2. By: SARTIM S, S.Pd. MATHEMATICS TEACHER SMKN 30 JAKARTA unaxepectedly

3. Solve the problem statistics Applying the rules of statistics in problem solving Mean of statistic and statistics Mean of population and sample Data types Table and diagram Mean Median Mode Range Average deviation Standard deviation Semiinterquartile range Percentile range Score default( Z-score) Variation coefficient unaxepectedly

4. Adaptif Statistic Statistic is collection of information is organized, managed, and presented in the form of a table or chart so that illustrate the characteristics of data. Statistics Statistics is a discipline to learn about the collection, analysis, presentation, and drawing a conclusion from the data. Based activities, statistics were divided into two things : 1. Descriptive statistics or deductive statistics is a discipline to learn about the collection, analysis, and presentation of a data. 2 Inference statistics or inductive statistics is a discipline of study drawing conclusions about the results of data processing.

5. Adaptif Population Population is a set of objects from the research that has one or more of the characteristics and the same characteristics. Sampling Sampling is part of the collective population of the right - are correct. Example : 1. A mother will buy oranges. To find out whether the orange is sweet or not, a mother to take one of a number of oranges in the basket for taste. 2. A father to buy a cup of coffee in the coffee shop. To find out if coffee is fit or not with the tongue of the father, the father took a spoon to taste the coffee. 3. To find out if all the class XII students already pay fees, the school principal to request the administration to check the data for all students in class XII.

6. Adaptif Conclusion :  A basket of oranges as a population, while an orange as a sample.  A cup of coffee as a population, while a coffee spoon as a sample.  As population and sample is the class XII students Notes : census When research is done to each member of the population, research is called the census. sampling the theory of sampling (sampling theory) When the research carried out on only part of the population, research is called sampling. Method of determining a representative sample learned specifically in the theory of sampling (sampling theory).

7. Adaptif Mean of data Datum Datum is information (information) obtained from an observation, may be a number, symbol, or character. Collection of data referred to as the datum. Thus, the data is the plural of datum. According to the data are divided into two, namely : Qualitative data a. Qualitative data is data that indicates the nature of an object or situation. Quantitative data b. Quantitative data is the data obtained from the measure or calculate.  Digital or discrete data is the data obtained with a tattoo, consider, or the object.  Size or continuous data is the data obtained in a way to measure the amount of objects.

8. Adaptif According to how the data is divided into two, namely: Primary data a. Primary data is data that is collected and processed by the organization that publishes. Secondary data b. Secondary data is data collected by someone other than the user. Data size Data size is determined by the number of datum in a database. Data size have represented as "n" or "N" or “f i ”. No. Irrigated Plot Many Penggarap (person) Area (m 2 )Rice Gabah Dry Weight (kg) Quality Dry Rice Gabah 1234512345 5 7 15 9 8 2.400 2.700 4.500 3.500 3.100 1.800 2.050 3.460 2.740 2.360 middle well very good less middle Look at the table below :

9. Adaptif To create a frequency distribution table, required several steps : Step 1 : Define the scope or range or range, the biggest datum difference with the smallest. R = x maks – x min Step 2 : Specify the number of classes, one using the rules Sturgess K = 1 + 3,3.logN Value of K is usually taken at intervals 5  K  15

10. Adaptif Step 3 : Determine the width or length or interval class with the formula : For ease in determining the value of midpoint is usually the length of the class selected the odd class. Step 4 : Define the boundary down the first class where the value is  x min provided x max must be included in the class last. Step 5 : Determine the frequency of each class by using the pillar system.

11. Adaptif Example : Make a table of frequency distribution of the daily mathematics test results below : Solution :  R=92 – 40 = 52  K=1 + 3,3.logN =1 + 3,3.log40 =6,29 K  6  i  9 ValueMidpointTurusFrequency 40 – 48 49 – 57 58 – 66 67 – 75 76 – 84 85 – 93 44 53 62 71 80 89 IIII I III IIII IIII IIII IIII II IIII I 6 3 14 9 2 6 fifi 40

12. Adaptif Cumulative Frequency Distribution Table of less than (fk ) Definition : Cumulative frequency of less than is number of frequency of all values that are less than or equal to the value in each class. Cumulative Frequency Distribution Table of more than (fk ) Definition : Cumulative frequency of more than is number of frequency of all values that are more than or equal to the value in each class. Cumulative relative frequency Cumulative relative frequency is the frequency presentase cumulative size of the data.

13. Adaptif ValueMidpointTurusFrequency 40 – 48 49 – 57 58 – 66 67 – 75 76 – 84 85 – 93 44 53 62 71 80 89 IIII I III IIII IIII IIII IIII II IIII I 6 3 14 9 2 6 fifi 40 Lower bound edge = lower bound – 0,5.10 -n Upper bound edge = upper bound + 0,5.10 -n with “n” = the number of digits behind the comma

14. Adaptif ValueFrequency Cumulative frequency of less than Cumulative relative frequency Cumulative frequency of more than Cumulative relative frequency 40 – 48 49 – 57 58 – 66 67 – 75 76 – 84 85 – 93 6 3 14 9 2 6 9 23 32 34 40 15 % 22,5 % 57,5 % 80 % 85 % 100 % 40 34 31 17 8 6 100 % 85 % 77,5 % 42,5 % 20 % 15 % fifi 40 Example : Cumulative frequency distribution table

15. Adaptif Bar Chart Is diagram presented in the form of a rectangle, so that it can describe a situation.

16. Adaptif Pie Chart Is diagram presented in the form of the circle, so that it can describe a situation.

17. Adaptif Line Graph Is diagram presented in the form of a line, so that it can describe a situation.

18. Adaptif Pictogram is diagram showing the data by using tools such as visual images. Diagram interest from many students read the Education Level in Kecamatan “Melek" Year 2009 Level of EducationCount TK SD SMP SMA 200 400 600 Information : 100 people representing

19. Adaptif Histogram is the form of a bar chart but the width is the width of stem intervals while the class of limit - the stem is a class edge, so that each stem coincide with each other 39,5 48,5 57,5 66,5 75,5 84,5 93,5 14 9 6 3 2

20. Adaptif Polygon is broken line connecting the coordinates of each point made from the middle class with frequency. 44 53 62 71 80 89 14 9 6 3 2

21. Adaptif Ogive is smooth curve earned based on the cumulative frequency distribution. There are two types of ogive : 1. Ogive positive, that is kurva list based on the cumulative frequency distribution of less than. 2. Ogive negative, namely kurva list based on the cumulative frequency distribution of more than. Ogive positiveOgive negative

22. Adaptif

23. Central Tendency Centralising of data describe the place or the value of which tends to gather data. 1.Mean is average value of data. Mean weight single data Mean group data Mean a single data

24. Adaptif 2.Median Is middle value after the data sorted. Median group data Median a single data If n odd, is the median value of the datum to- If n even, median is the value of the datum to- Central Tendency Centralising of data describe the place or the value of which tends to gather data.

25. Adaptif 3.Mode is the value in the data that most often appear. Modus group data Mode a single data From the data presented the value of the search appear at most. Central Tendency Centralising of data describe the place or the value of which tends to gather data.

26. Adaptif 1. Range is the biggest datum difference with the smallest. Range = x maks – x min 2.Average Deviation Average Deviation a single data : Average Deviation group data : The size of the how far the observation (data) from the average spread - ratanya referred to as the size of Diversity / Distribution.

27. Adaptif 3.Variance and Standard Deviation variance a single data : standard deviation a single data : or

28. Adaptif 4.Semiinterquartile range atau quartile deviation Kuartil is to share data Ascending into four sections the same lot. interquartile range or overlay : H = Q 3 – Q 1 Semiinterquartile range atau quartile deviation : Q d = ½.(Q 3 – Q 1 ) = ½.H 5.Decile Decile is to share data Ascending into ten sections the same lot.

29. Adaptif 6.Percentile range Percentile is to share data Ascending into one hundred sections the same lot. Percentile range : JP = P 90 – P 10

30. Adaptif Standard score (z-test) Standard score (z-test) is a number that indicates the position of a data against the average - the average in the group. Variation coefficient is a number that high diversity (variation) of data in a group.

31. Adaptif