicate the state of theeconomy, index numbers are aptly called barometers of economic activity. Index numbers are used in comparingproduction, sales or changes exports or imports over a certainperiod of time. The role-played by index numbers in Indian tradeand industry is impossible to ignore. It is a very well known factthat the wage contracts of workers in our country are tied to thecost of living index numbers.

By definition, an index number is a statistical measuredesigned to show changes in a variable or a group or relatedvariables with respect to time, geographic location or othercharacteristics such as income, profession, etc.


10/43

Characteristics of an Index Numbers

1. These are expressed as a percentage: Index number iscalculated as a ratio of the current value to a base value andexpressed as a percentage. It must be clearly understood that the

index number for the base year is always 100. An index number iscommonly referred to as an index.

2. Index numbers are specialized averages: An index number isan average with a difference. An index number is used forpurposes of comparison in cases where the series beingcompared could be expressed in different units i.e. amanufactured products index (a part of the whole sale priceindex) is constructed using items like Dairy Products, Sugar,

Edible Oils, Tea and Coffee, etc. These items naturally areexpressed in different units like sugar in kgs, milk in liters, etc.

The index number is obtained as a result of an average of allthese items, which are expressed in different units. On the otherhand, average is a single figure representing a group expressed inthe same units.

3. Index numbers measures changes that are not directly

measurable: An index number is used for measuring themagnitude of changes in such phenomenon, which are notcapable of direct measurement. Index numbers essentiallycapture the changes in the group of related variables over aperiod of time. For example, if the index of industrial production is215.1 in 1992-93 (base year 1980-81) it means that the industrial


11/43

production in that year was up by 2.15 times compared to 1980-81. But it does not, however, mean that the net increase in theindex reflects an equivalent increase in industrial production in allsectors of the industry. Some sectors might have increased their

production more than 2.15 times while other sectors may haveincreased their production only marginally.

Uses of index numbers

1. Establishes trends

Index numbers when analyzed reveal a general trend of thephenomenon under study. For eg. Index numbers of unemployment of the country not only reflects the trends in thephenomenon but are useful in determining factors leading tounemployment.

2 . Helps in policy making

It is widely known that the dearness allowances paid to theemployees is linked to the cost of living index, generally theconsumer price index. From time to time it is the cost of livingindex, which forms the basis of many a wages agreementbetween the employees union and the employer. Thus indexnumbers guide policy making.

3. Determines purchasing power of the rupee

Usually index numbers are used to determine the purchasingpower of the rupee. Suppose the consumers price index for urbannon-manual employees increased from 100 in 1984 to 202 in1992, the real purchasing power of the rupee can be found out as


12/43

follows: 100/202=0.495 It indicates that if rupee was worth 100paise in 1984 its purchasing power is 49.5 paise in 1992.

4. Deflates time series data

Index numbers play a vital role in adjusting the original data toreflect reality. For example, nominal income(income at currentprices) can be transformed into real income(reflecting the actualpurchasing power) by using income deflators. Similarly, assumethat industrial production is represented in value terms as a

product of volume of production and price. If the subsequentyears industrial production were to be higher by 20% in value,the increase may not be as a result of increase in the volume of production as one would have it but because of increase in theprice. The inflation which has caused the increase in the series

can be eliminated by the usage of an appropriate price index andthus making the series real.


13/43

Types of index numbers

Three are three types of principal indices. They are:

1. Price Index

The most frequently used form of index numbers is the priceindex. A price index compares charges in price of edible oils. If anattempt is being made to compare the prices of edible oils thisyear to the prices of edible oils last year, it involves, firstly, acomparison of two price situations over time and secondly, theheterogeneity of the edible oils given the various varieties of oils.By constructing a price index number, we are summarizing theprice movements of each type of oil in this group of edible oilsinto a single number called the price index. The Whole Price Index(WPI). Consumer Price Index (CPI) are some of the popularly usedprice indices.

2 . Quantity Index

A quantity index measures the changes in quantity from oneperiod to another. If in the above example, instead of the price of

edible oils, we are interested in the quantum of production of edible oils in those years, then we are comparing quantities in twodifferent years or over a period of time. It is the quantity indexthat needs to be constructed here. The popular quantity indexused in this country and elsewhere is the index of industrialproduction (HP). The index of industrial production measures the


14/43

increase or decrease in the level of industrial production in agiven period compared to some base period.

3. Value Index

The value index is a combination index. It combines price andquantity changes to present a more spatial comparison. The valueindex as such measures changes in net monetary worth. Thoughthe value index enables comparison of value of a commodity in ayear to the value of that commodity in a base year, it has limiteduse. Usually value index is used in sales, inventories, foreigntrade, etc. Its limited use is owing to the inability of the valueindex to distinguish the effects of price and quantity separately.


15/43

Calculating index number

Index number Is a measure used to show the change of acertain quantity for a stated period of time by choosing a specifictime as the base year. In general an index number is thecomparison of a quantity at two different times and is expressedas a percentage.

I = i ndex number

Q1 = quantity at specific time

Qo = quantity at base time

The composite index is the weighted mean for all the itemsin a certain situation.

=

= Composite index

W = weightage

I = index number


16/43

Part 1The prices of good sold in shops are vary from one shop to

another. Shoppers tend to buy goods which are not onlyreasonably priced but also give value for their money. I hadcarried out a survey on four different items based on the followingcategories which is food, detergent and stationery. The surveywas done in three different shops. Informations below shows theresults from my research.

Question (a)

Stationery

Food


17/43

Detergent

Question (b)

~ Data

Categor Item Price (RM)


18/43

y MydinMallEmbatShop

Si Comel

Food

1.Self raisingflour(500g)

2.00 2.50 2.10

2.Sugar(1000g)

1.80 1.90 1.85

3. Butter(250g)

3.50 3.60 3.60

4. Eggs(Grade A)

8.20 8.50 8.40

Total price 15.50 16.50 15.95

Detergent

1. Dishwash

1.80 2.00 1.95

2. Softener

3.90 4.20 4.00

3. Floorcleaner

10.90 11.00 11.30

4. PowderD/gent

9.50 9.50 9.60

Total price 26.10 26.70 26.85

Stationery

1. Eraser 0.80 0.80 0.70

2. Marker 3.00 3.60 3.90

3. Pencilcolour

5.50 5.40 5.30

4. Scissor 2.30 2.30 2.40

Total price 11.60 12.10 12.30

Grand total 53.20 55.30 55.10

Question (c)


19/43

Question (D)


20/43

Based on all the graph in question 1(C) , we can concludethat Mydin Mall offers the lowest price for their customers. Thenfollowed by Si Comel and Embat Shop. This is because thesupplier of the Mydin Mall gives the special price for it as it buy by

bulk. Si comel offer the normal price for their customer as it doesnot get special price from the supplier. While, Embat Shop have tosold the items at the higher price because the shop buy the itemsby bulk from Mydin Mall.

Other factors that influenced the prices of goods in the shopsis such as the location of the shop, the population of the

customers, the status of the shop, the size of the shop, and therent for the shop.

Mydin Mall can offer the lowest price because it is situated atstratergic place so indirectly this factor can attract customer buyat the mall. When there are many customers, the demand of theitems will be high and the mall can buy by bulk directly with the

supplier to get the special price. The status of the shop alsoinfluenced the price of the goods sold. As example the shop withstatus mall will offer the lowest price than the shop with statusmini market. The size of the shop also will influenced the price.When the size of the shop is bigger its mean it can sell manydifferent items in the shop. Indirectly the shop will known as onestop center and it will attract many customers as the peoplenowadays are very busy. Mydin Mall is a bigmall and it providesmany items that we need in our life. Eventhough Mydin Mall haveto pay rent for the place, but it not gives too much effects to theprice of goods sold as it has many buyers.


21/43

Si Comel and Embat Shop cannot offer the prices as MydinMall because they are situated outside the urban area like MydinMall. So the population of the customer will not be as many ascustomer in Mydin Mall. These shops get the supply for their

goods from Mydin Mall. Even they buy by bulk with Mydin Mall buttheir prices still will be higher than Mydin Mall. The size of theseshop also small and cannot provide too much goods for theircustomers. They just sold basic needed for their customers. Asthey not have too much customers, so the rent that they have topay will influenced the price of the goods sold.

As a conclusion, there are many factors that affect the price of the goods solds in a shop. So, we must be a smart customer toensure we can get the lowest price. The graph below will showthe conclusion of the difference among the shops based upon theshops grand total.


22/43

Question (e)

The item that has large price different among the shops ismarker. Mydin Mall sold it at RM 3.00, Si Comel sold it at RM3.90while Embat Shop sold it at RM 3.60.

Calculate the mean

Calculate the standard deviation

Or


23/43

0.3742

The difference of the price of the marker in these threeshops is maybe due to the price given by the supplier to theshops. Mydin Mall can sold it at lowest prices because thedemand of the buyers for the the item is high so it can buy bybulk with the supplier. So the shop can get the special price. Thedemand of the item in Embat Shop and Si Comel are low. This isbecause the customers are more interested to buy the stationeryitems in mall or stationery shops as there are more options tochoose. So Embat Shop and Si Comel cannot buy by bulk thestationery items with their supplier.

Part 2Every year my school organises a carnival to raise funds for

the school. This year my school plans to install air conditioners inthe school library. Last year, during the carnival, my class madeand sold butter cakes. Because of the popularity of butter cakes,my class has decided to carry out the same project for this yearscarnival.

Question (a)

From the data in Part 1, I would go to Mydin Mall to purchase theingredients for the butter cakes. This is because Mydin Mall offersthe lowest price among the shops for the items I want to buy. Somy class will able to sold the butter cakes at the low price and getsome profits form the sale. Futhermore, Mydin Mall is located notfar from my school. So it is easier to my friends and I to go there.

Question (b)


24/43

Ingredient Quantity per cakePrice in theyear 2009 (RM)

Price in theyear 2010 (RM)

Self-raisingflour

250 g 0.90 1.00

Sugar 200 g 0.35 0.36

Butter 250 g 3.30 3.50

Eggs (Grade A) 5 eggs (300 g) 1.25 1.37

(i) Calculate Price Index

Self raising-four

= 111.11

Sugar

=102.86

Butter

=106.06

Eggs (Grade A)


25/43

=109.60

(i) Composite index

=

=107.74

To calculate composite index firstly use the formula of composite index. Get the value for the formula. Letsquantity per cake be as weightage, W. Obtain the price

index from the calculation in question (i). Then, calculateby using the calculator.

(iii)

On 2009, RM 15.00


26/43

On 2010, suitable price is :

x100=107.7415

x =16.20

Thus, the suitable price for the butter cake for the year2010 is RM 16.20. The increase in price is also suitablebecause of the rise in the price of the ingredients

Question (c)

(i) To determine suitable capacity of air conditioner tobe installed based on volume/ size of a room


27/43

For common usage, air conditioner is rated according tohorse power (1HP), which is approximately 700W to 1000W of electrical power. It is suitable for a room size 1000ft which isaround 27m of volume. If we buy an air conditioner with 3HP, it is

suitable for a room around 81m.

(ii) Estimate the volume of school library

By using a measuring tape, the dimension for thelibrary is:

Height=3.6mWidth=9.0m

Length=20.12m

Volume of the room=3.6 x 9.0 x 20.12

=651.90

One unit of air conditioner with 3HP is for 81

For

8.048

This means our school library needs 8 unit of airconditioner.

(ii) My class intends to sponsor one air conditioner forthe school library. The calculation below is to find


28/43

how many butter cakes we must sell in order tobuy the air conditioner.

1 unit of 3 HP air conditioner = RM 1800Cost for a cake = RM 6.23Selling price = RM 16.20Profit =RM 16.20- RM6.23

= RM 9.97

Number of cakes to buy 1 unit of air conditioner =


29/43

Part 3As a committee member for the carnival, I am required to preparean estimated budget to organise this years carnival. I has taken

into consideration the increases in expenditur from the previousyear due to inflation The price of food, transportation and tentshas increased by 15%. The cost of games, prizes and decorationsremains the same,whereas the cost of miscellaneous items hasincrease by 30%.

(a) Table 3 has been completed based on theabove information .

Expenditure Amount in 2009 (RM) Amount in 2010 (RM)Food 1200.00 1380.00

Games 500.00 500.00Transportation 300.00 345.00

Decorations 200.00 200.00Prizes 600.00 600.00Tents 800.00 920.00

Miscellaneous 400.00 520.00

Table 3(b) Calculation to find the composite index

Expenditure

Amount in2009 (RM)

Amount in2010 (RM)

PriceIndex,

Weightage,W

Food 1200.00 1380.00 115 12Games 500.00 500.00 100 5

Transportation 300.00 345.00

115 3

Decorations 200.00 200.00

100 2


30/43

Prizes 600.00 600.00 100 6 Tents 800.00 920.00 115 8Miscellaneous 400.00 520.00

130 4

Composite Index

=

=

The total price for the year 2010 increase by 111.625%.

This is because some price in the year 2009 increased inthe year 2010.


31/43

(c) he change in the composite index for the estimate budget

for the carnival from the year 2009 to the year 2010 is

the same as the change from the year2010 to the year 2011. Below are the calculation to

determine the composite index of the budget for the year

2011 based on the year 2009.

Composite index for the year 2009 to the year 2010

=111.625

Composite index for the year 2010 to the year 2011

=111.625


32/43

FURTHEREXPLORATION


33/43

AIR POLLUTION INDEX

Air pollution is the introduction of chemicals, particulatematter, or biological materials that cause harm or discomfort tohumans or other living organisms, or damages the naturalenvironment into the atmosphere. The atmosphere is a complexdynamic natural gaseous system that is essential to support lifeon planet Earth. Stratospheric ozone depletion due to air pollutionhas long been recognized as a threat to human health as well asto the Earth's ecosystems.

The Air Quality Index (AQI) (also known as the Air PollutionIndex (API) or Pollutant Standard Index (PSI) is a number used bygovernment agencies to characterize the quality of the air at agiven location. As the AQI increases, an increasingly largepercentage of the population is likely to experience increasinglysevere adverse health effects. To compute the AQI requires an airpollutant concentration from a monitor or model. The functionused to convert from air pollutant concentration to AQI varies bypollutant, and is different in different countries. Air quality indexvalues are divided into ranges, and each range is assigned adescriptor and a color code. Standardized public health advisories


34/43

are associated with each AQI range. An agency might alsoencourage members of the public to take public transportation orwork from home when AQI levels are high.

Limitations of the AQIMost air contaminants do not have an associated AQI. Manycountries monitor ground-level ozone, particulates, sulphurdioxide, carbon monoxide and nitrogen dioxide and calculate airquality indices for these pollutants.

Causes of Poor Air Quality

The AQI can worsen (go up) due to lack of dilution of air emissions

by fresh air. Stagnant air, often caused by an anticyclone ortemperature inversion, or other lack of winds lets air pollutionremain in a local area.

Indices by location

South Korea

The Ministry of Environment of South Korea uses theComprehensice Air-quality Index (CAI) to describe the ambient airquality based on health risk of air pollution. The index aims tohelp the public easily understand air quality level and protect thehealth of people from air pollution. - The CAI has values of 0through 500, which are divided into six categories. The higher theCAI value, the greater the level of air pollution. - Of values of thefive air pollutants, the highest is the CAI value.


35/43

CAI Description Health Implications

0-50 GoodA level that will not impact patients sufferingfrom diseases related to air pollution.

51-100

ModerateA level which may have a meager impact onpatients in case of chronic exposure.

101-150

Unhealthy forsensitivegroups

A level that may have harmful impacts onpatients and members of sensitive groups.

151-250 Unhealthy

A level that may have harmful impacts on

patients and members of sensitive groups(children, aged or weak people), and also causethe general public unpleasant feelings.

251-350

Veryunhealthy

A level which may have a serious impact onpatients and members of sensitive groups incase of acute exposure.

351-500 Hazardous

A level which may need to take emergency

measures for patients and members of sensitive groups and have harmful impacts onthe general public.

Malaysia

The air quality in Malaysia is reported as the API or Air PollutionIndex. Four of the index's pollutant components (i.e., carbonmonoxide, ozone, nitrogen dioxide and sulfur dioxide) arereported in ppmv but PM10 particulate matter is reported ing/m.


36/43

Unlike the American AQI, the index number can exceed 500.Above 500, a state of emergency is declared in the reportingarea. Usually, this means that non-essential government servicesare suspended, and all ports in the affected area closed. There

may also be a prohibition on private sector commercial andindustrial activities in the reporting area excluding the foodsector.

Stock Market Index


37/43

A comparison of three major U.S. stock indices: the NASDAQ Composite, Dow

Jones Industrial Average, and S&P 500. All three have the same height atMarch 2007. Notice the large dot-com spike on the NASDAQ, a result of the

large number of tech. companies on that index.

A stock market index is a method of measuring a section of thestock market. Many indices are cited by news or financial servicesfirms and are used as benchmarks, to measure the performanceof portfolios such as mutual funds.

Types of indices

Stock market indices may be classed in many ways. A 'world' or'global' stock market index includes (typically large) companieswithout regard for where they are domiciled or traded. Twoexamples are MSCI World and S&P Global 100.

A national index represents the performance of the stock marketof a given nationand by proxy, reflects investor sentiment onthe state of its economy. The most regularly quoted market

indices are national indices composed of the stocks of largecompanies listed on a nation's largest stock exchanges, such asthe American S&P 500, the Japanese Nikkei 225, and the BritishFTSE 100.


38/43

The concept may be extended well beyond an exchange. TheWilshire 5000 Index, the original total market index, representsthe stocks of nearly every publicly traded company in the UnitedStates, including all U.S. stocks traded on the New York Stock

Exchange (but not ADRs or Limited Partnerships), NASDAQ andAmerican Stock Exchange. Russell Investment Group added to thefamily of indices by launching the Russell Global Index.

More specialised indices exist tracking the performance of specific sectors of the market. Some examples include theWilshire US REIT which tracks more than 80 American Real EstateInvestment Trusts and the Morgan Stanley Biotech Index whichconsists of 36 American firms in the biotechnology industry. Otherindices may track companies of a certain size, a certain type of management, or even more specialized criteria one indexpublished by Linux Weekly News tracks stocks of companies thatsell products and services based on the Linux operatingenvironment.

Index versions

Some indices, such as the S&P 500, have multiple versions. These versions can differ based on how the index components areweighted and on how dividends are accounted for. For example,there are three versions of the S&P 500 index: price return, whichonly considers the price of the components, total return, whichaccounts for dividend reinvestment, and net total return, whichaccounts for dividend reinvestment after the deduction of awithholding tax. As another example, the Wilshire 4500 andWilshire 5000 indices have five versions each: full capitalizationtotal return, full capitalization price, float-adjusted total return,float-adjusted price, and equal weight. The difference betweenthe full capitalization, float-adjusted, and equal weight versions isin how index components are weighted.


39/43

USES AND IMPORTANCE OF AIR POLLUTION

INDEX AND STOCK MARKET INDEX

As everyone can see,the air pollution index isuse by the government to measure the quality of air index and to detect any pollutants in ourcountrys air.This is to ensure the air is clean andsafe for us ti inhale.Besides that,an early warningcan be given to us if the air pollution is too high forus to get out of our homes.This warning is givenbased upon readings and unterpretations of the airindex.

As for the stock market index, it is mainly forthe business entrepreneurs. This type of index isused to determine the outcome of a stock marketand also the conclusion of a stock market. The


40/43

stock market index is important because acountrys economical state sometimes depend onit.

REFLECTION


41/43

After spending countless hours,days and night to finish this project and alsosacrificing my time for chatting and movies in this mid year holiday,thereare several things that I can say...

Additional Mathematics...From the day I born...From the day I was able to holding pencil...

From the day I start learning...And...From the day I heard your name...

I always thought that you will be my greatest obstacle and rival in excellingin my life...But after countless of hours...Countless of days...Countless of nights...

After sacrificing my precious time just for you...Sacrificing my play Time..Sacrificing my Chatting...Sacrificing my Facebook...Sacrificing my internet...Sacrifing my Anime...


42/43

Sacrificing my Movies...I realized something really important in you...

I really love you... You are my real friend...

You my partner... You are my soulmate...

I LOVE U ADDITIONAL MATHEMATICS..

CONCLUSION

After doing research,answeringquestions,drawing graphs and some problemsolving, I saw that the usage of statistics isimportant in daily life.It is not just widely used in

markets but also in interpreting the condition of the surrounding like the air or the water.Especiallyin conducting an air-pollution survey.Inconclusion,statistics is a daily lifenessecities.Without it,surveys cant be conducted,the stock market cant be interpret and many

more. So,we should be thankful of the people whocontribute in the idea of statistics.


43/43

Additional Mathematics Project 4 (completed)

Documents

Transcript of Additional Mathematics Project 4 (completed)