Post on 22-Dec-2015
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
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Aims of the Lesson
1. Understand the key points of a survey.
2. Construct a survey.
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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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Survey’sGood or Bad
surveyquestion
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Survey’sGood or Bad
surveyquestion
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Survey’sGood or Bad
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Complete the survey you have
been given.
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SurveySurveyMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Starter Starter QuestionsQuestions
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1. Does 54- 29 = 35 Explain your answer
2. Complete the sentence
a 350 angle is called a ___________ .
3. Fill in the missing symbol
64 _ 4 = 16
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Aims of the Lesson
Interpret pictographs.
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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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MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Your turnDo exercise
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PictographMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Starter Starter QuestionsQuestions
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1. Does 19 + 16 = 35 Explain your answer
2. Complete the sentence
a 180 angle is called a ___________ .
3. Fill in the missing symbol
4 _ 9 = 36
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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.
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Bar GraphsBar GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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Bar GraphsBar GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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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
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Pick a suitable question from your survey and draw a
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.
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Starter Starter QuestionsQuestions
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1. Does 2.5 + 2.6 = 51 Explain your answer
2. Complete the sentence
an angle less than 90 is called a ____ .
3. Write down the 7 timestable
1 x 7 = 7
2 x 7 = 14
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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
Pick a suitable question from your survey and draw a
Line Graph.
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Line GraphsLine GraphsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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.
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Pie ChartsPie Chartsw
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Come up with a question that we can answer using this Pie Chart.
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Pie ChartsPie Chartsw
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Come up with a question that we can answer using this Pie Chart.
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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
19 Apr 2023 Created by Mr. Lafferty 45
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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Pie ChartsPie Chartsw
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510
210
310
Let’s make up our own question
19 Apr 2023 Created by Mr. Lafferty 48
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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Pie ChartsPie Chartsw
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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
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19 Apr 2023 Created by Mr. Lafferty 50
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
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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
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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
19 Apr 202319 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
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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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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Rugby
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
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
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
Rugby
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Rugby
Football
Cricket
Ice Hockey
75
90
45
60
Favourite Sport
Squash 30Footbal
l
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
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
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
Rug
b
y Footbal
l
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Cricket
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
Rug
b
y Footbal
l
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Rugby
Football
Cricket
Ice Hockey
75
90
45
60
Favourite Sport
Squash 30
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.
Rug
by
Football
Cricke
t
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Rugby
Football
Cricket
Ice Hockey
75
90
45
60
Favourite Sport
Squash 30Ice Hockey
Squash
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.
Rug
by
Football
Cricke
t
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total 300
Rugby
Football
Cricket
Ice Hockey
75
90
45
60
Favourite Sport
Squash 30
90o108o
54o72o
36o
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.
RugbyFo
otba
l
l
Cricket Ice Hockey
Squash
75Rugby angle = 360 0
3009 ox
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
19 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total
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
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
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
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
Guitar
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
Total 90
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
Guitar
Violin
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
Total 90
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
Guitar
Vio
lin
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
Total 90
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
Guitar
Vio
lin
Recorder
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
Total 90
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
Guit
ar
Violin
Recorder
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
Total 90
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
Guit
ar
Violin
Recorder
Drum
Keyboard
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
Total 90
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
Guitar
Vio
lin
Reco
rder
Drum
Keyboard
140o
100o60o
40o
20o
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
19 Apr 202319 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 7474
Using your surveycreate a Pie Chart for a suitable question
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.com
Pie ChartsPie ChartsMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
19 Apr 202319 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 7575ww
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ath
srevis
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ResourcesResources
Download Survey Level D
Download Survey Level E
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
Total
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
Worksheet Constructing a
Pie Chart
Total
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
Worksheet 1
19 Apr 2023 Created by Mr. Lafferty 78
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w.m
ath
srevis
ion
.com
Pie Charts 10 Sector Worksheet
Pie Charts WorksheetMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a