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STATISTICS

STATISTICS. Grade IX. Sutarman Indonesian International School Yangon. Release 1 2006. END. SUBTOPICS :. Table Frequency Aritmetic Mean Mode Median Quartile Data Representation. Consider the following case :.

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STATISTICS

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  1. STATISTICS Grade IX Sutarman Indonesian International School Yangon Release 1 2006 END

  2. SUBTOPICS : • Table Frequency • Aritmetic Mean • Mode • Median • Quartile • Data Representation

  3. Consider the following case : The measurement of height was done on a number of people, then the following measures (in centimetres) were obtained: 170, 165, 165, 172, 155, 157, 172, 172,175, 175, 165, 170, 170, 175, 157, 172, 171, 165, 172, 165, 150, 155,180, 170, 165, 157, 165, 175, 165, 170

  4. Statistics gives us easier way to understand the data.

  5. Table Frequency : We can make a table frequency for the data of height mentioned : 170, 165, 165, 172, 155, 157, 172, 172,175, 175, 165, 170, 170, 175, 157, 172, 175, 165, 172, 165, 150, 155,180, 170, 165, 157, 165, 175, 165, 170 Height (cm) Tally Frequency 150 I 1 155 II 2 157 III 3 165 8 IIIII III 170 5 IIIII 172 5 IIIII 175 5 IIIII 180 1 I 30 Sum

  6. Graph of Frequency Frequency 10 8 6 4 2 0 Height 140 150 160 170 180 190

  7. Arithmetic Mean (1) Suppose that there are n data as follows : Arithmetic mean or mean of the mentioned data is the sum of data divided by the number of data. Example : Determine mean from data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12 Answer : 15

  8. Arithmetic Mean (2) Example : Answer : Determine mean of the data : 6 7 9 10 48 16 17 36 19 20 22 210 210 15 15 = 14

  9. Mode Mode is the data of the highest frequency. Example : • Find mode from each data : • 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12 • 3, 5, 2, 8, 3, 2, 7, 9, 10 • 4, 3, 7, 9, 2, 1 Answer : • Mode = 12 • Mode = 2 and 3 • no mode

  10. Median (1) • Median is a data that divides the whole data into two parts of equal numbers. • To find the median, the data must be ordered.

  11. Median (2) Example : Find the median of data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12 Answer : Ordered data : 6, 7, 9, 10, 12, 12, 12, 12, 16, 17, 18, 18, 19 20, 22

  12. Quartile (1) • The quartiles (lower quartile, median, and upper quartile) are the data that divides the whole data into four parts of equal numbers. • To find the quartiles, the data must be ordered.

  13. Equal Numbers ! Quartile (2) Example : Find the quartiles of data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12 Answer : Ordered data : 6, 7, 9, 10, 12, 12, 12, 12, 16, 17, 18, 18, 19 20, 22 10 18 Upper quartile = Lower quartile = 3 numbers 3 numbers 3 numbers 3 numbers 3 numbers 7 numbers

  14. Quartile (3) Example: Find the quartiles of data : 18, 22, 20, 10, 9, 7, 6, 12, 19, 17, 12, 16, 18, 12 Answer : Ordered data : 6, 7, 9, 10, 12, 12, 12, 16, 17, 18, 18, 19 20, 22 18 10 Upper quartile = Lower quartile = 3 numbers 3 numbers 3 numbers 3 numbers 3 numbers 7 numbers

  15. Equal Numbers ! Quartile (5) Example: Find the quartiles of data : 10, 10, 20, 25, 27, 32, 40, 45, 56, 60, 70, 80 Answer : Data has been ordered : 10, 10, 20, 25, 27, 32, 40, 45, 56, 60, 70, 80 58 Upper quartile = 22.5 Lower quartile = 3 numbers 3 numbers 3 numbers 3 numbers 3 numbers 6 numbers 6 numbers 36 Median =

  16. Data Presentation (1) Consider the data in the following frequency table : We can represent those data using the: • PIE DIAGRAM • BAR CHART • LINE DIAGRAM • PICTOGRAM (PICTURE DIAGRAM)

  17. Data Presentation (2) (Pie Diagram) A : weight 700 kg, central angle = B : weight 710 kg, central angle = C : weight 820 kg, central angle =

  18. Data Presentation (3) (Pie Diagram) A : weight 700 kg, central angle = B : weight 710 kg, central angle = B 60O A C 30O C : weight 820 kg, central angle = 150O 30O E D

  19. Data Presentation (4) (Bar Chart) f 50 40 30 20 10 0 A B C D E Goods

  20. Data Presentation (5) (Line Diagram) f 50 40 30 20 10 0 700 750 800 850 900 950 Goods

  21. Data Presentation (6) Pictogram (Picture Digram) Phone sold in five years from “You Can” shop : Remark : = 100 unit

  22. Bye bye ………… n Thank You

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