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Statistics1

Anastasia Juwana
Anastasia Juwana

This document discusses statistics concepts including measures of central tendency (mean, median, mode), data collection and presentation methods (tables, charts, graphs), measures of spread (range, interquartile range, variance, standard deviation), and box and whisker plots. It provides examples of when to use the mean vs median vs mode based on the goal. It also discusses calculating quartiles, interquartile range, and representing data using a box and whisker plot.

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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 袖, Digunakan untuk menaksir
PENYAJIAN DATA
Table of Frequency Kompas, 3 Juni 2010, page 19
Statistics1
Barchart Kompas, 3 Juni 2010 page 18
Statistics1
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 [ 遜 (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

More Related Content

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 袖, Digunakan untuk menaksir
  • 8. Table of Frequency Kompas, 3 Juni 2010, page 19
  • 10. Barchart Kompas, 3 Juni 2010 page 18
  • 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 [ 遜 (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