Asigmen math

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CONTENT TOPICS Page Student’s profile ……………………………………………………………………………..…. i Contents ………………………………………………………………………………………... ii BACKGROUND 1.0 Background of the survey ………………………………………........................ 1 2.0 Problem statement …………………………………………………………….…. 2 3.0 Objective of the survey ……………………………………………………..……. 3 4.0 Importance of the survey …………………………………………….................. 4 5.0 Limitation of the survey …………………………………………………………... 4 6.0 Definition of terms …………………………………………………………...…. 5-7 THE SURVEY 7.0 PIE CHART 7.1 Collecting data ……………………………………………………………………. 8 7.2 Organizing and managing the data ……………………………………….8 - 9 7.3 Representing the data ………………………………………………………..10 7.4 Interpretation and making inferences …………………………………………...11 7.5 Suggestions ……………………………………………………………………..…11 8.0 BAR CHART 8.1 Collecting data ……………………………………………………………………12 8.2 Organizing and managing the data …………………………………………12-13 8.3 Representing the data ……………………………………………………….…..14 8.4 Interpretation and making inferences …………………………………………..15 8.5 Suggestions ……………………………………………………………………….15

Transcript of Asigmen math

CONTENT

TOPICS Page

Student’s profile ……………………………………………………………………………..…. i

Contents ………………………………………………………………………………………... ii

BACKGROUND

1.0 Background of the survey ………………………………………........................ 1

2.0 Problem statement …………………………………………………………….…. 2

3.0 Objective of the survey ……………………………………………………..……. 3

4.0 Importance of the survey …………………………………………….................. 4

5.0 Limitation of the survey …………………………………………………………... 4

6.0 Definition of terms …………………………………………………………...…. 5-7

THE SURVEY

7.0 PIE CHART

7.1 Collecting data ……………………………………………………………………. 8

7.2 Organizing and managing the data ……………………………………….… 8 - 9

7.3 Representing the data ………………………………………………………..… 10

7.4 Interpretation and making inferences …………………………………………...11

7.5 Suggestions ……………………………………………………………………..…11

8.0 BAR CHART

8.1 Collecting data ……………………………………………………………………12

8.2 Organizing and managing the data …………………………………………12-13

8.3 Representing the data ……………………………………………………….…..14

8.4 Interpretation and making inferences …………………………………………..15

8.5 Suggestions ……………………………………………………………………….15

9.0 HISTOGRAM

9.1 Collecting data ……………………………………………………………………16

9.3 Organizing and managing the data …………………………………………16-19

9.3 Representing the data ……………………………………………………….…. 20

9.4 Interpretation and making inferences ………………………………………..….21

9.5 Suggestions ……………………………………………………………………… 21

10.0 REFLECTION ………………………………………………………………...……… 22

11.0 THE SURVEY ………………………………………………………………..………. 23

12.0 REFERENCES ……………………………………………………………..……. 24-25

1.0 Background of the survey

Today, the knowledge’s are one of the important things for humankind. It shows

the level of the person. Besides that, the knowledge’s show the symbol of the races and

the religion. If we are lazy to explore the knowledge, our life will not success and

become meaningless. Therefore, it is possible there are many type of book that we can

get knowledge form it.

Then, if we want to read, we must buy more books. How can an individual spend

their money to get more knowledge? If that is happen, that person is in the big trouble.

About getting more knowledge, it depends on the personal either he or she can buy

expensive books or not.

For this task, it will be focusing on how many books are read by the student in

the college. From my observation, I see every student have various hobbies and it is

specific for the daily activities. For example, there are many students borrow a book

form the library. However, are they really read the entire book or just for revision. In my

impression, maybe he or she has many books but not read all. In addition, they don’t

like to borrow books rather than buy it.

By that way, it depends of the races. The number of Chinese students that read

the books is more than Malay and Indian students. Time also related with. If they don’t

have time to read, they will do other things or sleep. On the other hand, if they buy a

book, they feel wasting rather than buy a top up or foods.

This topic is important because from here I can do the survey on the number of

book that students read in my campus. Besides that, it also to fulfill the assignment

question for the basic mathematics coursework.

2.0 Problem statement

From this survey, there are three problem questioned in my mind. The first

problem is the number of book that had been read by the student. It is because some of

the student doesn’t read any book in a week. Here I can see the percentage of the

books that had been read. If the percentage is low, maybe he or she doesn’t like to

read. In addition, he or she is lack of knowledge.

The next problem is how the student gets the books. It is related with the third

problem, what kinds of book that students like to read. In the campus, students always

like to get books form library. However, some students like to buy or borrow from

friends. Sometimes, they get the books form the presents of birthday or competitions. If

they borrow from library, it saves on money. However, we must return back the book

and cannot borrow a lot of books. Mean while, we can read many books and keep it by

buying books from the shop. However, it waste on money spend. From here, I can

compare the number of student who gets the book from library, borrow from friends and

buy from the shop.

I choose this topic because reading is very important in our life. It easy but it took

long time to spend on books. This activity is very boring but it is important for the

knowledge for the student. Even it tired, but we can get much knowledge when read

many books. The students feel confident when doing the activities and communicate

with another person.

3.0 Objectives of the survey

The objective of the survey is to find the number of the books read by the IPTHO

students in a week. From these topics, I can identify the types of books that students

like to read and how they get the books. In this survey, there are a few number of

information that I can gain.

1. I can get the average number of the books that had been read by the students.

2. I can get the information where students get the books to read.

3. I can identify the types of books that students like to read.

4.0 Importance of the survey

The importance of this survey to me is I can identify the number of the books

read by the IPTHO students in a week. Besides that, I can get the types of books that

they like to read and how they get the book. Here, I can see the percentage of students

through the bar chart, pie chart and the histogram. From this survey also I can fulfill the

question for the basic mathematics coursework.

This survey is important for IPTHO because the administration department have

to fulfill the facilities needed by the student in the hostel. If the number of the students

that like to read the books is more than the number of students doesn’t like to read, it is

possible for administration to increase the number of book in the library. So, the

students will always come to library and read many books in a week. The student will be

feeling satisfied and can get much knowledge if the facility is fine.

Besides that, the success of the student is depending on the time management.

If the library doesn’t have many books to read, they will feel boring and don’t like to read

anymore. When this is happen, the time table has been interrupted and the activities

unwell done.

5.0 Limitation of the survey

The limitation of this survey is 40 people. From 40 people, it is divided into 2,

which is 20 for male students and 20 for female students. The 40 respondent taken

among the students in IPTHO. This survey took place in IPTHO.

6.0 Definition of term

6.1 Statistics

Is a mathematical science pertaining to the collection, analysis, interpretation or

explanation, and presentation of data. It is applicable to a wide variety of academic

disciplines, from the natural and social sciences to the humanities, government and

business.

6.2 Statistical population

Is a set of entities concerning which statistical inferences are to be drawn, often based

on a random sample taken from the population

6.3 Skewness

Is a measure of the asymmetry of the probability distribution of a real-valued random

variable.

6.4 Data set (or dataset)

Is a collection of data, usually presented in tabular form. Each column represents a

particular variable. Each row corresponds to a given member of the data set in question.

It lists values for each of the variables, such as height and weight of an object or values

of random numbers. Each value is known as a datum. The data set may comprise data

for one or more members, corresponding to the number of rows.

6.5 Data

refers to a collection of organized information, usually the result of experience,

observation or experiment, other information within a computer system, or a set of

premises. This may consist of numbers, words, or images, particularly as

measurements or observations of a set of variables

6.6 Sample size

Of a statistical sample is the number of observations that constitute it. It is typically

denoted n, a positive integer (natural number). Typically, all else being equal, a larger

sample size leads to increased precision in estimates of various properties of the

population. This can be seen in such statistical rules as the law of large numbers and

the central limit theorem. Repeated measurements and replication of independent

samples are often required in measurement and experiments to reach a desired

precision.

6.7 Sampling

Is that part of statistical practice concerned with the selection of individual observations

intended to yield some knowledge about a population of concern, especially for the

purposes of statistical inference. Each observation measures one or more properties

(weight, location, etc.) of an observable entity enumerated to distinguish objects or

individuals. Survey weights often need to be applied to the data to adjust for the sample

design

6.8 Frequency

of an event i is the number ni of times the event occurred in the experiment or the study.

These frequencies are often graphically represented in histograms. We speak of

absolute frequencies, when the counts ni themselves are given and of (relative)

frequencies.

6.9 Mode

Is the value that occurs the most frequently in a data set or a probability distribution. In

some fields, notably education, sample data are often called scores, and the sample

mode is known as the modal score.

6.10 Observation

Is either an activity of a living being (such as a human), which senses and assimilates

the knowledge of a phenomenon, or the recording of data using instruments. The term

may also refer to any datum collected during this activity.

6.11 Median

is described as the number separating the higher half of a sample, a population, or a

probability distribution, from the lower half. The median of a finite list of numbers can be

found by arranging all the observations from lowest value to highest value and picking

the middle one.

7.1 Collecting Data

Question 1: What type of books you like to read?

M C E C A N A N M E

C M C N N C M C N M

N N N E C A N N A N

C E M N N M N M N C

M = magazine

A = academic

C = comic

N = Novel

E = Entertainment

7.2 Organizing and Managing Data

Tally Chart

Answer

Tally

Frequency

Magazines //// /// 8

Academic //// 4

Comic //// //// 9

Novel //// //// //// 15

Entertainment //// 4

TOTAL 40

Frequency Table

Mode = 15 (Novel)

Median = N

2

= 40

2

= 20 therefore median is comic

Mean = total frequency

Number of values

= 40

4

= 10

Answer Frequency Cumulative frequency

Magazines 8 8

Academic 4 12

Comic 9 21

Novel 15 36

Entertainment 4 40

7.3 Representation of Data

Pie chart

20%

10%

22%

38%

10%

Type of books

Magazines

Academic

Comic

Novel

Entertainment

7.4 Interpretation and Making Inferences

The most popular books are ‘N’ novel and it’s the mode for the data. Therefore,

that mean 15 people (38%) of 40 answer ‘N’, 8 people (20%) answers ‘M’, 4 people

(10%) answers ‘A’, 9 people (22%) answers ‘C’ and 4 people (10%) more answer ‘E’,

This shown that 15 people like to read novel.

From the survey above, it can be said that people in IPTHO like to read novel

rather than magazines, academic, comic and entertainment books. Therefore, library

must add their novel collection because majority of student in IPTHO like to read novel.

7.5 Suggestions

The pie chart show that students in IPGM Kampus Tun Hussein Onn like to read

novel. However, academic books are the lowest percentage in the chart. This situation

show knowledge of students is poor because less reading of academic books. Although

novel is good to read but as the students in IPGM we must increase our knowledge.

Many suggestions we can do such as increase the number of academic books

in library. Students like to borrow books from the library. If there are more academic

books than novel, they will choose academic books to read rather than novel. From the

pie chart also we can see students like to read comic and magazines. Man always likes

to read comic and lady like to read magazines. Therefore the shop must lower the

price of academic books, so students will buy the books rather than comic or

magazines.

Illustration and color can attract people. Therefore, academic books must be

design with many pictures and color to attract students. Students will buy the

academic books because they like to read with many color and pictures insides it.

8.1 Collecting data

Question 2: where you get the book to read?

F B L L F L L L L L

B F L F L L B L P B

B L L L L P L L L P

P L B P L B F L L L

L = Library

B = Buy

F = from friends

P = Present

8.2 Organizing and managing data

Tally chart

Sources

Tally

Frequency

Library //// / 24

Buy // 7

From friends //// 4

Present //// //// //// // 5

TOTAL 40

Frequency table

Colors Frequency

Library 24

Buy 7

From friend 4

Present 5

Mode: = 24 (library)

Median: = 24 + 7 + 4 + 5

2

= 20, so the median is at library (24)

Mean: = 24 + 7 + 4 + 5

4

= 40 ÷ 4

= 10

8.3 Representation of Data:

Bar chart

0

5

10

15

20

25

librarybuy

From friendsPresent

24

7

4 5

Sources To Get The Books

8.4 Interpretation and Making Inferences

The bar chart shown that library is the highest frequency from other sources of

books. The frequency for this color is 24 and it’s the mode for this data. Median of the

bar chart is 6This is because most of the people in IPTHO get the books from the

library. Besides that library has many books and novel to read.

8.5 Suggestions

The bar chart shown that library is the highest frequency sources of students get

the books to read. Therefore library department must increase their quantity of books to

ensure that students can read many books in a week. Bar chart also shown that number

of students buy a book is less because of the price. The shop such as POPULAR must

lower the price of books. Many students will buy the books if the price is reasonable.

Library department also must increase the space; so many students can enter

the library. If many students enter the library, they will read many books and can get

much knowledge. As the teacher, knowledge’s are very important in our life.

Institute department also must build more libraries in IPGM to make students

read many books in a week. When many libraries build, students can get the books

from library only rather than go shop to buy books.

9.1 Collecting data

Question 3: How frequent did you read the books in a week?

1-10

11-20

21-30

11-20

21-30

1-10

11-20

1-10

11-20

1-10

31-40

11-20

1-10

21-30

1-10

11-20

21-30

11-20

11-20

31-40

1-10

1-10

1-10

11-20

1-10

11-20

11-20

11-20

1-10

1-10

1-10

41-50

11-20

1-10

11-20

31-40

1-10

41-50

11-20

11-20

9.2 Organizing and managing data

Tally Chart

Times

Tally

Frequency

1-10 //// //// //// 15

11-20 //// //// //// / 16

21-30 //// 4

31-40 /// 3

41-50 //// 2

TOTAL

40

Frequency Table

Times

Frequency

1-10 15

11-20 16

21-30 4

31-40 3

40-50 2

TOTAL

40

Mode = 11- 20 (16)

The Median

So, Median = L + [ ( N/2 – F ) / fm ] C

L = Lower boundary of the median class

L = 10.5

N = Total frequency

= 40

F = Cumulative frequency before L

= 15

Fm = Frequency of L

= 16

C = size of median class.

= 11

So, Median = 10.5 + [(40/2 – 15) / 16] 11

= 13.94

Times

Frequency

Cumulative Frequency

1-10 15 15

11-20 16 31

21-30 4 35

31-40 3 38

40-50 2 40

The Mean

Times

Frequency (f)

Mid point(x)

fx

1-10 15 1+10 = 5.5

2

15 x 5.5 = 82.5

11-20 16 11+20 = 15.5

2

16 x 15.5 = 248

21-30 4 21+30 = 25.5

2

4 x 25.5 = 102

31-40 3 31+40 = 35.5

2

3 x 35.5 = 106.5

40-50 2 40+50 = 45.5

2

2 x 45.5 = 91

TOTAL

40 (N)

127.5

630 (fx)

Mean = Total fx N = 630

40

= 15.75

9.3 Represent of Data:

Histogram

Z z

The number of read in a week

0

2

4

6

8

10

12

14

Number of read

Frequency

(a) 1 - 10

(b) 11 - 20

(c) 21 - 30

(d) 31 - 40

(d) 40 - 50

16

9.4 Interpretation and Making Inferences

The histogram shown, the mode is 11-20 and the frequency is 16. Median for the

data are 13.94 and mean is 15.75. From the data, it can be concluding that most of the

student in IPTHO read the books between 11-20 times in a week. This shown that

average of student like to read in IPGM Kampus Tun Hussein Onn is moderate level.

9.5 Suggestions The histograms shown that most of the students read the books are 11- 20 times

in a week. The level of reading is moderate. To increase the frequency, institute must

make a campaign of reading or reading month. This campaign can make students

realizes the benefit of reading books in daily life. After that, students will always read the

books because they know the benefit contains when they read the books.

Institute department also can make competitions to attract students read the

books. Students will read many books in a week to win the competition and get the

present. Therefore, the frequency of students that read books in a week will increase.

Who read many books can win the competition.

Illustration and color can attract people. Therefore, academic books must be

design with many pictures and color to attract students. Students will buy the academic

books because they like to read with many color and pictures insides it. This attraction

can increase the frequency of reading books in a week. Many books you read, much

knowledge you can get.

10.0 Reflections

In my work to done this task, I had reaches many trouble. I can’t find the material

about mode, median and mean. So I try to find another way. I try to find the material of

mode, median and mean in internet and books from library.

I also cannot find the best material in the books from library because it not a

university level but academic books in primary school only. After that I try to find the

type of graphs in the internet. I tried to use the internet to identified type of graphs and

complete my task in Basic Mathematics.

Beside that, I also stuck when I do this task because of the task’s question. I

cannot understand what is the task exactly wanted. So I decide to see my lecturer, Mr.

Low Piek Hong to ask him kindness to show me what are this task really want. It is not

easy to meet with Mr. Low Piek Hong because he always not is around the Institute.

Sometimes he has meeting, so I cannot see him if I have a problem in my task.

In addition, I can feel the strength and weakness when do this task. The

weakness is how to make the survey and what is the problem in the survey. Another

that is how to draw a graph based on the survey. I feel this is very hard to do because

we do not have many times in institute doing that survey. When I want to do this task, I

fell very weak because do not have any experiences make a survey before this.

The strength when do this task is I know how to make a survey. I can use this

skill when I become a teacher soon. I also know how to draw pie chart, bar chart and

histogram based on the survey. In addition, I know what is mode, median and mean in

the graph. This knowledge is very important to me when I become a teacher soon. I can

use this knowledge when do the survey of the result in my class.

I feel much enjoyed when doing the task because I can learn many things such

as how to find books in the library, how to search internet and the outline of the report.

All of it can help me in my studies to become a teacher soon. Because of him, now I

have understand what to do and then I do it on my own and completely done before the

date of submission. I really thankful to all of who had helped me to did my work.

12.0 References

http://en.wikipedia.org/wiki/Mode_(statistics)

http://en.wikipedia.org/wiki/Median

http://en.wikipedia.org/wiki/Frequency_ (statistics)

http://en.wikipedia.org/wiki/Sample_size

http://en.wikipedia.org/wiki/Sampling_ (statistics)

http://en.wikipedia.org/wiki/Skewness

http://en.wikipedia.org/wiki/Statistics

http://en.wikipedia.org/wiki/Data

http://en.wikipedia.org/wiki/Observation

http://en.wikipedia.org/wiki/Experience

http://en.wikipedia.org/wiki/Data_set

http://en.wikipedia.org/wiki/Statistical_population

http://en.wikipedia.org/wiki/Population

http://www.quickmba.com/marketing/research/qdesign/

www.managementhelp.org/evaluatn/questnrs

https://www.surveymonkey.com/s.aspx?sm=H97gMFsgb84dST3gRuWDmQ_3d_3d

http://www.keysurvey.com/resources/articles_read_more1.jsp

http://www.ne.jp/asahi/macgregor/classes/Resources/questionnaire.html

http://www.statpac.com/research-papers/questionnaires.htm

http://changingminds.org/explanations/research/measurement/types_data.htm

http://msg.calsnet.arizona.edu/icyf/docs/basic_stats.ppt#266,13,More data reduction

http://www.andrews.edu/~calkins/math/edrm611/edrm13.htm

Ang yian, T., Angeline Francis, Chew Poh ,C.,Lee Sau, K., Lee Yet, L., Ng Keat, S.

( 2009). Malaysian University Mathematics. Selangor Darul Ehsan: Federal

Usha Devi, V, (2008) PMR Mathematicss. Selangor Darul Ehsan: Sistem

Mathematics and Graphs:http:// LearningNerd.htm

Advanced Composition for Non-Native Speakers of English: http://eslbee.com