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PDU 207 Basic Statistics: Frequency Distribution
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PDU 207 Basic Statistics: Frequency Distribution

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What is frequency distribution? How it helps us organizing data? …

What is frequency distribution? How it helps us organizing data?
(Lecture slides mostly in Bahasa Indonesia)

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  • 1. FREQUENCY DISTRIBUTION PDU 207 STATISTIK DASAR SEMESTER GASAL 2014/2015 FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA KULIAH III - 28 Agustus 2014
  • 2. ONE DAY OBJECTIVES Mahasiswa memahami konsep distribusi frekuensi; Mahasiswa mampu mengorganisir data ke dalam tabel dan grafik distribusi, serta memahami data yang disajikan dalam tabel dan grafik distribusi tersebut; Mahasiswa mampu melakukan perhitungan persentil dan ranking (termasuk menggunakan interpolasi) serta menggambarkan letak data pada suatu distribusi berdasarkan hasil perhitungan tersebut.
  • 3. INTRODUCTION TO FREQUENCY DISTRIBUTION an organized tabulation of the number of individuals located in each category on the scale of measurement. TABLE GRAPH PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 4. INTRODUCTION TO FREQUENCY DISTRIBUTION an organized tabulation of the number of individuals located in each category on the scale of measurement. TABLE GRAPH THE ELEMENTS: 1. The set of categories that make up the original measurement scale; 2. A record of the frequency, or number of individuals in each category. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 5. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 6. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 7. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA TABLE 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 8. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 X 8 7 6 5 4 3 2 TABLE PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 9. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 X 8 7 6 5 4 3 2 TABLE highest to lowest PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 10. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 X 8 7 6 5 4 3 2 f 1 1 2 5 6 4 1 TABLE highest to lowest PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 11. FREQUENCY DISTRIBUTION TABLES FOR SINGULAR DATA DATA 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 X 8 7 6 5 4 3 2 f 1 1 2 5 6 4 1 TABLE fX 8 7 12 25 24 12 2 p = f/N 0,05 0,05 0,1 0,25 0,3 0,2 0,05 % = p(100) 5% 5% 10% 25% 30% 20% 5% highest to lowest PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 12. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA There are several guidelines that help guide you in the construction of a grouped frequency distribution table. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 13. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA There are several guidelines that help guide you in the construction of a grouped frequency distribution table. GUIDE 1 should have about 10 class intervals GUIDE 3 the bottom score in each class interval should be a multiple of the width GUIDE 4 all intervals should be the same width GUIDE 2 the width of each interval should be a relatively simple number PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 14. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 15. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 ROWS = highest - lowest + 1 = 99 - 52 + 1 = 48 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 16. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 ROWS = highest - lowest + 1 = 99 - 52 + 1 = 48 HOW TO MAKE FREQUENCY DISTRIBUTION TABLES PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 17. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 ROWS = highest - lowest + 1 = 99 - 52 + 1 = 48 HOW TO MAKE FREQUENCY DISTRIBUTION TABLES determine the number and width of interval WIDTH NUMBER OF INTERVALS 2 23 5 10 10 5 1 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 18. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 ROWS = highest - lowest + 1 = 99 - 52 + 1 = 48 HOW TO MAKE FREQUENCY DISTRIBUTION TABLES determine the number and width of interval WIDTH NUMBER OF INTERVALS 2 23 5 10 10 5 ✗ ✓ ✗ 1 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 19. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 ROWS = highest - lowest + 1 = 99 - 52 + 1 = 48 HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 1 determine the number and width of interval { WIDTH NUMBER OF INTERVALS 2 23 ✗ ✓ } G2 5 10 G1 10 5 ✗ PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 20. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 21. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 identify the lowest score on the interval 2 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 22. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 identify the lowest score on the interval 2 52 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 23. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 identify the lowest score on the interval 2 52 width = 5 the lowest score on the interval = 50 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 24. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 identify the lowest score on the interval 2 52 width = 5 the lowest score on the interval = 50 55 - 59 50 - 54 interval class: PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 25. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 identify the lowest score on the interval 2 52 width = 5 G3 the lowest score on the interval = 50 55 - 59 50 - 54 interval class: }G4 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 26. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 27. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 28. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 X 95 - 99 90 - 94 85 - 89 80 - 84 75 - 79 70 - 74 65 - 69 60 - 64 55 - 59 50 - 54 f 1 2 3 4 2 6 2 2 2 1 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 29. FREQUENCY DISTRIBUTION TABLES FOR GROUP DATA DATA HOW TO MAKE FREQUENCY DISTRIBUTION TABLES 85 68 67 90 59 71 82 80 60 77 83 94 70 52 87 74 99 58 71 82 72 71 64 89 76 X 95 - 99 90 - 94 85 - 89 80 - 84 75 - 79 70 - 74 65 - 69 60 - 64 55 - 59 50 - 54 f 1 2 3 4 2 6 2 2 2 1 Real Limit 94,5 - 99,5 89,5 - 94,5 84,5 - 89,5 79,5 - 84,5 74,5 - 79,5 69,5 - 74,5 64,5 - 69,5 59,5 - 64,5 54,5 - 59,5 49,5 - 54,5 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 30. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 31. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA SINGULAR DATA X f 8 1 7 1 6 2 5 5 4 6 3 4 2 1 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 32. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA SINGULAR DATA histogram X f 8 1 7 1 6 2 5 5 4 6 3 4 2 1 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 Jumlah Kata Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 33. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA SINGULAR DATA histogram X f 8 1 7 1 6 2 5 5 4 6 3 4 2 1 6 5 4 3 2 1 0 real limits frequency 1 2 3 4 5 6 7 8 Jumlah Kata Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 34. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA SINGULAR DATA polygon X f 8 1 7 1 6 2 5 5 4 6 3 4 2 1 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 Jumlah Kata Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 35. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA GROUP DATA X f 95 - 99 1 90 - 94 2 85 - 89 3 80 - 84 4 75 - 79 2 70 - 74 6 65 - 69 2 60 - 64 2 55 - 59 2 50 - 54 1 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 36. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA GROUP DATA histogram X f 95 - 99 1 90 - 94 2 85 - 89 3 80 - 84 4 75 - 79 2 70 - 74 6 65 - 69 2 60 - 64 2 55 - 59 2 50 - 54 1 6 5 4 3 2 1 0 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89 90-94 95-99 Nilai Quiz Statistik Dasar Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 37. FREQUENCY DISTRIBUTION GRAPHS INTERVAL & RATIO DATA GROUP DATA polygon X f 95 - 99 1 90 - 94 2 85 - 89 3 80 - 84 4 75 - 79 2 70 - 74 6 65 - 69 2 60 - 64 2 55 - 59 2 50 - 54 1 50 55 60 65 70 75 80 85 90 95 100 Nilai Quiz Statistik Dasar Frekuensi 6 5 4 3 2 1 0 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 38. FREQUENCY DISTRIBUTION GRAPHS NOMINAL & ORDINAL DATA SINGULAR DATA Gender f Maskulin 15 Feminim 32 Androgini 8 Unidentified 10 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 39. FREQUENCY DISTRIBUTION GRAPHS NOMINAL & ORDINAL DATA SINGULAR DATA bar chart Gender f Maskulin 15 Feminim 32 Androgini 8 Unidentified 10 40 30 20 10 0 Maskulin Feminim Androgini Unidentified Gender Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 40. FREQUENCY DISTRIBUTION GRAPHS NOMINAL & ORDINAL DATA SINGULAR DATA bar chart Gender f Maskulin 15 Feminim 32 Androgini 8 Unidentified 10 40 30 20 10 0 Maskulin Feminim Androgini Unidentified Gender Frekuensi PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 41. THE SHAPE OF FREQUENCY DISTRIBUTION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 42. THE SHAPE OF FREQUENCY DISTRIBUTION SYMMETRICAL DISTRIBUTION unimodal bimodal PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 43. THE SHAPE OF FREQUENCY DISTRIBUTION SYMMETRICAL DISTRIBUTION unimodal bimodal SKEWED DISTRIBUTION positive skew negative skew PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 44. Want to Know More? Gravetter, F.J. & Wallnau, L.B. (2012). Statistics for the behavioral sciences (9th ed.). Australia: WADSWORTH CENGAGE Learning.