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Pertemuan 5 UKURAN VARIAS I Hdi Nasbey, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pemgetahuan Alam
Learning Outcomes ,[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Outline Materi ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Measures of Variability ,[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
The Range ,[object Object],[object Object],[object Object],[object Object],R = 14 – 5 = 9. ,[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
The Variance ,[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | 4  6  8  10  12  14
The Variance ,[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
The Standard Deviation ,[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Varians ,[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Two Ways to Calculate the Sample Variance Use the Definition Formula: 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | 5 -4 16 12 3 9 6 -3 9 8 -1 1 14 5 25 Sum 45 0 60
Two Ways to Calculate the Sample Variance Use the Calculational Formula: 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | 5 25 12 144 6 36 8 64 14 196 Sum 45 465
Some Notes ,[object Object],[object Object],[object Object],[object Object],Applet 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Measures of Relative Standing ,[object Object],(100- p ) % p  % 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | p -th percentile x
Examples ,[object Object],BUREAU OF LABOR STATISTICS 2002    Median    Lower Quartile (Q 1)    Upper Quartile (Q 3 ) $319 is the 10 th  percentile. 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | $319 90% 10% 50 th  Percentile 25 th  Percentile 75 th  Percentile
Quartiles and the IQR ,[object Object],[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Using Measures of Center and Spread: The Box Plot The Five-Number Summary: Min   Q 1 Median  Q 3   Max ,[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Constructing a Box Plot ,[object Object],[object Object],[object Object],[object Object],* 01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  | Q 1 m Q 3
Interpreting Box Plots ,[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Key Concepts ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Key Concepts ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
[object Object],01/02/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |

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  • 1. Pertemuan 5 UKURAN VARIAS I Hdi Nasbey, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pemgetahuan Alam
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  • 11. Two Ways to Calculate the Sample Variance Use the Definition Formula: 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id | 5 -4 16 12 3 9 6 -3 9 8 -1 1 14 5 25 Sum 45 0 60
  • 12. Two Ways to Calculate the Sample Variance Use the Calculational Formula: 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id | 5 25 12 144 6 36 8 64 14 196 Sum 45 465
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