SlideShare ist ein Scribd-Unternehmen logo
1 von 26
STATISTICS

XI Social Semester I
               by
Anastasia Putriandi SMAK1 JKT
STATISTICS IN REAL LIFE
•   Pemilihan ketua ketua kelas
•   PEMILU
•   Riset/Penelitian
•   Apa lagi?
Kompas, Selasa 6 Juli 2010
STATISTICS
Pengumpulan dan Penyajian Data
Proses pengumpulan data
 Populasi
                        Sampel




                          x,s

    µ, σ

            Digunakan untuk menaksir
PENYAJIAN DATA
Table of Frequency
Kompas, 3 Juni 2010, page 19
Barchart
Kompas, 3 Juni 2010 page 18
Line Chart
STATISTICS
UKURAN PEMUSATAN/
  MEASURES OF CENTRAL TENDENCY
( common averages: mean, median, mode)

 mean: regular meaning of "average“
 median: middle value
 mode: most often
For a probability distribution, the mean is also called the
expected value of the random variable. For a data sample, the mean is
                       also called the average
Student: Which one is better: mean,
           median or mode?
• Mentor: It depends on your goals. I can
  give you some examples to show you
  why. Consider a company that has nine
  employees with salaries of 35,000 a year,
  and their supervisor makes 150,000 a
  year. If you want to describe the typical
  salary in the company, which statistics will
  you use?
• Student: I will use mode (35,000),
  because it tells what salary most people
  get.
• Mentor: What if you are a recruiting officer for
  the company that wants to make a good
  impression on a prospective employee?
• Student: The mean is (35,000*9 + 150,000)/10 =
  46,500 I would probably say: "The average
  salary in our company is 46,500" using mean.
• Mentor: In each case, you have to decide for
  yourself which statistics to use.
• Student: It also helps to know which ones other
  people are using!
i   x[i]    Quartile
 1   102
 2   104
 3   105       Q1
 4   107
 5   108
 6   109    Q2(Median)
 7   110
 8   112
 9   115       Q3
10   116
11   118
Bagaimana jika banyaknya data
          genap?
Upper and lower quartiles

Data             6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36

Ordered data     6, 7, 15, 36, 39, 41, 41, 43, 43, 47, 49

Median           41 Range : 49-6 (Jangkauan)

Upper quartile   43 Interquartile range : 43-15 [Q3-Q1]
                 15 Semi-quartile : (43-15)/2 [ ½ (Q3-Q1)]
Lower quartile
UKURAN PENYEBARAN

   Measures of Spread
Box and whisker plots
• The oldest person in Mathsminster is 90.
  The youngest person is 15.
• The median age of the residents is 44, the
  lower quartile is 25, and the upper quartile
  is 67.
• Represent this information with a box-and-
  whisker plot.
Ukuran pemusatan yang lain:
     1. Simpangan rata-rata
• Simpangan rata-rata
              n

             ∑       xi − x
     SR =     i =1
                     n
2. Ragam (Variance)



        (x            )
       n

      ∑
                          2
             i   −x
s =
 2    i =1
             n
3. Simpangan Baku
(Standard Deviation)


    s= s    2

Weitere ähnliche Inhalte

Was ist angesagt?

presentation of data
presentation of datapresentation of data
presentation of data
Chie Pegollo
 

Was ist angesagt? (15)

Measures of Variability of Grouped and Ungrouped Data
Measures of Variability of Grouped and Ungrouped DataMeasures of Variability of Grouped and Ungrouped Data
Measures of Variability of Grouped and Ungrouped Data
 
Measures of Central Tendencies
Measures of Central TendenciesMeasures of Central Tendencies
Measures of Central Tendencies
 
To find mode ppt
To find mode  pptTo find mode  ppt
To find mode ppt
 
Presentationofdatamod6b
Presentationofdatamod6bPresentationofdatamod6b
Presentationofdatamod6b
 
Mode of Grouped Data - Math 7 (4th Quarter)
Mode of Grouped Data - Math 7 (4th Quarter)Mode of Grouped Data - Math 7 (4th Quarter)
Mode of Grouped Data - Math 7 (4th Quarter)
 
MEASURES OF CENTRAL TENDENCY
MEASURES OF CENTRAL TENDENCYMEASURES OF CENTRAL TENDENCY
MEASURES OF CENTRAL TENDENCY
 
Empirical relationship between averages
Empirical relationship between averagesEmpirical relationship between averages
Empirical relationship between averages
 
Statistics
StatisticsStatistics
Statistics
 
Central tendency m,m,m 1.2
Central tendency m,m,m 1.2Central tendency m,m,m 1.2
Central tendency m,m,m 1.2
 
presentation of data
presentation of datapresentation of data
presentation of data
 
Median
MedianMedian
Median
 
Median and Mode used in Teaching
Median and Mode used in TeachingMedian and Mode used in Teaching
Median and Mode used in Teaching
 
MEASURES OF DISPERSION OF UNGROUPED DATA
MEASURES OF DISPERSION OF UNGROUPED DATAMEASURES OF DISPERSION OF UNGROUPED DATA
MEASURES OF DISPERSION OF UNGROUPED DATA
 
Measures of central tendecy
Measures of central tendecyMeasures of central tendecy
Measures of central tendecy
 
NIOS STD X Economics Chapter 17 & 18 Collection, Presentation and analysis of...
NIOS STD X Economics Chapter 17 & 18 Collection, Presentation and analysis of...NIOS STD X Economics Chapter 17 & 18 Collection, Presentation and analysis of...
NIOS STD X Economics Chapter 17 & 18 Collection, Presentation and analysis of...
 

Andere mochten auch (7)

Logika matematika3
Logika matematika3Logika matematika3
Logika matematika3
 
Multiplication & division
Multiplication & divisionMultiplication & division
Multiplication & division
 
Quadratics
QuadraticsQuadratics
Quadratics
 
Logika matematika4
Logika matematika4Logika matematika4
Logika matematika4
 
Derivative
DerivativeDerivative
Derivative
 
Logika matematika2
Logika matematika2Logika matematika2
Logika matematika2
 
logika matematika
logika matematika logika matematika
logika matematika
 

Ähnlich wie Statistics1

Lecture 10.1 10.2 bt
Lecture 10.1 10.2 btLecture 10.1 10.2 bt
Lecture 10.1 10.2 bt
btmathematics
 
Biostatistics CH Lecture Pack
Biostatistics CH Lecture PackBiostatistics CH Lecture Pack
Biostatistics CH Lecture Pack
Shaun Cochrane
 

Ähnlich wie Statistics1 (20)

Lecture 10.1 10.2 bt
Lecture 10.1 10.2 btLecture 10.1 10.2 bt
Lecture 10.1 10.2 bt
 
Basic biostatistics dr.eezn
Basic biostatistics dr.eeznBasic biostatistics dr.eezn
Basic biostatistics dr.eezn
 
Measure of Variability Report.pptx
Measure of Variability Report.pptxMeasure of Variability Report.pptx
Measure of Variability Report.pptx
 
Descriptive Statistics.pptx
Descriptive Statistics.pptxDescriptive Statistics.pptx
Descriptive Statistics.pptx
 
Ee184405 statistika dan stokastik statistik deskriptif 2 numerik
Ee184405 statistika dan stokastik   statistik deskriptif 2 numerikEe184405 statistika dan stokastik   statistik deskriptif 2 numerik
Ee184405 statistika dan stokastik statistik deskriptif 2 numerik
 
descriptive statistics.pptx
descriptive statistics.pptxdescriptive statistics.pptx
descriptive statistics.pptx
 
MEASURE OF CENTRAL TENDENCY
MEASURE OF CENTRAL TENDENCY  MEASURE OF CENTRAL TENDENCY
MEASURE OF CENTRAL TENDENCY
 
Chapter 3 Ken Black 2.ppt
Chapter 3 Ken Black 2.pptChapter 3 Ken Black 2.ppt
Chapter 3 Ken Black 2.ppt
 
Biostatistics CH Lecture Pack
Biostatistics CH Lecture PackBiostatistics CH Lecture Pack
Biostatistics CH Lecture Pack
 
9주차
9주차9주차
9주차
 
Statistics Slides.pdf
Statistics Slides.pdfStatistics Slides.pdf
Statistics Slides.pdf
 
SP and R.pptx
SP and R.pptxSP and R.pptx
SP and R.pptx
 
Biostatistics_descriptive stats.pptx
Biostatistics_descriptive stats.pptxBiostatistics_descriptive stats.pptx
Biostatistics_descriptive stats.pptx
 
Lecture 10.1 10.2 bt
Lecture 10.1 10.2 btLecture 10.1 10.2 bt
Lecture 10.1 10.2 bt
 
Lect 3 background mathematics
Lect 3 background mathematicsLect 3 background mathematics
Lect 3 background mathematics
 
Lect 3 background mathematics for Data Mining
Lect 3 background mathematics for Data MiningLect 3 background mathematics for Data Mining
Lect 3 background mathematics for Data Mining
 
Chapter 1 2022.pdf
Chapter 1 2022.pdfChapter 1 2022.pdf
Chapter 1 2022.pdf
 
Chapter 1 2021.pdf
Chapter 1 2021.pdfChapter 1 2021.pdf
Chapter 1 2021.pdf
 
Measures of central tendency.pptx
Measures of central tendency.pptxMeasures of central tendency.pptx
Measures of central tendency.pptx
 
Basic statistics 1
Basic statistics  1Basic statistics  1
Basic statistics 1
 

Kürzlich hochgeladen

Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
ZurliaSoop
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
AnaAcapella
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 

Kürzlich hochgeladen (20)

2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptx
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
Understanding Accommodations and Modifications
Understanding  Accommodations and ModificationsUnderstanding  Accommodations and Modifications
Understanding Accommodations and Modifications
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptx
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 

Statistics1

  • 1. STATISTICS XI Social Semester I by Anastasia Putriandi SMAK1 JKT
  • 2. STATISTICS IN REAL LIFE • Pemilihan ketua ketua kelas • PEMILU • Riset/Penelitian • Apa lagi?
  • 3. Kompas, Selasa 6 Juli 2010
  • 6. Proses pengumpulan data Populasi Sampel x,s µ, σ Digunakan untuk menaksir
  • 8. Table of Frequency Kompas, 3 Juni 2010, page 19
  • 9.
  • 10. Barchart Kompas, 3 Juni 2010 page 18
  • 11.
  • 14. UKURAN PEMUSATAN/ MEASURES OF CENTRAL TENDENCY ( common averages: mean, median, mode) mean: regular meaning of "average“ median: middle value mode: most often
  • 15. For a probability distribution, the mean is also called the expected value of the random variable. For a data sample, the mean is also called the average
  • 16. Student: Which one is better: mean, median or mode? • Mentor: It depends on your goals. I can give you some examples to show you why. Consider a company that has nine employees with salaries of 35,000 a year, and their supervisor makes 150,000 a year. If you want to describe the typical salary in the company, which statistics will you use? • Student: I will use mode (35,000), because it tells what salary most people get.
  • 17. • Mentor: What if you are a recruiting officer for the company that wants to make a good impression on a prospective employee? • Student: The mean is (35,000*9 + 150,000)/10 = 46,500 I would probably say: "The average salary in our company is 46,500" using mean. • Mentor: In each case, you have to decide for yourself which statistics to use. • Student: It also helps to know which ones other people are using!
  • 18. i x[i] Quartile 1 102 2 104 3 105 Q1 4 107 5 108 6 109 Q2(Median) 7 110 8 112 9 115 Q3 10 116 11 118
  • 20. Upper and lower quartiles Data 6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36 Ordered data 6, 7, 15, 36, 39, 41, 41, 43, 43, 47, 49 Median 41 Range : 49-6 (Jangkauan) Upper quartile 43 Interquartile range : 43-15 [Q3-Q1] 15 Semi-quartile : (43-15)/2 [ ½ (Q3-Q1)] Lower quartile
  • 21. UKURAN PENYEBARAN Measures of Spread
  • 23. • The oldest person in Mathsminster is 90. The youngest person is 15. • The median age of the residents is 44, the lower quartile is 25, and the upper quartile is 67. • Represent this information with a box-and- whisker plot.
  • 24. Ukuran pemusatan yang lain: 1. Simpangan rata-rata • Simpangan rata-rata n ∑ xi − x SR = i =1 n
  • 25. 2. Ragam (Variance) (x ) n ∑ 2 i −x s = 2 i =1 n
  • 26. 3. Simpangan Baku (Standard Deviation) s= s 2