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1 Pertemuan 04 Ukuran Pemusatan dan Penyebaran Matakuliah: I0134 – Metoda Statistika Tahun: 2005 Versi: Revisi.

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Presentation on theme: "1 Pertemuan 04 Ukuran Pemusatan dan Penyebaran Matakuliah: I0134 – Metoda Statistika Tahun: 2005 Versi: Revisi."— Presentation transcript:

1 1 Pertemuan 04 Ukuran Pemusatan dan Penyebaran Matakuliah: I0134 – Metoda Statistika Tahun: 2005 Versi: Revisi

2 2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa dapat menghitung, mengidentifikasi penggunaan ukuran pemusatan dan penyebaran.

3 3 Outline Materi Rata-rata Median Modus Kuartil Desil Persentil Varians dan Simpangan baku

4 4  Medianâ Middle value when sorted in order of magnitude â 50th percentile  Modeâ Most frequently- occurring value  Meanâ Average Ukuran Pemusatan dan Penyebaran

5 5 SalesSorted Sales Median 50th Percentile (20+1)50/100= (.5)(0) = 16 The median is the middle value of data sorted in order of magnitude. It is the fiftieth percentile. Contoh Soal - Median

6 :. : : : :. : : : Mode = 16 The mode is the most frequently occurring value. It is the value with the highest frequency. Contoh Soal - Mode

7 7 The mean of a set of observations is their average - the sum of the observed values divided by the number of observations. Population Mean Sample Mean    x N i N 1 x x n i n    1 Arithmetic Mean or Average

8 8 x x n i n    Sale s Contoh Soal - (Mean)

9 :. : : : :. : : : Median and Mode = 16 Mean = Contoh Soal - Mode

10 10 l Range –Difference between maximum and minimum values l Interquartile Range –Difference between third and first quartile (Q 3 - Q 1 ) l Variance –Mean * squared deviation from the mean l Standard Deviation –Square root of the variance   Definitions of population variance and sample variance differ slightly. Ukuran Penyebaran

11 11 Sorted SalesSalesRank First Quartile Third Quartile Q 1 = 13 + (.25)(1) = Q 3 = 18+ (.75)(1) = Minimum Maximum Range Maximum - Minimum = = 18 Interquartile Range Q3 - Q1 = = 5.5 Contoh. Range and Interquartile Range

12 12 ( )                ()x N x N N i N i N x i N Population Variance     s xx n x x n n s s i n i n i n              () Sample Variance Variance and Standard Deviation ( )

13 Calculation of Sample Variance

14 14 l Dividing data into groups or classes or intervals l Groups should be: –Mutually exclusive Not overlapping - every observation is assigned to only one group –Exhaustive Every observation is assigned to a group –Equal-width (if possible) First or last group may be open-ended Group Data and the Histogram

15 15 Selamat Belajar Semoga Sukses.


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