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Pengenalan Statistik untuk kelas XI IPS

Pengenalan Statistik untuk kelas XI IPS

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Statistics1 Statistics1 Presentation Transcript

  • STATISTICSXI Social Semester I byAnastasia 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 FrequencyKompas, 3 Juni 2010, page 19
  • BarchartKompas, 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 theexpected 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 Q310 11611 118
  • Bagaimana jika banyaknya data genap?
  • Upper and lower quartilesData 6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36Ordered data 6, 7, 15, 36, 39, 41, 41, 43, 43, 47, 49Median 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 −xs = 2 i =1 n
  • 3. Simpangan Baku(Standard Deviation) s= s 2