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Introduction to Statistics
Form 1 Mathematics Chapter 12
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Reminder Lesson requirement Before lessons start
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
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Statistics (統計學, p.210) A subject 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
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Data collection (p.211) Previous Information Questionnaire Observation
Books, newspapers, magazines, websites, … Questionnaire Set out forms, questions on the websites, … Observation Sightseeing, counting, … Experiment Test, measurements, … Interview Written surveys, telephone conversation, …
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Data collection (p.211) Previous Information, Questionnaire, Observation, Experiment, Interview (a) Observation (b) Questionnaire (c) Previous Information (d) Experiment
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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
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Data classification (p.213)
Discrete data or Continuous data (a) Continuous data (b) Discrete data (c) Continuous data (d) Continuous data
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Data collection and data classification
(a) The data collected is accurate (準確) as they will report the exact number of lavatories. (b) No, it is not effective. The data might be incomplete as NOT ALL questionnaires will come back. (c) Discrete data
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Time for Practice Pages 214 – 215 of Textbook 1B
Questions 1 – 4 Page 95 of Workbook 1B Questions 1 – 2
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Number of times visited Disneyland
Data organization (p.216) Number of times visited Disneyland: 1 1 2 0 2 0 0 0 0 1 0 1 0 0 0 0 0 2 0 1 Tallying: Frequency distribution table Number of times visited Disneyland Tally Frequency //// //// // 12 1 //// 5 2 /// 3
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Data organization (p.216) Height of students (in cm):
170 168 173 171 169 174 180 166 173 175 170 165 166 178 175 171 181 172 173 176 167 172 Tallying in groups: Heights (cm) Tally Frequency 165 – 169 //// / 6 170 – 174 //// //// 10 175 – 179 //// 4 180 – 184 // 2
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Time for Practice Page 218 of Textbook 1B Page 219 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
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Data organization
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Data organization (a) B C C B C B B D D C D E B C B A C E
B D C D E D E E C A E A C D D D E D
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Data organization . (c) The number of students failed . = 10 + 7
(a) B C C B C B B D D C D E B C B A C E B D C D E D E E C A E A C D D D E D . (c) The number of students failed = = 17 Grade Tally Frequency
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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)
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Reminder Missing HW SHW (I) SHW (II) SHW (III) – to be given
Detention SHW (I) 16th April (Tuesday) SHW (II) 17th April (Wednesday) SHW (III) – to be given OBQ – to be confirmed CBQ 24th April (Wednesday)
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Enjoy the world of Mathematics!
Ronald HUI
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