 # 1 Pertemuan 02 Analisis Data Matakuliah: I0272 – Statistik Probabilitas Tahun: 2005 Versi: Revisi.

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1 Pertemuan 02 Analisis Data Matakuliah: I0272 – Statistik Probabilitas Tahun: 2005 Versi: Revisi

2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa akan dapat menjelaskan cara menentukan data pencilan dengan diagram kotak - garis

3 Outline Materi Kuantil suatu sebaran Kuantil sebaran empiris Statistik urutan dan kuartil Diagram kotak-garis Ukuran pemusatan dan variabilitas

4 Descriptive Statistics: Tabular and Graphical Methods Summarizing Qualitative Data Summarizing Quantitative Data Exploratory Data Analysis Crosstabulations and Scatter Diagrams

5 Summarizing Qualitative Data Frequency Distribution Relative Frequency Percent Frequency Distribution Bar Graph Pie Chart

6 Frequency Distribution Rating Frequency Poor 2 Below Average 3 Average 5 Above Average 9 Excellent 1 Total 20 Contoh Soal: Marada Inn

7 Relative Frequency and Percent Frequency Distributions Relative Percent RatingFrequencyFrequency Poor.1010 Below Average.1515 Average.2525 Above Average.4545 Excellent.05 5 Total 1.00 100

8 Contoh Soal: Marada Inn Bar Graph 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 Poor Below Average Below Average Above Average Above Average Excellent Frequency Rating

9 Summarizing Quantitative Data Frequency Distribution Relative Frequency and Percent Frequency Distributions Dot Plot Histogram Cumulative Distributions Ogive

10 Contoh Soal: Hudson Auto Repair The manager of Hudson Auto would like to get a better picture of the distribution of costs for engine tune-up parts. A sample of 50 customer invoices has been taken and the costs of parts, rounded to the nearest dollar, are listed below.

11 Contoh Soal: Hudson Auto Repair Ogive with Cumulative Percent Frequencies Parts Parts Cost (\$) Parts Parts Cost (\$) 20 40 60 80 100 Cumulative Percent Frequency 50 60 70 80 90 100 110

12 Contoh Soal: Hudson Auto Repair Stem-and-Leaf Display 5 2 7 6 2 2 2 2 5 6 7 8 8 8 9 9 9 7 1 1 2 2 3 4 4 5 5 5 6 7 8 9 9 8 0 0 2 3 5 8 9 9 1 3 7 7 7 8 9 10 1 4 5 5 9

13 Contoh Soal: Hudson Auto Repair Stretched Stem-and-Leaf Display 5 2 5 7 6 2 2 2 2 6 5 6 7 8 8 8 9 9 9 7 1 1 2 2 3 4 4 7 5 5 5 6 7 8 9 9 9 8 0 0 2 3 8 5 8 9 9 1 3 9 7 7 7 8 9 10 1 4 10 5 5 9

14 Scatter Diagram A Positive Relationship xy

15 Scatter Diagram A Negative Relationship xy

16 Tabular and Graphical ProceduresData Qualitative Data Quantitative Data Tabular TabularMethods MethodsGraphical Methods MethodsGraphical FrequencyFrequency Distribution Distribution Rel. Freq. Dist.Rel. Freq. Dist. % Freq. Dist.% Freq. Dist. CrosstabulationCrosstabulation Bar GraphBar Graph Pie ChartPie Chart FrequencyFrequency Distribution Distribution Rel. Freq. Dist.Rel. Freq. Dist. Cum. Freq. Dist.Cum. Freq. Dist. Cum. Rel. Freq.Cum. Rel. Freq. Distribution Distribution Stem-and-LeafStem-and-Leaf Display Display CrosstabulationCrosstabulation Dot PlotDot Plot HistogramHistogram OgiveOgive ScatterScatter Diagram Diagram

17 Measures of Location Mean Median Mode Percentiles Quartiles

18 Mean The mean of a data set is the average of all the data values. If the data are from a sample, the mean is denoted by. If the data are from a population, the mean is denoted by m (mu).

19 Quartiles Quartiles are specific percentiles First Quartile = 25th Percentile Second Quartile = 50th Percentile = Median Third Quartile = 75th Percentile

20 Measures of Variability Range Interquartile Range Variance Standard Deviation Coefficient of Variation

21 Variance The variance is the average of the squared differences between each data value and the mean. If the data set is a sample, the variance is denoted by s 2. If the data set is a population, the variance is denoted by  2.

22 Coefficient of Variation The coefficient of variation indicates how large the standard deviation is in relation to the mean. If the data set is a sample, the coefficient of variation is computed as follows: If the data set is a population, the coefficient of variation is computed as follows:

23 Selamat Belajar Semoga Sukses.

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