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REPRESENTING DATA

REPRESENTING DATA. REPRESENTING DATA. a. Stem Diagram Representing data by using picture in stem or rectangle form and it is called stem diagram. It can be painted vertically or horizontally. REPRESENTING DATA. Example 1: This table below shows number students who have problem in a school.

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REPRESENTING DATA

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  1. REPRESENTING DATA

  2. REPRESENTING DATA a. Stem Diagram Representing data by using picture in stem or rectangle form and it is called stem diagram. It can be painted vertically or horizontally. Isi dengan Judul Halaman Terkait

  3. REPRESENTING DATA Example 1: This table below shows number students who have problem in a school. Isi dengan Judul Halaman Terkait

  4. REPRESENTING DATA Determine the number of students who have problem from 2001 to 2004! Answer: The number of students who have problem from 2001 to 2004 = 6+10+13+10 = 39 students Isi dengan Judul Halaman Terkait

  5. REPRESENTING DATA Example 2: The stem diagram below shows the graduation of an SMK since 1992 until 1996. The total number of students who have job since 1992 until 1995 are… Isi dengan Judul Halaman Terkait

  6. REPRESENTING DATA Isi dengan Judul Halaman Terkait

  7. REPRESENTING DATA Question: The number of graduates who have job since 1992 until 1995 are… Answer: = 200+100+225+100+200+75+250+75 = 1225 Isi dengan Judul Halaman Terkait

  8. REPRESENTING DATA b. Circle Diagram Representing data by using picture in circle form is called circle diagram. The circle area is separated in segments . Example 1: Next diagram shows the ways of the students in SMK go to school. If the total number of students is 480 persons, then the students who goes to school on foot is… Cycling 600 On foot By Bus 720 450 By Motorcycle Isi dengan Judul Halaman Terkait

  9. REPRESENTING DATA Answer : The segment degree of students who goes to school on foot: 3600 – (600+720+450) = 1830 The number of students who goes to school on foot: = x 480 students = 244 students Isi dengan Judul Halaman Terkait

  10. REPRESENTING DATA Example 2 : The investigation of the graduate of an SMK represented by this diagram. If the number of graduates who work is 135 persons, then the students who continue the study is……. Entrepreneur Work 45% Jobless 10% Continuing study Isi dengan Judul Halaman Terkait

  11. REPRESENTING DATA Answer : The percentage of graduates who continue their study = 100% - (25%+45%+10%) = 20% The number of graduates who continue study = x 135 Persons = 60 persons Isi dengan Judul Halaman Terkait

  12. REPRESENTING DATA c. Line Diagram Representing data by using line diagram and it is usually used to show the dynamics in certain period. Example : Data of Smk Nusantara graduates who work based on their field study since 2003 until 2007 as follows: Make the line diagram Year 2003 2004 2005 2006 2007 Number of students 100 80 160 120 200 Isi dengan Judul Halaman Terkait

  13. REPRESENTING DATA Answer : Number who works • 200 160 • 120 • • 100 80 • Year 2003 2004 2005 2006 2007 Isi dengan Judul Halaman Terkait

  14. REPRESENTING DATA d. Histogram & Frequency Polygon Histogram is as representing data if the data are grouped in frequency distribution table. • There are several ways to make frequency distribution table, they are: • Determine data range ( J ) • J = datum maximum - datum minimum • 2. Determine interval class ( K ) • K = 1 + 3,3 log n and n = number data ; K round no. • 3. Determine the length of interval class = Isi dengan Judul Halaman Terkait

  15. REPRESENTING DATA Example : Data Result of math test as follows: Make Histogram and its frequency Polygon Score Frequency Mid Score (xi) 38 - 45 2 41,5 46 - 53 8 49,5 54 - 61 8 57,5 7 65,5 62 - 69 70 - 77 5 73,5 78 - 85 81,5 7 86 - 93 89,5 3 Total 40 Isi dengan Judul Halaman Terkait

  16. REPRESENTING DATA From the data above, can be explained that: • Class lower limit, are 38, 46, 54, 62, 70, 78 and 86 • Class upper limit, are 45, 53, 61, 69, 77, 85 and 93 Class mid-score ( xi ) = ½ ( lower limit + upper limit ) Side class lower = lower limit - 0,5 Side class upper = upper limit + 0,5 So side class lower fro the above data, are: 37,5; 45,5; 53,5; 61,5; 69,5 77,5 and 88,5 Isi dengan Judul Halaman Terkait

  17. REPRESENTING DATA Histogram of data is : Isi dengan Judul Halaman Terkait

  18. THE MEASURE OF CENTRAL TENDENCY Title Part

  19. Central tendency measurement is a single score of data which gives clear and short illustration about where is the central data and represents all data. 1. Mean a. Single data = Isi dengan Judul Halaman Terkait

  20. Example : Determine mean of the data: 2,3,4,5,6 Answer = = 4 Isi dengan Judul Halaman Terkait

  21. b. Weight Data = Example : The weight of package that has been accepted by a company for a week as in the table beside. The average weight of the packages in a week is… Isi dengan Judul Halaman Terkait

  22. UKURAN PEMUSATAN DATA Answer: F. X = = = 6,47 X F 30 48 84 32 194 So the average of package weight = 6,47 kg Isi dengan Judul Halaman Terkait

  23. UKURAN PEMUSATAN DATA c. Group Data Step I: = Example: Find the mean of math test of 20 students which is represented in the table beside! x = Mid-point Isi dengan Judul Halaman Terkait

  24. UKURAN PEMUSATAN DATA x Answer: F . x 3,5 7 5,5 22 7,5 60 9,5 57 146 = = 7,3 Isi dengan Judul Halaman Terkait

  25. UKURAN PEMUSATAN DATA Step II: xo = the average is, d = x - xo Example : If the average of the table is 67, then the average score of the data is... Isi dengan Judul Halaman Terkait

  26. UKURAN PEMUSATAN DATA Answer: d f. d - 10 - 40 - 5 - 50 0 0 5 70 10 50 30 = 67 + = 67,6 Isi dengan Judul Halaman Terkait

  27. 2. Median UKURAN PEMUSATAN DATA Median of number set is the number in the middle after they have been arranged orderly from the smallest up to the biggest one. • Single Data • If n is odd number • Place of Me=data to- • If n is even number Me = ½ ( Xn/2 + Xn/2+ 1 ) Isi dengan Judul Halaman Terkait

  28. UKURAN PEMUSATAN DATA Example : The math score of 12 students are: 6,8,5,7,6,8,5,9,6,6,8,7. Find the median of that data! Answer : Data is arranged : 5,5,6,6,6,6,7,7,8,8,8,9 The number of data ( n ) = 12 ( even ) Place of Me = data to ½ ( X6 + X7 ) = ½ ( 6 + 7 ) = 6,5 Isi dengan Judul Halaman Terkait

  29. UKURAN PEMUSATAN DATA b.Grouped Data Score of Me = b + p b = Side below a median class p = Length of interval class F = Number of frequency before Me class f = Frequency of median class n = Data size Isi dengan Judul Halaman Terkait

  30. UKURAN PEMUSATAN DATA Example : Determine median of this frequency distribution table below! Isi dengan Judul Halaman Terkait

  31. UKURAN PEMUSATAN DATA Answer : To determine the median class, is needed ½ .n = ½ x 50 data = 25 data , it means median located in the 4rd interval class Score of Me = 54,5 + 5 = 54,5 + 0,5 = 55 Isi dengan Judul Halaman Terkait

  32. Mode UKURAN PEMUSATAN DATA Mode of number set is a number which often appears or the score which has the most frequency. a.Single data / weight Example : Find the mode of each number sets below: a. 5,3,5,7,5 c. 2,5,6,3,7,9,8 b. 4,3,3,4,4,7,6,8,7,7 d. 2,2,3,3,5,4,4,6,7 Isi dengan Judul Halaman Terkait

  33. UKURAN PEMUSATAN DATA Answer : a. Mode of the data is 5 b. Mode of data is 4 and 7 c. Mode of data is not exist d. Mode of data is 2,3,4 Isi dengan Judul Halaman Terkait

  34. UKURAN PEMUSATAN DATA b. Groped Data Mo = b + p b = side below of mode class p = length of interval class d1 = the difference between mode class frequency and the previous class frequency d2 = the difference between mode class and the next class frequency Isi dengan Judul Halaman Terkait

  35. UKURAN PEMUSATAN DATA Example : The weighs of 30 students of a class are represented in the table below. Mode of data is…. Isi dengan Judul Halaman Terkait

  36. UKURAN PEMUSATAN DATA Answer : Mode located in the 3rd interval class, with b = 50,5; p = 5; d1 = 6; d2 = 4 Mode (Mo) = 50,5 + 5 = 50,5 + 3 = 53,5 Isi dengan Judul Halaman Terkait

  37. EXERCISES Isi dengan Judul Halaman Terkait

  38. PENYAJIAN DATA Exercise 1. This table shows the using of tax income in the town. If the total fund that has been used for the school building about Rp. 440.000.000,00, then the fund for the road construction is… Property 4% School 22% Administration 16% Road Isi dengan Judul Halaman Terkait

  39. PENYAJIAN DATA Aswer : The fund used for the road construction is x Rp 440.000.000,00 = Rp 1.160.000.000,00 Isi dengan Judul Halaman Terkait

  40. UKURAN PEMUSATAN DATA 2. The mean of the height table below is… = = 162 + = 162,7 Isi dengan Judul Halaman Terkait

  41. UKURAN PEMUSATAN DATA 3. The loan of cooperation as follows : The loan which divides grouped data into two part equally is…. Isi dengan Judul Halaman Terkait

  42. UKURAN PEMUSATAN DATA Answer : Median located in the 3rd interval class, with b = 66,5 ; p = 6 ; F = 22 ; f = 10 ; n = 46 Value of Me = 66,5 + 6 = 66,5 + 0,6 = 67,1 So the loan = 67,1 x Rp 1000,00 = Rp 67.100,00 Isi dengan Judul Halaman Terkait

  43. UKURAN PEMUSATAN DATA 4. The total loan of member Tahu “SUMEDANG” Cooperation noted as follow : According to the above data, the most member who have the same saving account is…. Isi dengan Judul Halaman Terkait

  44. UKURAN PEMUSATAN DATA Answer : Mode located in the 3rd interval class, with b = 65,5 ; p = 3 ; d1 = 10 ; d2 = 5; Mode (Mo) = 65,5 + 3 = 65,5 + 2 = 67,5 So the most member of cooperation have saving account about 67,5 x Rp 10.000,00 = Rp 675.000,00 Isi dengan Judul Halaman Terkait

  45. UKURAN PEMUSATAN DATA 5. If mean of this table is equal to 7, then x is…. Answer : 7 = 7 ( 28 + x ) = 184 + 8x 196 + 7x = 184 + 8x 7x – 8x = 184 – 196 x = 12 Isi dengan Judul Halaman Terkait

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