Pertemuan 02 Analisis Data

1
Pertemuan 02Analisis 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

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Outline Materi

• Kuantil suatu sebaran
• Kuantil sebaran empiris
• Statistik urutan dan kuartil
• Diagram kotak-garis
• Ukuran pemusatan dan variabilitas

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Descriptive StatisticsTabular and Graphical
Methods

• Summarizing Qualitative Data
• Summarizing Quantitative Data
• Exploratory Data Analysis
• Crosstabulations
• and Scatter Diagrams

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Summarizing Qualitative Data

• Frequency Distribution
• Relative Frequency
• Percent Frequency Distribution
• Bar Graph
• Pie Chart

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Contoh Soal Marada Inn

• Frequency Distribution
• Rating Frequency
• Poor 2
• Below Average 3
• Average 5
• Above Average 9
• Excellent 1
• Total 20

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Contoh Soal Marada Inn

• Relative Frequency and Percent Frequency
  Distributions
• Relative Percent
• Rating Frequency Frequency
• Poor .10 10
• Below Average .15 15
• Average .25 25
• Above Average .45 45
• Excellent .05 5
• Total 1.00 100

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Contoh Soal Marada Inn

• Bar Graph

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Summarizing Quantitative Data

• Frequency Distribution
• Relative Frequency and Percent Frequency
  Distributions
• Dot Plot
• Histogram
• Cumulative Distributions
• Ogive

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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.

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Contoh Soal Hudson Auto Repair

• Ogive with Cumulative Percent Frequencies

100
80
60
Cumulative Percent Frequency
40
20
Parts Cost ()
50 60 70 80 90 100
110
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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

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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

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Scatter Diagram

• A Positive Relationship

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Scatter Diagram

• A Negative Relationship

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Tabular and Graphical Procedures
Data
Qualitative Data
Quantitative Data
Tabular Methods
Tabular Methods
Graphical Methods
Graphical Methods

• Frequency
• Distribution
• Rel. Freq. Dist.
• Freq. Dist.
• Crosstabulation

• Bar Graph
• Pie Chart

• Dot Plot
• Histogram
• Ogive
• Scatter
• Diagram

• Frequency
• Distribution
• Rel. Freq. Dist.
• Cum. Freq. Dist.
• Cum. Rel. Freq.
• Distribution
• Stem-and-Leaf
• Display
• Crosstabulation

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Measures of Location

• Mean
• Median
• Mode
• Percentiles
• Quartiles

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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).

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Quartiles

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

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Measures of Variability

• Range
• Interquartile Range
• Variance
• Standard Deviation
• Coefficient of Variation

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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 s2.
• If the data set is a population, the variance is
  denoted by ? 2.

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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

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• Selamat Belajar Semoga Sukses.