Introduction to Statistics

Form 1 MathematicsChapter 12

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

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

Are you ready for HKDSE 2018?

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

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, …

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

Pages 214 – 215 of Textbook 1B Questions 1 – 4

Page 95 of Workbook 1B Questions 1 – 2

Number of times visited Disneyland:1 1 2 0 2 0 0 0 0

10 1 0 0 0 0 0 2 0

1

Tallying:

Frequency distribution table

Number of times visited Disneyland

Tally Frequency

0 //// //// // 12

1 //// 5

2 /// 3

Height of students (in cm): 170 168 173 171 169 174 180 166173 175 170 165 166 178 175 171181 172 173 176 167 172

Tallyingin groups:

Heights (cm) Tally Frequency

165 – 169 //// / 6

170 – 174 //// //// 10

175 – 179 //// 4

180 – 184 // 2

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

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 )

Circle = all data Sector = a particular item Angle = ratio (to all data) can be

compared

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

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°

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.

N = 1260°360°

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

= 15x360°= 72 75°

360°= 72

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)

Enjoy the world of Mathematics!

Ronald HUI