1 pertemuan 02 analisis data matakuliah: i0272 – statistik probabilitas tahun: 2005 versi: revisi
TRANSCRIPT
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Pertemuan 02Analisis Data
Matakuliah : I0272 – Statistik Probabilitas
Tahun : 2005
Versi : Revisi
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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 Statistics:Tabular 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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• Frequency Distribution
Rating Frequency
Poor 2
Below Average 3
Average 5
Above Average 9
Excellent 1
Total 20
Contoh Soal: Marada Inn
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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
1122
33
44
55
66
77
88
99
PoorPoor BelowAverageBelow
AverageAverageAverage Above
AverageAbove
AverageExcellentExcellent
Fre
qu
en
cy
Fre
qu
en
cy
RatingRating
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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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91 78 93 57 75 52 99 80 97 6271 69 72 89 66 75 79 75 72 76104 74 62 68 97 105 77 65 80 10985 97 88 68 83 68 71 69 67 7462 82 98 101 79 105 79 69 62 73
91 78 93 57 75 52 99 80 97 6271 69 72 89 66 75 79 75 72 76104 74 62 68 97 105 77 65 80 10985 97 88 68 83 68 71 69 67 7462 82 98 101 79 105 79 69 62 73
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
PartsPartsCost ($)Cost ($) PartsPartsCost ($)Cost ($)
2020
4040
6060
8080
100100
Cu
mu
lati
ve P
erc
en
t Fr
eq
uen
cyC
um
ula
tive P
erc
en
t Fr
eq
uen
cyC
um
ula
tive P
erc
en
t Fr
eq
uen
cyC
um
ula
tive P
erc
en
t Fr
eq
uen
cy
50 60 70 80 90 100 11050 60 70 80 90 100 11050 60 70 80 90 100 11050 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
xx
yy
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Scatter Diagram
• A Negative Relationship
xx
yy
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Tabular and Graphical Procedures
DataData
Qualitative DataQualitative DataQualitative DataQualitative Data Quantitative DataQuantitative Data
TabularTabularMethodsMethods
TabularTabularMethodsMethods
GraphicalGraphical MethodsMethods
GraphicalGraphical MethodsMethods
•FrequencyFrequency DistributionDistribution•Rel. Freq. Dist.Rel. Freq. Dist.•% Freq. Dist.% Freq. Dist.•CrosstabulationCrosstabulation
•Bar GraphBar Graph•Pie ChartPie Chart
•FrequencyFrequency DistributionDistribution•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 DisplayDisplay•CrosstabulationCrosstabulation
•Dot PlotDot Plot•HistogramHistogram•OgiveOgive•ScatterScatter DiagramDiagram
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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 (mu).
xxnixxni
xNi x
Ni
xx
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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.
sxi x
n2
2
1
( )s
xi x
n2
2
1
( )
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( )xNi 2
2
( )xNi
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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:
sx
( )100sx
( )100
( )100
( )100
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• Selamat Belajar Semoga Sukses.