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HAVE A NICE DAY! :)


Sunday, 2 March 2014

12.5 Drawing a locus

A locus is a set of points that follow a given rule. The plural of locus is loci. You would need a ruler and compass to draw loci accurately.

If you are asked to draw locus of points that are all 4cm from a point, that means you have to draw a circle with a radius of 4cm.

If you are asked to draw locus of points that are 3cm from a given line, that means you have to draw 2 parallel lines with the distance of 3cm to the given line.
mathcaptain.com

 If you are asked to draw locus of points that are 4cm of a given line segment, that means you have to draw 2 parallel lines and semicircle at the right side and left side of the line. The shape would be like this:

ncetm.org.uk

That's the end of this session. Thank you!

Saturday, 1 March 2014

12.4 Enlarging Shapes

When you enlarge a shape, all the lengths of the shape increase in the same proportion. This is called a scale factor. All the angles in the same shape stay in the same size.

When you describe an enlargement you must give: the scale factor of the enlargement and the position of centre of enlargement.

Here is the example of enlarging shape:


12.3 Transforming Shapes

You can use a combination of translations, reflections and rotations to transform a shape.

You can also describe the transformation that maps an object onto its image.


  • To describe a reflection you must give: the equation of the mirror line.
  • To describe a translation you must give: the column vector.
  • To describe a rotation you must give: the centre of rotation (CP), the number of degrees of the rotation and the direction of the rotation.

12.2 Solving Transformations Problems

Under the three transformations (translation, rotation, reflection) an object and its image are always congruent.

When you reflect a shape on a coordinate grid you have to know the equation of the mirror line. Mirror line is a line that will reflect a shape in front, rear, left, right.

This also important for you to remember:
All vertical lines are parallel to the y-axis and have the equation X = 'a number'
All horizontal lines are parallel to the x-axis and have the equation Y = 'a number'

Here is the example:


When you rotate a shape on a coordinate grid you need to know the coordinates of the centre points, size of haw many degree it turns and the direction whether it's clockwise or anti-clockwise.

When you translate a shape on a coordinate grid, you can describe its movement with a column vector.

This is an example of column vector



 is  

The top number states how many units to move the shape right (positive number) or left (negative number).
The bottom number states how many units to move the shape up (positive number) or down (negative number).
 For example:
 means 'move the shape 2 units left (because it's negative) and 3 units up.


12.1 Tesselating Shapes

A tessellation is a pattern made of identical shapes. You can make your own tesselation by fitting copies of a shape together, without gaps or overlaps.

Here are some ecamples of shape that tessellate with themselves.

gwydir.demon.co.id
euler.slu.edu
geom.uiuc.edu

You can see that coopies of a shape fits together without any gaps to make a tessellation.

In any tessellations, the sum of the angles at the point where the vertices of the shapes meet is 360 degree. Keep it in your mind that id there are gaps between the shapes that fits together or if the sum of angles won't be 360 degree, it means that is not tessellating shapes.


12 Tessellations, Transformations and Loci

   Hello for everyone. This chapter 12 of Cambridge Checkpoint Mathematics discuss about tessellations, transformations, and loci. So first, let me introduce you translation, rotation and reflection briefly by giving you some examples.

Translation

In this shape, you can see that a shape has been translated to different positions.

Reflection
darmouth.edu

In this case, a shape has been reflected in the thick vertical lines.

Rotation
gooddesainmakesmehappy.com

While in this pattern, a triangle has been rotated through 180 degrees to a different positions.

In this chapter you will carry out more transformations of 2D shapes, and learn how to describe combined transformations of 2D shapes. Enjoy!


Wednesday, 19 February 2014

English Project

Dear Pak Luthfi Hasan Ishaaq

My name is Fatimah. I am a 15 year old student in Al-Taqwa College. I expect you to be the next president of Indonesia. The reason I want you to be the president is that because you're a muslim and I really expect you to lead Indonesia to be a better Islamic country with a fair rules toward another religion that Indonesian have. Furthermore, to ensure my opinion, I'd like to ask several questions to you. You might have been through many things that lead you to decide that you want to be the next president of Indonesia and I am excited to heat them.

1. What's the real reason you want to be the next president of Indonesia?
I want you to give me at least 5 reasons why you want to be the next president of Indonesia. It must have been hard to strongly decide that you want to be a president since it's not an easy life to take all the responsibility of Indonesia.

2. What's your opinion toward Indonesia?
To be really honest, I really dislike a person that is not responsible, so I don't want a president of Indonesia to be a non-responsible person. In fact, if you really want to be the next president of our beloved country, you must have been busy ti investigate what's really going on with Indonesia. Please tell me your opinion toward this country.

3. How many country have you visited?
You might have been to several countries out there. And I believe, you must have been seeing what can make a country to develop. It cannot have been easy to lead Indonesia to be a developed country, for it, we have to learn what's missed from Indonesia and what can we do to Indonesia.

4. What are the tragic experiences you had?
I apologize if it's quite impolite to ask this. Mostly, from what I've seen, successful person is a person that went through many hard times that brought them down but then they did not give up. I want to know your experience also. it can't have been a really smooth life you had. No body has a life with no sadness inside. For this, it doesn't matter if you don't answer.

5. What's the mission you have if you be the next president?
You might have been thinking what you really want to develop from Indonesia. I'd like to know what's your real goal for Indonesia when you be its president.

Enough for the questions. You must have been aware that it can't have been easy for Soekarno or Habibie to lead this country since this country is pretty big and it's a big responsibility to be the leader of a country. You might have been thinking that you want  Indonesia to be more admitted by other developed countries, you might have been thinking that Indonesia can compete internationally. It's good to have a big goal. I really hope that Allah will ease you to be a president that truly love Indonesia.

I'd like to remind this one thing, it must have been very hard for Indonesia to develop, because the society are lazy and they don't want to develop. So I believe, the first thing you have to do is to encourage them. Perhaps you can start by making a rule that will stop people in Indonesia to stop littering. As I said before, it must have been quite difficult for previous good presidents to lead this country.

It's an honor if you answer my questions. I apologize for mistakes and impolite words or questions. Thank you very much.


Thursday, 13 February 2014

IT

TCP/IP &  SOI Layers

The Internet protocol suite is the networking model and a set of communications protocols used for the Internet and similar networks. It is commonly known as TCP/IP, because its most important protocols, the Transmission Control Protocol (TCP) and the Internet Protocol (IP), were the first networking protocols defined in this standard. It is occasionally known as the DoD model, because the development of the networking model was funded by DARPA, an agency of the United States Department of Defense.
TCP/IP provides end-to-end connectivity specifying how data should be formatted, addressed, transmitted, routed and received at the destination. This functionality has been organized into four abstraction layers which are used to sort all related protocols according to the scope of networking involved. From lowest to highest, the layers are the link layer, containing communication technologies for a single network segment (link), theinternet layer, connecting independent networks, thus establishing internetworking, the transport layer handling process-to-process communication, and the application layer, which interfaces to the user and provides support services.


The ISO (International Standards Organization) is a collection of people that are technicians, politicians, lawyers, and members of corporations representing the political / economical / strategic / technical needs of their represented unit. They get together and hammer out standards (not to be confused with protocols) for consistent, international work.
One of their web pages (http://www.iso.ch/iso/en/aboutiso/introduction/index.html)) describes them as:
    "The International Organization for Standardization (ISO) is a worldwide federation of national standards bodies from some 130 countries, one from each country.
    ISO is a non-governmental organization established in 1947. The mission of ISO is to promote the development of standardization and related activities in the world with a view to facilitating the international exchange of goods and services, and to developing cooperation in the spheres of intellectual, scientific, technological and economic activity.
    ISO's work results in international agreements which are published as International Standards. "
The theory and idea behind having standards accepted, ratified, and agreed upon by nations around the world, is to ensure that the system from Country A will be easily integrated with the system from Country B with little effort. It also helps to make specification for industries to create goods and services that conform to the standard and by providing competition to the same product, decrease prices for products that must match the minimum standards. Comparisons are made easier in this way for products made by competing groups that must meet or exceed the minimum accepted specified standards.
A protocol is more like a language that can be shared by many people. A protocol may become a standard, if all of the players in the game that would like to use that protocol all politically agree that it shall be the protocol of choice for use in, and between nations. When the protocol is ratified by the governing bodies as the shared and agreed upon system, it becomes an official standard.
A protocol may also become a de-facto standard or an informal standard if all players in a game use it without all members officially ratifying the protocol.
Often, a standard attempts to divest itself of being labeled as a protocol and tries to use language to describe how a protocol may be created to conform to the standard, as in the case of the ISO OSI 7 Layer model.
When two or more parties share a protocol, they have rules that conduct their communications to allow them to share and exchange ideas. For a rough example, we can examine English (the language) and see that two people speaking English with each other must share certain rules. They must have an agreed syntax, speed of speech, and accepted definitions for conveyed words to understand meanings of words stated within their context. Often languages also include systems to recover in the case of errors, and many languages like English also are capable of including rules for correcting for errors. A person may say, "what?" or "could you repeat that?" or even, "do you mean this when you say that?" for some examples.
In this way, you can see that a protocol is merely an agreed upon "language" with agreed upon syntaxes, and definitions used by two or more parties to communicate data or information. When a system or protocol is shared by everyone (or enough of the people that have power, and wield it effective enough to squash or squelch any opposition) then it may also become a standard.
The ISO looked to create a simple model for networking. They took the approach of defining layers that rest in a stack formation, one layer upon the other. Each layer would have a specific function, and deal with a specific task. Much time was spent in creating their model called "The ISO OSI Seven Layer Model for Networking". In this model, they have 7 layers, and each layer has a special and specific function.


ISO OSI Seven Layer Model
7.) Application-
6.) Presentation
5.) --Session---
4.) -Transport--
3.) --Network---
2.) -Data Link--
1.) --Physical--

WAN

wide area network (WAN) is a network that covers a broad area (i.e., any telecommunications network that links across metropolitan, regional, or national boundaries) using private or public network transports. Business and government entities utilize WANs to relay data among employees, clients, buyers, and suppliers from various geographical locations. In essence, this mode of telecommunication allows a business to effectively carry out its daily function regardless of location. The Internet can be considered a WAN as well, and is used by businesses, governments, organizations, and individuals for almost any purpose imaginable.
Related terms for other types of networks are personal area networks (PANs), local area networks (LANs), campus area networks (CANs), ormetropolitan area networks (MANs) which are usually limited to a room, building, campus or specific metropolitan area (e.g., a city) respectively.


PPP A public–private partnership (PPP) is a government service or private business venture which is funded and operated through a partnership of government and one or more private sectorcompanies. These schemes are sometimes referred to as PPP, P3 or P3.
PPP involves a contract between a public sector authority and a private party, in which the private party provides a public service or project and assumes substantial financial, technical and operational risk in the project. In some types of PPP, the cost of using the service is borne exclusively by the users of the service and not by the taxpayer. In other types (notably the private finance initiative), capital investment is made by the private sector on the basis of a contract with government to provide agreed services and the cost of providing the service is borne wholly or in part by the government. Government contributions to a PPP may also be in kind (notably the transfer of existing assets). In projects that are aimed at creating public goods like in the infrastructure sector, the government may provide a capital subsidy in the form of a one-time grant, so as to make it more attractive to the private investors. In some other cases, the government may support the project by providing revenue subsidies, including tax breaks or by removing guaranteed annual revenues for a fixed time period.
There are usually two fundamental drivers for PPPs. Firstly, PPPs enable the public sector to harness the expertise and efficiencies that the private sector can bring to the delivery of certain facilities and services traditionally procured and delivered by the public sector. Secondly, a PPP is structured so that the public sector body seeking to make a capital investment does not incur any borrowing. Rather, the PPP borrowing is incurred by the private sector vehicle implementing the project and therefore, from the public sector's perspective, a PPP is an "off-balance sheet" method of financing the delivery of new or refurbished public sector assets.

Frame Relay is a standardized wide area network technology that specifies the physical and logical link layers of digital telecommunications channels using a packet switching methodology. Originally designed for transport across Integrated Services Digital Network (ISDN) infrastructure, it may be used today in the context of many other network interfaces.
Network providers commonly implement Frame Relay for voice (VoFR) and data as an encapsulation technique, used between local area networks (LANs) over a wide area network (WAN). Each end-user gets a private line (or leased line) to a Frame Relay node. The Frame Relay network handles the transmission over a frequently-changing path transparent to all end-user extensively-used WAN protocols. It is less expensive than leased lines and that is one reason for its popularity. The extreme simplicity of configuring user equipment in a Frame Relay network offers another reason for Frame Relay's popularity.

DNS

The Domain Name System (DNS) is a hierarchical distributed naming system for computers, services, or any resource connected to the Internet or a private network. It associates various information with domain names assigned to each of the participating entities. Most prominently, it translates easily memorized domain names to the numerical IP addresses needed for the purpose of locating computer services and devices worldwide. The Domain Name System is an essential component of the functionality of the Internet.
An often-used analogy to explain the Domain Name System is that it serves as the phone book for the Internet by translating human-friendly computer hostnames into IP addresses. For example, the domain name www.example.com translates to the addresses 93.184.216.119 (IPv4) and 2606:2800:220:6d:26bf:1447:1097:aa7 (IPv6). Unlike a phone book, the DNS can be quickly updated, allowing a service's location on the network to change without affecting the end users, who continue to use the same host name. Users take advantage of this when they use meaningful Uniform Resource Locators (URLs), and e-mail addresses without having to know how the computer actually locates the services.
The Domain Name System distributes the responsibility of assigning domain names and mapping those names to IP addresses by designating authoritative name servers for each domain. Authoritative name servers are assigned to be responsible for their supported domains, and may delegate authority over subdomains to other name servers. This mechanism provides distributed and fault tolerant service and was designed to avoid the need for a single central database.
The Domain Name System also specifies the technical functionality of this database service. It defines the DNS protocol, a detailed specification of the data structures and data communication exchanges used in DNS, as part of the Internet Protocol Suite.
The Internet maintains two principal namespaces, the domain name hierarchy and the Internet Protocol (IP) address spaces. The Domain Name System maintains the domain name hierarchy and provides translation services between it and the address spaces. Internet name servers and a communication protocol implement the Domain Name System. A DNS name server is a server that stores the DNS records for a domain name, such as address (A or AAAA) records, name server (NS) records, and mail exchanger (MX) records (see also list of DNS record types); a DNS name server responds with answers to queries against its database.

Domain name syntax

The definitive descriptions of the rules for forming domain names appear in RFC 1035RFC 1123, and RFC 2181. A domain name consists of one or more parts, technically called labels, that are conventionally concatenated, and delimited by dots, such as example.com.
  • The right-most label conveys the top-level domain; for example, the domain name www.example.com belongs to the top-level domain com.
  • The hierarchy of domains descends from right to left; each label to the left specifies a subdivision, or subdomain of the domain to the right. For example: the label example specifies a subdomain of the com domain, and www is a sub domain of example.com. This tree of subdivisions may have up to 127 levels.
  • Each label may contain up to 63 characters. The full domain name may not exceed the length of 253 characters in its textual representation. In the internal binary representation of the DNS the maximum length requires 255 octets of storage, since it also stores the length of the name. In practice, some domain registries may have shorter limits.
  • DNS names may technically consist of any character representable in an octet. However, the allowed formulation of domain names in the DNS root zone, and most other sub domains, uses a preferred format and character set. The characters allowed in a label are a subset of the ASCII character set, and includes the characters a through zAthrough Z, digits 0 through 9, and the hyphen. This rule is known as the LDH rule (letters, digits, hyphen). Domain names are interpreted in case-independent manner.Labels may not start or end with a hyphen. There is an additional rule that essentially requires that top-level domain names not be all-numeric.
  • A hostname is a domain name that has at least one IP address associated. For example, the domain names www.example.com and example.com are also hostnames, whereas com is not.

Sunday, 26 January 2014

11.4 Practical Examples

Here are some real-life examples of uses of percentages.


  • If you buy something and sell it, the difference between the two prices is a profit or a loss. It's given as a percentage of the buying price. If you buy something for $20 and sell it for $15 you make a loss of $5 or 25%.
  • When you buy something you may be offered a discount. This is a reduction in the price. It's usually given as a percentage. If the price is normally $20 and you get a 10% discount, you only pay $18.
  • If a bank helps you to buy an item, you may have to pay back more than you borrow. This is the interest that the bank charges. It's given as a percentage of the cost. If a car costs $20000 and the rate of interest is 3%, you will pay $20600.
  • If you buy something the price may include a tax. This is called a purchase tax. When you earn money you may have to pay tax on what you earn. This is called income tax.
I have three questions to ease your understanding.

Questions

1. A woman bought an old chair for $240. She sold it for $300. Work out the percentage profit.
Profit: 300 - 240 = 60. 60/240*100% = 25%

2. A man bought a car for $15900. He sold it for $9500. Work out the percentage loss.
Loss: 15900 - 9500 = 6400. 6400/15900*100% = 40%

3. A bottle of grape juice costs $6.50. If you buy six bottles you can get 10% discount. Work out how much you save if you buy six bottles. 
=> 6.50*6 = 39. 39*90% = 35,10.
39 - 35,10 = $3,9

11.3 Percentage Changes

You can use percentages to describe a change in a quantity. It could be a decrease or an increase. A percentage is always calculated as a percentage of the initial value. The initial value is 100%. It's important to choose the correct value to be 100%. I have three questions to ease your understanding.


Question

1. Here are the prices of three items in Alain's shop.
Game $40   Phone $120  Computer $500
Alain increases all the prices by $10. Find the percentage increase for each item.

Game: The initial value is 40. So 10/40*100% = 25%
Phone: The initial value is 120. So 10/120*100% = 8,3%
Computer: The initial value is 500. So 10/500*100%

2. These are the masses of three children on April.
Luke 6kg   Bridget 14kg   Thomas 25kg
Over a year, the mass of each of them increased by 10%. Work out the new mass of each child.

Luke: 6*110% = 6,6 
Bridget: 14*110% = 15,4
Thomas: 25*110% = 27,5

3. The price of a car was $20000. In a sale, the price decreased by 4%. After the sale it increased by 4%.
Ahmad says "The price after the sale is 20000 again"
a. What mistake has Ahmad made?
b. What is the correct price after the sale?

a) He misplace the initial value for the price after sale. The first initial value is 20000. the second initial value is 19200. So the result won't be the same as before.

b) 19200*104% = 19968

11.2 Comparing Different Quantities

You will often need to compare groups that are different sizes.
In this case, it'll be easy if you use percentages.

                                  
I have three questions to ease your understanding.

Questions

1. There were 270 people in cinema. There were 168 women and 102 men. There were 152 people in a theatre. Theatre were 78 women and 74 men.

a. Work out the percentage of women in each venue.
b. Work out the percentage of men in each venue.

a) cinema: 168/270*100% = 62%
    theatre: 78/152*100% = 51%

b) cinema: 102/270*100% = 37%
     theatre: 74//152*100% = 49%

2. In Alphatown there are 5400 young people aged 18 or less. There are 9300 aged over 18. in Betatown there are 9300 young people aged 18 or less. There are 21600 aged over 18.

a. Calculate the percentage of young people in each town.
b. Which town has the greater proportion of young people?

a)
 Alphatown:  5400/14700*100% = 37% {5400 is the amount of young people, 14700 is the amount of all people.}
Betatown: 9300/30900*100% = 30%

b) Alphatown: 37%
    Betatown:  30%

= Alphatown.

3. This table shows the result of a survey in a factory.

a. What percentage of men are smokers?
b. Compare the percentages of men and women who are non-smokers.

a) 12/76*100% = 16%
b) Men: 64/76*100% = 84%
    Women: 32/41*100% = 78%








Saturday, 25 January 2014

11.1 Using Mental Methods

Some percentages are easier to find because they are simple fractions. The purpose of using mental methods is to accelerate working out percentages of simple values.

I have three questions to ease your understanding.
                                                     
Questions:

1. 35% of 84
= 10% + 10% + 10% + 5% = 35%
= 8,4 + 8,4 + 8,4 + 4,2 = 29,4.

2. 49% of 230
= 50% - 1% = 49%
= 115 - 23 = 92.

3.   26% of 78 = 20,28  use this fact to find 52% of $78
You can see that the value that we are working out is the same as the fact which is 78.
The one that we have to focus is the percentage. The fact is 26%. While in the question is 52%.
52-26 = 26%
So first we have to work out the 26 % of 78 and then add the result to the answer in the fact box.
=> 20,28 + 20,28 = 40,56
So the answer is $40,56

Tuesday, 21 January 2014

Network Topology

Network topology is the arrangement of the various elements such as links and nodes of a computer network. Essentially, it is the topological structure of a network, and may be depicted physically or logically. Physical topology refers to the placement of the network's various components, including device location and cable installation, while logical topology shows how data flows within a network, regardless of its physical design.
Bus Topology
Bus networks (not to be confused with the system bus of a computer) use a common backbone to connect all devices. A single cable, the backbone functions as a shared communication medium that devices attach or tap into with an interface connector. A device wanting to communicate with another device on the network sends a broadcast message onto the wire that all other devices see, but only the intended recipient actually accepts and processes the message.

Ring Topology

In a ring network, every device has exactly two neighbors for communication purposes. All messages travel through a ring in the same direction (either "clockwise" or "counterclockwise"). A failure in anycable or device breaks the loop and can take down the entire network.
To implement a ring network, one typically uses FDDI, SONET, or Token Ring technology. Ring topologies are found in some office buildings or school campuses.

Tree Topology

Tree topologies integrate multiple star topologies together onto a bus. In its simplest form, only hub devices connect directly to the tree bus, and each hub functions as the root of a tree of devices. This bus/star hybrid approach supports future expandability of the network much better than a bus (limited in the number of devices due to the broadcast traffic it generates) or a star (limited by the number of hub connection points) alone.

References: # http://en.wikipedia.org/wiki/Network_topology
# http://compnetworking.about.com/od/networkdesign/a/topologies.htm

Sunday, 12 January 2014

The Answer (How Nice Are You?)

Hey guys, these are the answers of the previous questionnaires.

How many a) did you choose?

4~5 a): Congratulation! You are a very nice person! Alhamdulillah. But becareful, bad people like to use a nice person like you for his personal advantage and to deceive you. However, Allah loves a nice person! :)

2~3 a): Cool! You seem to have kindness inside yourself, but perhaps you still have something to encourage you to be more daring to do the right things.

0~1 a): Well... You are not a very nice person. I suggest you to be abetter person. That'll make you feel calmer and happier :)

Thank you for your cooperation!

How Nice Are You?

Hello~ :D
Guys, please help me to finish this project by answering my questionnaires below.

1. If you met a teacher that brings a lot of stuff, would you:

a) Lend him your hands.
b) Greet him and walkway.
c) Pretend you don't see him and walk pass by him.

2. If a suffering dog came to you, would you:

a) Buy or bring some food and to give it.
c) Kick it and go away.
b) Not assume that there's a dog

3. If a person in front you threw rubbish to in appropriate place, would you:

b) Leave it as how it was.
a) Take it and throw it into a rubbish bin.
c) Prefer not to care.

4. If your friend told you that he/she forgot his/her bag, would you:

b) Say "then go take it"
a) Go to upstair and take it for him/her.
c) Ignore him/her.

5. If someone you don't know dropped his/her pen, would you:

a) Pick the pen up and give it to the person
c) Keep doing what you are doing
b) Keep your eyes on the pen until the person pick it up.

Then please report me the result. Just write it on the comment :)
e.g. : 1 b) 2 c) 3 a) 4 b) 5 b)

Click here to see the answers :D

Thanks for your cooperation :)



Saturday, 11 January 2014

Choosing the Best Way to Calculate Average

It’s pretty important to choose the best method for finding the average  value or number of a list of values. Remember, there are three divisions of average. They are mode, median and mean. In this session, I would like to explain briefly about choosing the best one from those three to find the average.

Well, they are all useful to find out the average, but sometimes, we found a bit deviated when we use one of them in a typical list of values.

Example:


This is a list of the ages of teachers on a school. Assume I want to find out the average age of the teachers in this school.

Let's try to find out the average age by calculating the mean,
It’s kind of nonsense because only 3 teachers out of 18 who are 26 year old.

So let's try to use median to work out the average age,

24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 27, 39

The middle value is 25. This one is pretty acceptable.

What if we use mode? It’s not really a good one for this case because there are two modes.

So here, we understood that using the median is the most acceptable way to find out the average. 

These kind of problems often happen and we have to be wise enough to choose the best way to calculate the average depends on the type of the statistic.

  •  Mean: Use this method to calculate the average when the range is maximum 5.
  •  Median: Use this method to calculate the average when the range is too big.
  •  Mode: use this method to calculate the average when the range is too big and there is only one mode in the statistic you are working with.

That's all for this session and thank you for your attention :)




Calculating statistics

Calculating Statics


You can use statistics to summarise sets of data and to compare different sets of data.


       You have to be able to calculate mean, mode, median, and range.

   J Mode:  The most common value that appears 
   J Median: The middle value when they are listed in order. 
   J Mean:  The average value of all of the numbers/values.
                          


* Range: The deviation between the largest value and the smallest value.
                      a) Largest value – smallest value
                               
  ü Range is not an average but it measures how spread out a set of values                           or numbers is.
        ü For a large set of data, it’s not practical to list every number separately.                         Instead, you can record a data in a frequency table.
        
      
     

          


             a)    Find the mode.
             b)    Find the mean.
             c)    Find the range.

             a) The mode is 35
           *because the frequency of 35 is 61 which is the highest*
             
              b)    6900 : 200 = 34.5
           *6900 is the sum of all the frenquencies, and 200 is the number of values*

              c) 50 – 25 = 25
           *50 is the largest value while 25 is the smallest value*

                                                                     


That's all for this session and thanks your attention :)