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PDU 207 Basic Statistics: Central Tendency
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PDU 207 Basic Statistics: Central Tendency

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Central tendency as a part of descriptive statistic …

Central tendency as a part of descriptive statistic
(Lecture slides mostly in Bahasa Indonesia)

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  • 1. CENTRAL TENDENCY PDU 207 STATISTIK DASAR SEMESTER GASAL 2014/2015 FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA KULIAH IV - 04 September 2014
  • 2. ONE DAY OBJECTIVES Mahasiswa mampu memahami tujuan dilakukannya perhitungan central tendency; Mahasiswa mampu mendefinisikan dan melakukan perhitungan tiap teknik pengukuran central tendency; Mahasiswa mampu memahami hubungan dan melakukan perbandingan terhadap ketiga teknik perhitungan central tendency, sehingga dapat memilih teknik yang paling tepat sesuai tujuan pengukurannya.
  • 3. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 4. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) Kelompok 1 Kelompok 2 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 5. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) Kelompok 1 Kelompok 2 5 4 3 3 4 4 7 5 2 5 4 3 4 8 3 5 5 6 6 4 8 6 6 5 7 8 8 7 8 9 7 8 7 9 5 8 7 7 6 7 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 6. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) Kelompok 1 Kelompok 2 10 9 7 6 4 3 1 0 Kelompok 1 Kelompok 2 1 2 3 4 5 6 7 8 9 10 PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 7. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) Kelompok 1 Kelompok 2 10 9 7 6 4 3 1 0 Kelompok 1 Kelompok 2 SEBERAPA JAUH 1 2 3 4 5 6 7 8 9 10 BEDANYA? PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 8. • Independent Variable: Kehadiran Observer • Dependent Variable: Kemampuan Mengingat (diukur melalui jumlah kata yang berhasil disebutkan kembali) Kelompok 1 Kelompok 2 10 9 7 6 4 3 1 0 Kelompok 1 Kelompok 2 SEBERAPA JAUH 1 2 3 4 5 6 7 8 9 10 BEDANYA? CENTRAL TENDENCY PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 9. OVERVIEW OF CENTRAL TENDENCY DESCRIPTIVE STATISTICS: statistical procedures used to summarize, organize, and simplify data; organize or summarize them in a form that is more manageable. CENTRAL TENDENCY PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 10. OVERVIEW OF CENTRAL TENDENCY DESCRIPTIVE STATISTICS: statistical procedures used to summarize, organize, and simplify data; organize or summarize them in a form that is more manageable. CENTRAL TENDENCY a statistical measure to determine a single score that defines the center of a distribution. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 11. OVERVIEW OF CENTRAL TENDENCY 1 2 3 4 5 6 7 8 9 f f f 1 2 3 4 5 6 7 8 9 X 1 2 3 4 5 6 7 8 9 X X PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 12. OVERVIEW OF CENTRAL TENDENCY try to locate the “center” of the distribution! 1 2 3 4 5 6 7 8 9 f f f 1 2 3 4 5 6 7 8 9 X 1 2 3 4 5 6 7 8 9 X X PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 13. THE MEAN THE DEFINITION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 14. THE MEAN THE DEFINITION • the sum of the scores divided by the number of scores; PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 15. THE MEAN THE DEFINITION • the sum of the scores divided by the number of scores; • the amount each individual receives when the total (ΣX) is divided equally among all of the individuals (N) in the distribution; PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 16. THE MEAN THE DEFINITION • the sum of the scores divided by the number of scores; • the amount each individual receives when the total (ΣX) is divided equally among all of the individuals (N) in the distribution; • a balance point for the distribution. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 17. THE MEAN THE CHARACTERISTICS PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 18. THE MEAN THE CHARACTERISTICS • Changing a score Changing the value of any score changes the mean; • Introducing a new score or removing a score Adding a new score to a distribution, or removing an existing score, usually changes the mean; • Adding or subtracting a constant from each score If a constant value is added to every score in a distribution, the same constant is added to the mean; • Multiplying or dividing each score by a constant If every score in a distribution is multiplied by (or divided by) a constant value, the mean changes in the same way. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 19. THE MEDIAN THE DEFINITION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 20. THE MEDIAN THE DEFINITION • the midpoint of the list if the scores in a distribution are listed in order from smallest to largest; • the point on the measurement scale below which 50% of the scores in the distribution are located. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 21. THE MODE THE DEFINITION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 22. THE MODE THE DEFINITION • the score or category that has the greatest frequency. PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 23. SELECTING A MEASURE OF CENTRAL TENDENCY PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 24. SELECTING A MEASURE OF CENTRAL TENDENCY MEAN MEDIAN MODE Ratio/Interval Scale Extreme Scores/ Skewed Distributions Undetermined Values Open-Ended Distributions Ordinal Scale Nominal Scale Discrete Variables Describing Shape ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 25. CENTRAL TENDENCY AND THE SHAPE OF THE DISTRIBUTION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 26. CENTRAL TENDENCY AND THE SHAPE OF THE DISTRIBUTION • SYMMETRICAL DISTRIBUTION the mean and median are close together in the center of the distribution PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 27. CENTRAL TENDENCY AND THE SHAPE OF THE DISTRIBUTION • SKEWED DISTRIBUTION PDU 207 STATISTIK DASAR FAKULTAS PSIKOLOGI UNIVERSITAS KATOLIK INDONESIA ATMA JAYA ardhiati © 2014
  • 28. Want to Know More? Gravetter, F.J. & Wallnau, L.B. (2012). Statistics for the behavioral sciences (9th ed.). Australia: WADSWORTH CENGAGE Learning.

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