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Introduction to Statistics

Introduction to Statistics. Form 1 Mathematics Chapter 12. Reminder. Lesson requirement Textbook 1B Workbook 1B Notebook Before lessons start Desks in good order! No rubbish around! No toilets! Keep your folder at home Prepare for Final Exam. HW/Quiz Checklist. Ch. 5 OBQ: 33

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Introduction to Statistics

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  1. Introduction to Statistics Form 1 Mathematics Chapter 12

  2. Reminder • Lesson requirement • Textbook 1B • Workbook 1B • Notebook • Before lessons start • Desks in good order! • No rubbish around! • No toilets! • Keep your folder at home • Prepare for Final Exam

  3. HW/Quiz Checklist • Ch. 5 OBQ: 33 • Ch. 5 CBQ: 12, 20 • Ch. 6 OBQ: 33 • Ch. 6 CBQ: 12 • Ch. 7 SHW(I): 28 (redo) • Ch. 7 CBQ: 6, 12, 20 (cor.), 28 (cor.) • Ch. 8 SHW(II): 33 • Ch. 8 OBQ: 30 • Ch. 8 CBQ: 6, 20, 32, 33 • Ch. 9 SHW(III): 6, 33 • Ch. 9 OBQ: 6, 12, 32, 33 • Ch. 9 CBQ: 6, 12, 20, 32

  4. Today!!!!

  5. DSE Math CP Paper I

  6. DSE Math CP Paper II

  7. DSE Math CP Paper II

  8. DSE Math CP Paper II

  9. DSE Math CP Paper II

  10. DSE Math CP Paper II

  11. DSE Math CP Paper II

  12. DSE Math CP Paper II

  13. 5 years later! • Are you ready for HKDSE 2018?

  14. Statistics (統計學,p.210) • Asubject that deals with handling data • 4 Key stages of statistics: • Collection of Data • Get data for study • Organization of Data • Group data by table, by order • Presentation of Data • Use diagrams to show data • Analysis of Data • Make some suitable conclusions

  15. Data collection(p.211) • Previous Information • Books, newspapers, magazines, websites, … • Questionnaire • Set out forms, questions on the websites, … • Observation • Sightseeing, counting, … • Experiment • Test, measurements, … • Interview • Written surveys, telephone conversation, …

  16. Data classification(p.213) • Discrete data (離散數據)are data with specific values and probably countable • E.g. size of shoes:, number of people in cinema • Remark: Nominal data (名目數據)are discrete such as favourite football players • Continuous data (連續數據)are data with approximate values and probably could only be grouped • E.g. height of students, degree of shortsight • Remark: Approximation on measurements could be treated as discrete

  17. Time for Practice • Pages 214 – 215 of Textbook 1B • Questions 1 – 4 • Page 95 of Workbook 1B • Questions 1 – 2

  18. Data organization(p.216) • Number of times visited Disneyland: 1120200001 0100000201 • Tallying: • Frequency distribution table

  19. Data organization(p.216) • Height of students (in cm): 170168173171169174180166 173175170165166178175171 181172173176167172 • Tallyingin groups:

  20. Time for Practice • Page 218 of Textbook 1B • Class Practice • Page 219 of Textbook 1B • Questions 1 – 4 • Pages 98 – 100 of Workbook 1B • Questions 1 – 5 • Missing table for SHW (I) Question 7

  21. Data presentation and analysis(p.221) • Pictogram (象形圖) • Bar chart (棒形圖) • Pie chart (圓形圖) • Broken-line graph (折線圖) • Stem-and-leaf diagram (幹葉圖) • Scatter diagram (散點圖)

  22. Pie chart (圓形圖, p.221) • Circle = all data • Sector = a particular item • Angle = ratio (to all data)  can be compared

  23. Pie chart (圓形圖, p.221) • Steps: • Calculate the ratio of each item (can be in %) • Calculate the angle for each item • Draw a circle • Divide into sectors by the angles • Name the sector • Put down % or angle • Give a title

  24. Pie chart example • A university is running a survey to find out the idols of 250 students. A pie chart shows different types of their idols. • (a) What percentage of the students choose famous people as their favourite type of idol? • (b) Find the value of x in the diagram. • Answers: (a)The required percentage = (100 – 72 – 6 – 2 – 4)% = 16% (b)x = 360°  16% = 57.6°

  25. N = 12 60°360° Pie chart example • The pie chart shows thefavourite ball games of a group of students. It is known 12 love volleyball. • (a) Find x. • (b) Find the total number of students in the group. • (c) Find the number of students whose favourite ball game is basketball. • Answers: (a)x = 360° – 110° – 85° – 60° – 30° = 75° (b)Let the total number of students in the group be N, then  N = 72 ∴ Total number of students in the group is 72.

  26. x360° 75°360° = 72  = 72  Pie chart example • The pie chart shows thefavourite ball games of a group of students. It is known 12 love volleyball. • (a) Find x. • (b) Find the total number of students in the group. • (c) Find the number of students whose favourite ball game is basketball. • Answers: (c) Number of students whose favourite ball game is basketball = 15

  27. Reminder • Missing HW • Detention • SHW (I) • 16th April (Tuesday) • SHW (II) – to be confirmed • 17th April (Wednesday) • SHW (III) – to be given • 17th April (Wednesday) • OBQ – to be confirmed • 17th April (Wednesday) • CBQ • 24th April (Wednesday)

  28. Enjoy the world of Mathematics! Ronald HUI

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