5-aug-15created by mr.lafferty maths dept statistic graphs reading bar graphs constructing bar...

19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept

Statistic Statistic GraphsGraphs

Reading Bar Graphs

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Constructing Bar Graphs

Reading Pie Charts

Constructing Pie Charts

What is a Survey

Constructing Harder Pie Charts

Organising Data

Constructing Line Graphs

Reading Pictographs

Constructing Histogram

Constructing Polygon Graph

Resource Surveys

Pie Chart templates

MNU 2-20b MTH 2-21a MTH 3-21a

19 Apr 202319 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 22ww

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Aims of the Lesson

1. Understand the key points of a survey.

2. Construct a survey.

MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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Survey’s

• What is a survey ?

• Why do we use survey’s ?

• What kind of data does a survey have?

• What makes good question ?

Think of a survey that you have seen on TV, online or in the street and explain what it

was about.

Measurements Categories

Counts



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Survey’sGood or Bad

surveyquestion



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surveyquestion



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Easy Survey’sMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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Harder Survey’sMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


Complete the survey you have

been given.

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SurveySurveyMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


Starter Starter QuestionsQuestions

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1. Does 52- 24 = 32 Explain your answer

2. Complete the sentence

a 240 angle is called a ___________ .

3. Fill in the missing symbol

49 _ 7 = 7



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Aims of the Lesson

1. Understand the term Frequency Table.

2. Construct a Frequency Table.

3. Interpret information from Frequency Tables.



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Easy Survey’sMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

19 Apr 2023 14

Raw data from a survey can often appear untidy and difficult to understand. Organizing such data into frequency tables can make it much easier to make sense of (interpret) the data.

Frequency tables

Food Tally Frequency

Sum of Tally is the Frequency

llll represents a tally of 5

We will look at favourite food survey

19 Apr 2023 15

Raw data from a survey can often appear untidy and difficult to understand. Organizing such data into frequency tables can make it much easier to make sense of (interpret) the data.

Frequency tables

Height Tally Frequency

Sum of Tally is the Frequency

llll represents a tally of 5

We will look at the height survey


Pick suitable question from your

survey and construct a

frequency table.

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Frequency TableFrequency TableMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a



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1. Does 54- 29 = 35 Explain your answer




64 _ 4 = 16



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Aims of the Lesson

Interpret pictographs.


PictographsPictographsw

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What does 1 computer represent

You have 1 minute to come up with a

questionMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

PictographsPictographsWhat does 1 snowflake represent

You have 1 minute to come up with a

question

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Your turnDo exercise

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PictographMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a



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1. Does 19 + 16 = 35 Explain your answer




4 _ 9 = 36



Bar GraphsBar Graphsw

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2.2. Be able to construct a Bar Be able to construct a Bar Graph.Graph.

1. To explain the main points of a Bar Graph and how to construct them.

1.1. Be able to read Be able to read information from a Bar information from a Bar Graph.Graph.


19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww

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Bar GraphsBar GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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Bar GraphsBar Graphs

Lets construct a Bar graph for the following table

Remember graph has to be labelled and neat !

A survey of S1 pupils asked what their favourite pet was. The results are shown below


Favourite Pets

Cat Dog Rabbit Hamster Snake0

2

4

6

8

10

12

Nu

mb

er

of

Pup

ils

Pets

What labels should we use for the Bar Chart

Title, Scale, Labels and Units where appropriate


Pick a suitable question from your survey and draw a

Bar Graph.

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Bar GraphsBar GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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HistographHistograph

The heights in (cm) of 20 S1 pupils are recorded below.

Remember graph has to be labelled and neat !

Lets construct a Histogram graph for the following table



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HistographHistograph

First use a table to organise the data.

Now we can create a Histogram graph


140

-144

.9

14

5-1

49

.9

15

0-1

54

.9

15

5-1

59

.90

2

4

6

8

10

12

Nu

mb

er

of

Pup

ils

Height

What key features should we use for the

Histogram

Title, Scale, Labels and Units where appropriate

Pupils’ Height

140

-144

.9

14

5-1

49

.9

15

0-1

54

.9

15

5-1

59

.90

2

4

6

8

10

12

Nu

mb

er

of

Pup

ils

Height

135

-139

.9

16

0-1

65

.9

Pupils’ Height Making a Polygon Graph

Out of a Histograph



Histograph and Polygraph.

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Histograph GraphHistograph Graphandand

PolygraphPolygraphMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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Lesson Starter

Q1. 70% of £500

Q2. How long between 8:12am to 2.09pm

Q3. 75.9 x 7

Q4.

Q5. The answer to a question is 81. Writedown the question.

1200 1300

Find arrow value



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Aims of the Lesson

1. Interpret information from Line Graphs.

2. Construct a Line Graph.




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1. Does 2.5 + 2.6 = 51 Explain your answer


an angle less than 90 is called a ____ .

3. Write down the 7 timestable

1 x 7 = 7

2 x 7 = 14


19 Apr 2023 Created by Mr. Lafferty 38

Temperature in Aberdeen

0

2

4

6

8

10

12

14

16

6 am 7 am 8 am 9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm

Time

Te

mp

era

ture

(ºC

)

Line graphsLine graphs are most often used to show trends over time.

If the temperature in Aberdeen, in ºC, over a 12-hour period is plotted, the line graph shows the temperature trend.

What does trend mean

19 Apr 2023 39

97

98

99

100

101

102

103

Temp C 101 102 102 101 100.5 1016:00 am 8:00 am 9:00 am 10:00 am 11:00 am7:00 am

Time 6am 7am 8am 9am 10am 11am

Temp 101 102 102 101 100.5 101

A hospital nurse recorded a patient’s temperature every hour

Constructing a Line Graph

Time Hours

Tem

pera

ture

C

Temperature versus Time

19 Apr 202319 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 4040


Line Graph.

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Line GraphsLine GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


Pie ChartsPie Chartsw

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2.2. Be able to construct a Pie Be able to construct a Pie Chart.Chart.

1. To explain the main points of a Pie Chart and how to construct them.

1.1. Be able to read Be able to read information from a Pie information from a Pie Chart.Chart.




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Come up with a question that we can answer using this Pie Chart.



Pie charts can be thought of as circle graphs.

Pie Charts

How many degree in a circle

1

4

360o

How many degrees in one

slice

90o

4 36090

What fraction is each slice of the circle


Pie charts can be thought of as circle graphs.

Pie Charts

How many degree in a circle

1

3

360o

How many degrees in one

slice

120o

3 360120

What fraction is each slice of the circle

Work out the fraction and degrees

for each slice of the circles.

Pie Charts




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510

210

310

Let’s make up our own question


The pie chart shows the results of a class survey into favourite restaurant food.

Chinese

French

Indian

Italian

Pie Charts

Italian French

Write down the fraction of the class that choose

ChineseIndian410

210

310

110



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50 people were askedwhat was there favourite holiday

How many chose

America

Spain

4 of 50

10=50 10 4 =20

3 of 50

10=50 10 3 =15



Whole circle is divide into 20 equal pieces

Pie Charts

Count the number of parts the circle is divided into.

1 piece is equal to 1

20

The whole circle represents 100 bottles. How many bottles does 1 piece represent.

5


Pie ChartsPie Charts


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What does each part stand

for ?

What fraction represents

each mealtime ?

There is 100 pupils in the

survey?

What is 1/20 of 100.

How many people chose

each mealtime?


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Easy Pie Charts

10 30 20 10 20 10

15 15 30 5 15 15 5



For this question construct a Pie Chart using the Pie Chart

worksheet.

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Pie ChartPie ChartMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a



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2.2. Be able to construct a Pie Be able to construct a Pie Chart.Chart.

1. To explain the main points of a Pie Chart and how to construct them.

1.1. Be able to read Be able to read information from a Pie information from a Pie Chart.Chart.


19 Apr 2023 Created by Mr. Lafferty Maths Dept.

Total 300

75Rugby angle = 360 0

3009 ox

Drawing Pie Charts

In a survey, people were asked to indicate which one of five sports they liked best. The information is given in the table. Display the information in a pie chart.

Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

90Football angle = 360 8

300

01 ox

45Cricket angle = 360 4

3005 ox

60Ice Hockey angle = 360 2

3007 ox

30Squash angle = 360 6

3003 ox


Total 300

Rugby

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Rugby


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30Footbal

l

Drawing Pie Charts


Rugby


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Rug

b

y Footbal

l


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Cricket

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Rug

b

y Footbal

l


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Drawing Pie Charts


Rug

by

Football

Cricke

t


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30Ice Hockey

Squash

Drawing Pie Charts


Rug

by

Football

Cricke

t


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total 300

Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

90o108o

54o72o

36o

Drawing Pie Charts


RugbyFo

otba

l

l

Cricket Ice Hockey

Squash


3009 ox


300

01 ox


3005 ox


3007 ox


3003 ox


Total

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Worksheet Constructing a Pie Chart

Total 90

35Guitar angle = 360 0

9014 ox

10Violin angle = 36 00

904 ox

15Recorder angle = 36 00

906 ox

5Drum angle = 360 0

902 ox

25Keyboard angle = 360 0

9010 ox

Drawing Pie Charts

In a survey, people were asked to indicate which one of five musical instruments they played. The information is given in the table. Display the information in a pie chart.

Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Total 90

Guitar35

Guitar angle = 360 090

14 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guitar


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guitar

Violin


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guitar

Vio

lin


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guitar

Vio

lin

Recorder


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guit

ar

Violin

Recorder


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guit

ar

Violin

Recorder

Drum

Keyboard


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox

Total 90

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Guitar

Vio

lin

Reco

rder

Drum

Keyboard

140o

100o60o

40o

20o


9014 ox


904 ox


906 ox

5Drum angle = 360 0

902 ox


9010 ox


Using your surveycreate a Pie Chart for a suitable question

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Pie ChartsPie ChartsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a


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ResourcesResources

Download Survey Level D

Download Survey Level E


Total

Drawing Pie Charts


Rugby

Football

Cricket

Ice Hockey

75

90

45

60

Favourite Sport

Squash 30

Worksheet Constructing a

Pie Chart

Total

Drawing Pie Charts


Guitar

Violin

Recorder

Drum

35

10

15

5

Musical Instrument

Keyboard 25

Worksheet 1


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Pie Charts 10 Sector Worksheet

Pie Charts WorksheetMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a

5-aug-15created by mr.lafferty maths dept statistic graphs reading bar graphs constructing bar...

Documents

survey mnu

bad survey question

harder surveys mnu

easy surveys mnu

height survey slide

favourite food survey

surveys good

frequency llll