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# Assigment 1

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### Assigment 1

1. 1. 1 CONFESSION PAGE ―I admit this coursework is my own works accept a few of the information and material from sources that I found‖ Signature : ……………………………………………………….. Name : MOHD FAKHREE HAZREEN BIN AZMI Date : Signature : ……………………………………………………….. Name : AHMAD ASYRAF BIN M. SHAIPULAH Date : Signature : ……………………………………………………….. Name : FAHMI BIN MOHD YASIN Date :
3. 3. 3 CONTENTS CONFESSION PAGE APRECIATION CONTENT TASK 1.0 INTRODUCTION 1.1 MODE 1.2 MEAN 1.3 MEDIAN 1.4 STANDARD DEVIATION 2.0 INTRODUCTION OF TASK 3.0 OBJECTIVE OF RESEARCH 4.0 RESEARCH METHOLOGY 5.0 ANALYZED DATA 5.1 TABLE OF DATA 5.2 THE CHART OF DATA 5.2.1 DATA UNIT PPISMP RBT 1 5.2.2 DATA UNIT PPISMP RBT2 6.0 INTERPRETATION REFLECTIONS BIBLIOGRAPHY
5. 5. 5 1.0 INTRODUCTION Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. Statisticians improve the quality of data with the design of experiments and survey sampling. Statistics also provides tools for prediction and forecasting using data and statistical models. Statistics is applicable to a wide variety of academic disciplines, including natural and social sciences, government, and business. Statistical methods can be used to summarize or describe a collection of data; this is called descriptive statistics. This is useful in research, when communicating the results of experiments. In addition, patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations, and are then used to draw inferences about the process or population being studied; this is called inferential statistics. Inference is a vital element of scientific advance, since it provides a prediction (based in data) for where a theory logically leads. To further prove the guiding theory, these predictions are tested as well, as part of the scientific method. If the inference holds true, then the descriptive statistics of the new data increase the soundness of that hypothesis. Descriptive statistics and inferential statistics (a.k.a., predictive statistics) together comprise applied statistics. There is also a discipline called mathematical statistics, which is concerned with the theoretical basis of the subject. The word statistics can either be singular or plural. In its singular form, statistics refers to the mathematical science discussed in this article. In its plural form, statistics is the plural of the word statistic, which refers to a quantity (such as a mean) calculated from a set of data.
6. 6. 6 1.1 MODE The mode in a list of numbers refers to the list of numbers that occur most frequently. A trick to remember this one is to remember that mode starts with the same first two letters that most does. Most frequently - Mode. You'll never forget that one! Examples: Find the mode of: 9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8, Put the numbers is order for ease: 3, 3, 8, 9, 15, 15, 15, 17, 17, 27, 40, 44, 44, The Mode is 15 (15 occurs the most at 3 times) 1.2 MEAN A numerical value representing the average worth of a set of data. It is calculated by adding together all the values of a set and dividing the total by the number of values. It is quick and easy to calculate, but the presence of an unusually high or low value distorts the mean from a truly central value. Furthermore, it is unreliable when the data set contains only a few values. The mean of grouped data may be established by multiplying the mid-point of each class by the number of observations in each class, summing these figures, and dividing the sum by the total number of values in the data set. Example: Four tests results: 15, 18, 22, 20 The sum is: 75 Divide 75 by 4: 18.75 The 'Mean' (Average) is 18.75 (Often rounded to 19)
8. 8. 8 also important in finance, where the standard deviation on the rate of return on an investment is a measure of the volatility of the investment. The term standard deviation was first used in writing by Karl Pearson in 1894, following his use of it in lectures. This was as a replacement for earlier alternative names for the same idea: for example Gauss used "mean error". A useful property of standard deviation is that, unlike variance, it is expressed in the same units as the data. When only a sample of data from a population is available, the population standard deviation can be estimated by a modified quantity called the sample standard deviation, The formula of standard deviation.
9. 9. 9 2.0 INTRODUCTION OF TASK Based on the task had given about statistic, my group are made a research to students Program Persedian Ijazah Sarjana Muda Semester 3 Design and Technology 1 and 2 about the size of their shoes. We choose this research because this research can make us easily to find central tendency and measure of dispersion. The data, we put in table for make us easily to understand the research and we represent it in visual illustration to make me more understand about the research. 3.0 OBJECTIVES OF RESEARCH To interpret data by using visual illustration. To compare using central tendency. To compare using measure of dispersion. To know the size of shoes students Design and Technology 1 and 2. 4.0 RESEARCH METHODOLOGY Surfing internet. Collecting the data. Refer to revision book. Make the research students.
10. 10. 10 5.0 ANALYZED DATA 5.1 TABLE OF DATA THE TABLE OF THE SIZE OF STUDENTS SHOES 3PPISMP JULAI 2008 INTAKE DESIGN AND TECHNOLOGY 1 AND 2 CLASS / SIZE OF SHOES 4 5 6 7 8 9 S U B T O T A L Design and Technology 1 4 5 0 4 4 1 Design and Technology 2 3 5 2 3 1 3 TOTAL OF STUDENTS 7 10 2 7 5 4 35
11. 11. 11 5.2 THE CHART OF DATA 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 4 5 6 7 8 9 THETOTALOFSTUDENTS SIZE OF SHOES THE SIZE OF SHOES 3PPISMP DT 1 AND DT2 JULAI 08 INTAKE DT 1 DT2
12. 12. 12 5.2.1 DATA UNIT PPISMP RBT 1 MODE In this research, we can conclude that this data is ungroup data. So, we have arranged the data in increasing data below; Ungroup data =4,4,4,4,5,5,5,5,5,7,7,7,7,8,8,8,8,9 The size of shoes that occur most often is 5. So, the mode is 5
13. 13. 13 MEAN The sum of the values divided by the number of values--often called the "average." Mean = = the mean for size of shoes for RBT 1 ‗s unit is 6.11
14. 14. 14 MEDIAN We can conclude that this data is ungroup data in this research. So, we have arranged the data in increasing data below; Ungroup data =4,4,4,4,5,5,5,5,5,7,7,7,7,8,8,8,8,9 Median = = 6 So,the median for DT1 is 6. MEDIAN
15. 15. 15 STANDARD DEVIATION: Mean=6.11 As example: x=4 2 4 4.4521 4 4.4521 4 4.4521 4 4.4521 5 1.2321 5 1.2321 5 1.2321 5 1.2321 5 1.2321 7 0.7921 7 0.7921 7 0.7921 7 0.7921 8 3.5721 8 3.5721 8 3.5721 8 3.5721 9 8.3521 ∑ 2 49.7778
16. 16. 16
17. 17. 17 5.2.2 UNIT PPISMP RBT 2 MODE In this research, we can conclude that this data is ungroup data. So, we have arranged the data in increasing data below; Ungroup data =4,4,4,5,5,5,5,5,6,6,7,7,7,8,9,9,9 The size of shoes that occur most often is 5. So, the mode is 5
18. 18. 18 MEAN The sum of the values divided by the number of values--often called the "average." Mean = = the mean for size of shoe for RBT 2 ‗s unit is 6.18
19. 19. 19 MEDIAN We can conclude that this data is ungroup data in this research. So, we have arranged the data in increasing data below; Ungroup data =4,4,4,5,5,5,5,5,6,6,7,7,7,8,9,9,9 The median size of shoes for unit science is 6 because it‘s position is center MEDIAN
20. 20. 20 STANDARD DEVIATION: Mean=6.18 As example: x=4 2 4 4.7524 4 4.7524 4 4.7524 5 1.3924 5 1.3924 5 1.3924 5 1.3924 5 1.3924 6 0.0324 6 0.0324 7 0.6724 7 0.6724 7 0.6724 8 3.3124 9 7.9524 9 7.9524 9 7.9524 ∑ 2 50.4708
21. 21. 21
22. 22. 22 6.0 INTERPRETATION Based on the both data, we can conclude that the value of standard deviation is same. This is because the majority size of both class almost same. Beside that the age among the students are almost same. So, that the size of shoes not very different at all.