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CONTENTTOPICS                                                         PageStudent’s profile ……………………………………………………………………………....
9.0 HISTOGRAM       9.1 Collecting data ……………………………………………………………………16       9.3 Organizing and managing the data …………………………...
1.0 Background of the survey       Today, the knowledge’s are one of the important things for humankind. It showsthe level...
2.0 Problem statement       From this survey, there are three problem questioned in my mind. The firstproblem is the numbe...
3.0 Objectives of the survey       The objective of the survey is to find the number of the books read by the IPTHOstudent...
4.0 Importance of the survey       The importance of this survey to me is I can identify the number of the booksread by th...
6.0 Definition of term6.1 StatisticsIs a mathematical science pertaining to the collection, analysis, interpretation orexp...
6.5 Datarefers to a collection of organized information, usually the result of experience,observation or experiment, other...
6.8 Frequencyof an event i is the number ni of times the event occurred in the experiment or the study.These frequencies a...
7.1 Collecting DataQuestion 1: What type of books you like to read?M        C          E      C        A               N  ...
Frequency Table         Answer                  Frequency         Cumulative frequencyMagazines                           ...
7.3 Representation of DataPie chart                             Type of books                      10%                    ...
7.4 Interpretation and Making Inferences      The most popular books are ‘N’ novel and it’s the mode for the data. Therefo...
8.1 Collecting dataQuestion 2: where you get the book to read?F          B       L      L        F             L    L   L ...
Frequency table              Colors                                 Frequency              Library                        ...
8.3 Representation of Data:Bar chart                          Sources To Get The Books     25        24     20      15    ...
8.4 Interpretation and Making Inferences      The bar chart shown that library is the highest frequency from other sources...
9.1 Collecting dataQuestion 3: How frequent did you read the books in a week? 1-10     11-20         21-30     11-20   21-...
Frequency Table                     Times   Frequency                     1-10       15                     11-20      16 ...
The Median                               Frequency        Times                                           Cumulative Frequ...
The Mean      Times    Frequency (f)            Mid point(x)            fx      1-10             15      1+10 = 5.5       ...
9.3 Represent of Data:HistogramZ z                         The number of read in a week   Frequency       16       14     ...
9.4 Interpretation and Making Inferences   The histogram shown, the mode is 11-20 and the frequency is 16. Median for thed...
10.0 Reflections       In my work to done this task, I had reaches many trouble. I can’t find the materialabout mode, medi...
12.0 Referenceshttp://en.wikipedia.org/wiki/Mode_(statistics)http://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wi...
https://www.surveymonkey.com/s.aspx?sm=H97gMFsgb84dST3gRuWDmQ_3d_3dhttp://www.keysurvey.com/resources/articles_read_more1....
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Asigmen math

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Transcript of "Asigmen math"

  1. 1. CONTENTTOPICS PageStudent’s profile ……………………………………………………………………………..…. iContents ………………………………………………………………………………………... iiBACKGROUND 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 …………………………………………………………...…. 5-7THE SURVEY7.0 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 ……………………………………………………………………..…118.0 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
  2. 2. 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 ……………………………………………………………………… 2110.0 REFLECTION ………………………………………………………………...……… 2211.0 THE SURVEY ………………………………………………………………..………. 2312.0 REFERENCES ……………………………………………………………..……. 24-25
  3. 3. 1.0 Background of the survey Today, the knowledge’s are one of the important things for humankind. It showsthe level of the person. Besides that, the knowledge’s show the symbol of the races andthe religion. If we are lazy to explore the knowledge, our life will not success andbecome meaningless. Therefore, it is possible there are many type of book that we canget knowledge form it. Then, if we want to read, we must buy more books. How can an individual spendtheir 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 buyexpensive books or not. For this task, it will be focusing on how many books are read by the student inthe college. From my observation, I see every student have various hobbies and it isspecific for the daily activities. For example, there are many students borrow a bookform the library. However, are they really read the entire book or just for revision. In myimpression, maybe he or she has many books but not read all. In addition, they don’tlike to borrow books rather than buy it. By that way, it depends of the races. The number of Chinese students that readthe books is more than Malay and Indian students. Time also related with. If they don’thave time to read, they will do other things or sleep. On the other hand, if they buy abook, 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 ofbook that students read in my campus. Besides that, it also to fulfill the assignmentquestion for the basic mathematics coursework.
  4. 4. 2.0 Problem statement From this survey, there are three problem questioned in my mind. The firstproblem is the number of book that had been read by the student. It is because some ofthe student doesn’t read any book in a week. Here I can see the percentage of thebooks that had been read. If the percentage is low, maybe he or she doesn’t like toread. In addition, he or she is lack of knowledge. The next problem is how the student gets the books. It is related with the thirdproblem, what kinds of book that students like to read. In the campus, students alwayslike to get books form library. However, some students like to buy or borrow fromfriends. Sometimes, they get the books form the presents of birthday or competitions. Ifthey borrow from library, it saves on money. However, we must return back the bookand cannot borrow a lot of books. Mean while, we can read many books and keep it bybuying books from the shop. However, it waste on money spend. From here, I cancompare the number of student who gets the book from library, borrow from friends andbuy from the shop. I choose this topic because reading is very important in our life. It easy but it tooklong time to spend on books. This activity is very boring but it is important for theknowledge for the student. Even it tired, but we can get much knowledge when readmany books. The students feel confident when doing the activities and communicatewith another person.
  5. 5. 3.0 Objectives of the survey The objective of the survey is to find the number of the books read by the IPTHOstudents in a week. From these topics, I can identify the types of books that studentslike to read and how they get the books. In this survey, there are a few number ofinformation 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.
  6. 6. 4.0 Importance of the survey The importance of this survey to me is I can identify the number of the booksread by the IPTHO students in a week. Besides that, I can get the types of books thatthey like to read and how they get the book. Here, I can see the percentage of studentsthrough the bar chart, pie chart and the histogram. From this survey also I can fulfill thequestion for the basic mathematics coursework. This survey is important for IPTHO because the administration department haveto fulfill the facilities needed by the student in the hostel. If the number of the studentsthat like to read the books is more than the number of students doesn’t like to read, it ispossible for administration to increase the number of book in the library. So, thestudents will always come to library and read many books in a week. The student will befeeling 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 readanymore. When this is happen, the time table has been interrupted and the activitiesunwell 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 takenamong the students in IPTHO. This survey took place in IPTHO.
  7. 7. 6.0 Definition of term6.1 StatisticsIs a mathematical science pertaining to the collection, analysis, interpretation orexplanation, and presentation of data. It is applicable to a wide variety of academicdisciplines, from the natural and social sciences to the humanities, government andbusiness.6.2 Statistical populationIs a set of entities concerning which statistical inferences are to be drawn, often basedon a random sample taken from the population6.3 SkewnessIs a measure of the asymmetry of the probability distribution of a real-valued randomvariable.6.4 Data set (or dataset)Is a collection of data, usually presented in tabular form. Each column represents aparticular 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 valuesof random numbers. Each value is known as a datum. The data set may comprise datafor one or more members, corresponding to the number of rows.
  8. 8. 6.5 Datarefers to a collection of organized information, usually the result of experience,observation or experiment, other information within a computer system, or a set ofpremises. This may consist of numbers, words, or images, particularly asmeasurements or observations of a set of variables6.6 Sample sizeOf a statistical sample is the number of observations that constitute it. It is typicallydenoted n, a positive integer (natural number). Typically, all else being equal, a largersample size leads to increased precision in estimates of various properties of thepopulation. This can be seen in such statistical rules as the law of large numbers andthe central limit theorem. Repeated measurements and replication of independentsamples are often required in measurement and experiments to reach a desiredprecision.6.7 SamplingIs that part of statistical practice concerned with the selection of individual observationsintended to yield some knowledge about a population of concern, especially for thepurposes of statistical inference. Each observation measures one or more properties(weight, location, etc.) of an observable entity enumerated to distinguish objects orindividuals. Survey weights often need to be applied to the data to adjust for the sampledesign
  9. 9. 6.8 Frequencyof 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 ofabsolute frequencies, when the counts ni themselves are given and of (relative)frequencies.6.9 ModeIs the value that occurs the most frequently in a data set or a probability distribution. Insome fields, notably education, sample data are often called scores, and the samplemode is known as the modal score.6.10 ObservationIs either an activity of a living being (such as a human), which senses and assimilatesthe knowledge of a phenomenon, or the recording of data using instruments. The termmay also refer to any datum collected during this activity.6.11 Medianis described as the number separating the higher half of a sample, a population, or aprobability distribution, from the lower half. The median of a finite list of numbers can befound by arranging all the observations from lowest value to highest value and pickingthe middle one.
  10. 10. 7.1 Collecting DataQuestion 1: What type of books you like to read?M C E C A N A N M EC M C N N C M C N MN N N E C A N N A NC E M N N M N M N CM = magazineA = academicC = comicN = NovelE = Entertainment7.2 Organizing and Managing DataTally Chart Answer Tally Frequency Magazines //// /// 8 Academic //// 4 Comic //// //// 9 Novel //// //// //// 15Entertainment //// 4 TOTAL 40
  11. 11. Frequency Table Answer Frequency Cumulative frequencyMagazines 8 8Academic 4 12Comic 9 21Novel 15 36Entertainment 4 40Mode = 15 (Novel)Median = N 2 = 40 2 = 20 therefore median is comicMean = total frequency Number of values = 40 4 = 10
  12. 12. 7.3 Representation of DataPie chart Type of books 10% 20% 10% Magazines 38% Academic Comic 22% Novel Entertainment
  13. 13. 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 novelrather than magazines, academic, comic and entertainment books. Therefore, librarymust 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 readnovel. However, academic books are the lowest percentage in the chart. This situationshow knowledge of students is poor because less reading of academic books. Althoughnovel 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 booksin library. Students like to borrow books from the library. If there are more academicbooks than novel, they will choose academic books to read rather than novel. From thepie chart also we can see students like to read comic and magazines. Man always likesto read comic and lady like to read magazines. Therefore the shop must lower theprice of academic books, so students will buy the books rather than comic ormagazines. Illustration and color can attract people. Therefore, academic books must bedesign with many pictures and color to attract students. Students will buy theacademic books because they like to read with many color and pictures insides it.
  14. 14. 8.1 Collecting dataQuestion 2: where you get the book to read?F B L L F L L L L LB F L F L L B L P BB L L L L P L L L PP L B P L B F L L LL = LibraryB = BuyF = from friendsP = Present8.2 Organizing and managing dataTally chart Sources Tally Frequency Library //// / 24 Buy // 7From friends //// 4 Present //// //// //// // 5 TOTAL 40
  15. 15. Frequency table Colors Frequency Library 24 Buy 7 From friend 4 Present 5Mode: = 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
  16. 16. 8.3 Representation of Data:Bar chart Sources To Get The Books 25 24 20 15 10 7 5 4 5 0 library buy From friends Present
  17. 17. 8.4 Interpretation and Making Inferences The bar chart shown that library is the highest frequency from other sources ofbooks. The frequency for this color is 24 and it’s the mode for this data. Median of thebar chart is 6This is because most of the people in IPTHO get the books from thelibrary. 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 getthe books to read. Therefore library department must increase their quantity of books toensure that students can read many books in a week. Bar chart also shown that numberof students buy a book is less because of the price. The shop such as POPULAR mustlower 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 enterthe library. If many students enter the library, they will read many books and can getmuch knowledge. As the teacher, knowledge’s are very important in our life. Institute department also must build more libraries in IPGM to make studentsread many books in a week. When many libraries build, students can get the booksfrom library only rather than go shop to buy books.
  18. 18. 9.1 Collecting dataQuestion 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 11-209.2 Organizing and managing dataTally Chart Times Tally Frequency 1-10 //// //// //// 15 11-20 //// //// //// / 16 21-30 //// 4 31-40 /// 3 41-50 //// 2 TOTAL 40
  19. 19. Frequency Table Times Frequency 1-10 15 11-20 16 21-30 4 31-40 3 40-50 2 TOTAL 40Mode = 11- 20 (16)
  20. 20. The Median Frequency Times Cumulative Frequency 1-10 15 15 11-20 16 31 21-30 4 35 31-40 3 38 40-50 2 40So, 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. = 11So, Median = 10.5 + [(40/2 – 15) / 16] 11 = 13.94
  21. 21. The Mean Times Frequency (f) Mid point(x) fx 1-10 15 1+10 = 5.5 15 x 5.5 = 82.5 2 11-20 16 11+20 = 15.5 16 x 15.5 = 248 2 21-30 4 21+30 = 25.5 4 x 25.5 = 102 2 31-40 3 31+40 = 35.5 3 x 35.5 = 106.5 2 40-50 2 40+50 = 45.5 2 x 45.5 = 91 2 TOTAL 40 (N) 127.5 630 (fx) Mean = Total fx N = 630 40 = 15.75
  22. 22. 9.3 Represent of Data:HistogramZ z The number of read in a week Frequency 16 14 12 10 (a) 1 - 10 8 (b) 11 - 20 6 (c) 21 - 30 (d) 31 - 40 4 (d) 40 - 50 2 0 Number of read
  23. 23. 9.4 Interpretation and Making Inferences The histogram shown, the mode is 11-20 and the frequency is 16. Median for thedata are 13.94 and mean is 15.75. From the data, it can be concluding that most of thestudent in IPTHO read the books between 11-20 times in a week. This shown thataverage 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 timesin a week. The level of reading is moderate. To increase the frequency, institute mustmake a campaign of reading or reading month. This campaign can make studentsrealizes the benefit of reading books in daily life. After that, students will always read thebooks because they know the benefit contains when they read the books. Institute department also can make competitions to attract students read thebooks. Students will read many books in a week to win the competition and get thepresent. 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 bedesign with many pictures and color to attract students. Students will buy the academicbooks because they like to read with many color and pictures insides it. This attractioncan increase the frequency of reading books in a week. Many books you read, muchknowledge you can get.
  24. 24. 10.0 Reflections In my work to done this task, I had reaches many trouble. I can’t find the materialabout mode, median and mean. So I try to find another way. I try to find the material ofmode, median and mean in internet and books from library. I also cannot find the best material in the books from library because it not auniversity level but academic books in primary school only. After that I try to find thetype of graphs in the internet. I tried to use the internet to identified type of graphs andcomplete my task in Basic Mathematics. Beside that, I also stuck when I do this task because of the task’s question. Icannot 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 noteasy 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. Theweakness is how to make the survey and what is the problem in the survey. Anotherthat is how to draw a graph based on the survey. I feel this is very hard to do becausewe do not have many times in institute doing that survey. When I want to do this task, Ifell 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 thisskill when I become a teacher soon. I also know how to draw pie chart, bar chart andhistogram based on the survey. In addition, I know what is mode, median and mean inthe graph. This knowledge is very important to me when I become a teacher soon. I canuse 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 suchas 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 Ihave understand what to do and then I do it on my own and completely done before thedate of submission. I really thankful to all of who had helped me to did my work.
  25. 25. 12.0 Referenceshttp://en.wikipedia.org/wiki/Mode_(statistics)http://en.wikipedia.org/wiki/Medianhttp://en.wikipedia.org/wiki/Frequency_ (statistics)http://en.wikipedia.org/wiki/Sample_sizehttp://en.wikipedia.org/wiki/Sampling_ (statistics)http://en.wikipedia.org/wiki/Skewnesshttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Datahttp://en.wikipedia.org/wiki/Observationhttp://en.wikipedia.org/wiki/Experiencehttp://en.wikipedia.org/wiki/Data_sethttp://en.wikipedia.org/wiki/Statistical_populationhttp://en.wikipedia.org/wiki/Populationhttp://www.quickmba.com/marketing/research/qdesign/www.managementhelp.org/evaluatn/questnrs
  26. 26. https://www.surveymonkey.com/s.aspx?sm=H97gMFsgb84dST3gRuWDmQ_3d_3dhttp://www.keysurvey.com/resources/articles_read_more1.jsphttp://www.ne.jp/asahi/macgregor/classes/Resources/questionnaire.htmlhttp://www.statpac.com/research-papers/questionnaires.htmhttp://changingminds.org/explanations/research/measurement/types_data.htmhttp://msg.calsnet.arizona.edu/icyf/docs/basic_stats.ppt#266,13,More data reductionhttp://www.andrews.edu/~calkins/math/edrm611/edrm13.htmAng yian, T., Angeline Francis, Chew Poh ,C.,Lee Sau, K., Lee Yet, L., Ng Keat, S. ( 2009). Malaysian University Mathematics. Selangor Darul Ehsan: FederalUsha Devi, V, (2008) PMR Mathematicss. Selangor Darul Ehsan: SistemMathematics and Graphs:http:// LearningNerd.htmAdvanced Composition for Non-Native Speakers of English: http://eslbee.com

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