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MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
StatisticsStatistics
Interpreting / Creating Bar & Line Graphs
Spreadsheets
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Calculations in Spreadsheets
Reading Pie-Charts
Stem and Leaf Diagrams
Creating Pie-Charts
Mean & Range
Median & Mode
Good Survey
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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2. Simplif y the ratio 7 :56
2
1. A video has be reduced in the sale
by 10%. I t was £240. How much is it now.
3. 3.5% of 600p
4. Tidy up the expression
5w + 3y +4w + 10w
5. Find the area and perimeter of the shape.
8cm5cm
2cm
4cm
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Bar/Line GraphsBar/Line Graphsw
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.math
srevis
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
2.2. Be able to construct a Be able to construct a Bar /Line Graph.Bar /Line Graph.
1. We are learning about the main points of Bar/Line Graphs and how to construct them.
1.1. Be able to read Be able to read information from a information from a Bar/Line Graph.Bar/Line Graph.
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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srevis
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Bar GraphsBar Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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srevis
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Bar GraphsBar Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
w.m
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srevis
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.com
Bar GraphsBar Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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Bar GraphsBar Graphs
Lets construct a Bar graph for the following table
Remember graph has to be labelled and neat !
Cat Dog Rabbit Hamster Snake0
2
4
6
8
10
12
Nu
mb
er
of
Pup
ils
Pets
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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Line GraphsLine Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
w.m
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srevis
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Line GraphsLine Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
w.m
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srevis
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.com
Line GraphsLine Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
w.m
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srevis
ion
.com
Line GraphsLine Graphs
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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srevis
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Line GraphsLine Graphs
Best Cars
Cars R Us
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww
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Line GraphsLine Graphs
Lets construct a line graph for the following table
Remember graph has to be labelled and neat !
Mon Tue Wed Thur Fri0
2
4
6
8
10
12
Nu
mb
er
of
Flie
s
Days
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 1
Ch12 (page 118)
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StatisticsStatistics
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
2.2. Calculate values using Calculate values using Spreadsheets.Spreadsheets.
1. We are learning about the benefits of using Spreadsheets.
1.1. Understand the benefits of Understand the benefits of using Spreadsheets.using Spreadsheets.
Spreadsheet
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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SpreadsheetSpreadsheet
Computer Suite Lessonusing textbook questions
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 2
Ch12 (page 121)
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SpreadsheetSpreadsheet
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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srevis
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Calculate values using Calculate values using formulae within formulae within Spreadsheets.Spreadsheets.
1. We are learning how to create formulae using Spreadsheets.
Spreadsheet
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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srevis
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.com
SpreadsheetSpreadsheet
Computer Suite Lessonusing textbook questions
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 3
Ch12 (page 122)
ww
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srevis
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SpreadsheetSpreadsheet
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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2. Calculate (a) (-3m) x (-4m) (b) (2b) x (3a)
1. Find the perimeter and area of the shape.
3. Find the mean of the data set
3,5,5,7,10
6h
2a
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Dept
Pie ChartsPie Chartsw
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srevis
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
2.2. Be able to construct a Be able to construct a Pie Chart.Pie Chart.
1. We are learning how to read simple Pie Charts 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.
21 Apr 2023 Created by Mr.Lafferty Maths Dept
Pie Chartsw
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21 Apr 2023 Created by Mr. Lafferty 26
Pie charts can be thought of as circle graphs.
Whole circle is divide into 10 equal pieces
Pie Charts
Count the number of parts the circle is divided into.
1 piece is equal to 1
10
21 Apr 2023 Created by Mr.Lafferty Maths Dept
Pie Chartsw
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510
210
310
21 Apr 2023 Created by Mr. Lafferty 28
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
21 Apr 2023 Created by Mr.Lafferty Maths Dept
Pie Chartsw
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50 people were askedwhat we there favourite holiday
How many chose
America
Spain
4 of 50
10=50 10 4 =20
3 of 50
10=50 10 3 =15
21 Apr 2023 Created by Mr. Lafferty 30
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
21 Apr 2023 Created by Mr.Lafferty Maths Dept
Pie Chartsw
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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?
Guitar
Vio
lin
Reco
rder
Drum
Keyboard
140o 100
o
60o
40o
20o
140
Guitar = 90 35 people360
x
40
Violin = 90 10 people360
x
60
Recorder = 90 15 people360
x
20
Drum = 90 5 people360
x
100
Keyboard = 90 25 people360
x
21 Apr 2023 Created by Mr. Lafferty 33
Pie charts can be thought of as circle graphs.
Whole circle is divide into 10 equal pieces
Pie Charts
Count the number of parts the circle is divided into.
1 piece is equal to 1
10
21 Apr 2023 Created by Mr. Lafferty 34
Pie Charts worksheet
20 piece 10 piece
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 4
Ch12 (page 124)
ww
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StatisticsStatistics
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter Starter QuestionsQuestions
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1. What is the mean of the numbers
16, 10, 8, 18
52. Calculate of 360
6
3. Calculate 3a x 8a
1 1 1 1 14. How many degrees in , , , , of a circle.
2 3 4 6 10
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
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srevis
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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
Pie ChartsPie Charts
1. We are learning to display data in the form of a Pie-Chart.
1.1. Be able to calculate a Be able to calculate a fraction of 360fraction of 360oo. .
2.2. Understand the process of Understand the process of constructing a Pie Chart.constructing a Pie Chart.
21 Apr 2023 Created by Mr. Lafferty Maths Dept.
Total
Drawing Pie Charts – worksheet 1
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
21 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
21 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
21 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
21 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
21 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
21 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
21 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
21 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
21 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
Total
Drawing Pie Charts – worksheet 2
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
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
Drawing Pie Charts Worksheet 3
Total
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows sales of ice-cream from an ice-cream van one Saturday afternoon in the summer. Display the information in a pie chart.
Drawing Pie Charts
Total 120
13Vanilla angle = 360 9
1203 ox
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Van
ill
a
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Van
illa
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Van
illa
Banana
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Banana
Vanilla
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Banana
Vanilla
Chocolat
eStra
wberry
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
Drawing Pie Charts
Total 120
Vanilla
Banana
Chocolate
Strawberry
13
22
28
57
Ice-cream SalesThe information in the table shows
sales of ice-cream from an ice-cream van one Saturday afternoon
in the summer. Display the information in a pie chart.
Banana
Van
ill
a
Cho
cola
te
Strawberry
39o66o
84o
171o
13Vanilla angle = 360 9
1203 ox
22Banana angle = 360 6
1206 ox
28Chocolate angle = 360 4
1208 ox
57Strawberry angle = 360 1
127
01 ox
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 5
Ch12 (page 126)
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StatisticsStatistics
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Starter Starter QuestionsQuestions
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2. What is LCM of 4 and 5
3. Calculate 3z x 12b
1 14. How many degrees in , , of a circle.
30 40
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Mean and Mean and RangeRange
1. We are learning to calculate the mean and range for a set of data..
1.1. Understand the terms Understand the terms mean and range.mean and range.
2.2. Calculate mean and range Calculate mean and range for a set data and for a set data and comment on the results.comment on the results.
21 Apr 2023 Created by Mr. Lafferty 69
Finding the rangeThe range of a set of data is a measure of how the data is spread across the distribution.
To find the range we subtract the lowest value in the set from the highest value.
Range = highest value – lowest value
When the range is large; the values vary widely in size.
When the range is small; the values are similar in size.
21 Apr 2023 Created by Mr. Lafferty 70
Joanna 1.62 1.41 1.35 1.20 1.15
Kirsty 1.59 1.45 1.41 1.30 1.30
Here are the high jump scores for two girls in metres.
Find the range for each girl’s results and use this to find out who is
consistently better.
Joanna’s range = 1.62 – 1.15 = 0.47
Kirsty’s range = 1.59 – 1.30 = 0.29
The range
21 Apr 2023 Created by Mr. Lafferty 71
The meanThe mean is the most commonly used average.
To calculate the mean of a set of values we add together the values and divide by the total number of values.
For example, the mean of 3, 6, 7, 9 and 9 is
3 + 6 + 7 + 9 + 95
345
6.8
Mean =Sum of values
Number of values
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Two dice were thrown 10 times and their scores were added together and recorded. Find the range and mean for this data.
7, 5, 2, 7, 6, 12, 10, 4, 8, 9
Mean
Range 12 2
7 + 5 + 2 + 7 + 6 + 12 + 10 + 4 + 8 + 910
7010
10
7
highest - lowest
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Here are some 1500 metre race results in minutes.
It may be appropriate in research or experiments to remove an extreme value before carrying out analysis of results.
6.26 6.28 6.30 6.39 5.38 4.54 10.59 6.35 7.01
Are there any extreme values?
Will the mean be increased or reduced by the extreme value?
Calculate the mean with the extreme value.
Now calculate the mean without the extreme value. How much does it change?
Extreme values and their effect on the mean
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Now try TJ3bEx 6
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Mean and RangeMean and Range
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Starter Starter QuestionsQuestions
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2 21.
2. Calculate 3 + (2 x4) - 7
3. Simplif y 2a + 3b - 4a +3ab+6b
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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2.2. Calculate values for the Calculate values for the Mean, Median, Mode and Mean, Median, Mode and Range in a context.Range in a context.
1. We are learning the terms Mean Median, Mode and Range for a set of data.
1.1. Understand the Understand the differences between the differences between the terms Mean, Median, Mode terms Mean, Median, Mode and Range.and Range.
Median and Mode
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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“measure of central tendency” but should also indicate
what the distribution of data looks like.
This is why we have 3 different types of averages to consider
1. The Mean
2. The Median (put the data in order then find the MIDDLE value)
3. The Mode (the number that appears the most)
Different Averages
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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1+1+1+1+2+3+26The Mean = =5
7
Find the mean of the set of data 1, 1, 1, 1, 2, 3, 26
Can you see that this is not the most suitable of averages
since five out of the six numbers are all below the mean of 5
Median and Mode
For the above data the Median or Mode is a better average = 1
Mode = 1 Median = 1
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Median and Mode
Example :
Find the mean, median, mode and range for the set of data.
10, 2, 14, 1, 14, 7
Mean = 486
= 8
Mode = 14
Range = H – L = 14 – 1 = 13
1, 2, 7, 10, 14, 14
Median = 7 + 10
2= 8.5
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 7
Ch12 (page 130)
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StatisticsStatistics
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Starter Starter QuestionsQuestions
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2,3, 4, 5
2. Calculate 60% of 360
3. Calculate 7b x 9b
1 14. How many degrees in , , of a circle.
12 20
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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1. We are learning to display data in the form of a Stem-Leaf Graph.
1. Be able Construct and understand the Key-Points of a Stem-Leaf Graph.
Stem Leaf GraphsStem Leaf GraphsConstruction of Stem-Leaf
2. Answer questions based on the graph.
Stem and Leaf DiagramsStem and leaf diagrams are a pictorial way of showing statistics
The important parts of a stem and leaf diagram are
The Title
The stem
The leaves in order
starting from the stem
The number of items
The key
Class Maths Marks
1
2
3
4
0 2 2 6 8
3 4 5 9 9
0 0 2 6 8 9 9
0 4 5
n = 20
2 / 3 means a mark of 23
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Stem Leaf GraphsStem Leaf GraphsConstruction of Stem and Leaf
A Stem – Leaf graph is another way of displaying information :
This stem and leaf graph shows the ages of people waiting in a queue at a post office
2 4 6 8
3 0 1 3
4 4 4 5 6 7 9
5 0 3 4 9
6 1 4 5 6
stem leaves
Ages
n = 20 Key : 2 4 means 24
How many people in the queue?
How many people in their forties?
20
6
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Stem Leaf GraphsStem Leaf GraphsConstruction of Stem and Leaf
Example : Construct a stem and leaf graphs for the following weights in (kgs) :
1 2
2
3
4
5
stem leaves
Weight (kgs)
n = 20 Key : 2 3 means 23
2
1
0
3
3 9
2 2
0 1 1
1 4 5 5
5 5
5 7
1212 4040 5757 5454 5555
1313 5555 1515 3232 5555
3232 1515 4141 2121 4040
2323 4141 2929 5151 1212
1212 1212 1313 1515 1515
2121 2323 2929 3232 3232
4040 4040 4141 4141 5151
5454 5555 5555 5555 5757
A group of students were asked how much pocket money they get. The results were.
£6.60 £6.90 £6.20 £5.80 £7.40 £5.60 £6.70 £7.20
£6.10 £6.20 £5.90 £6.00 £7.20 £5.80 £6.30
Draw a Stem and Leaf diagram to show this
6 8 8 9
0 1 2 2 3 6 7 9
2 2 4
n = 15
6 / 2 means £6.20
5
6
7
Pocket money
Stem and Leaf diagrams can be used to compare 2 sets of data.
To do this we draw a back to back stem and leaf diagram.
0
1
2
3
4
9 8
8 5 3
9 4 4 5 2 0
6 4 3 1 1 0
7 3 3
6 8 9
1 2 2 2 5 5 8
0 0 1 1 6 7
3 7 7
1
Maths marks for class 1A Maths marks for class 1B
n = 20
n = 20
3/2 means a mark of 32
How many students in 1A had a mark of 31?How many students in 1B had a mark of 12?Which class appears to be best at Maths?
2
3
1A
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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Starter Starter QuestionsQuestions
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2,7, 4, 4
2. Calculate 3 + 6 x 9
3. Calculate 2d x (-5d)
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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1. We are learning the important details of a good survey.
1. Understand the important features of a good survey.
Constructing a Constructing a SurveySurvey
2. Create a good survey.
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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A Good Survey
To make a good survey you need to think about....
• Have you avoided being bias in your survey• Will you use a tick box or questionnaire• Discrete (countable) or Continuous (measureable)• Presentation of your survey• How will you present your results.
Lets look at some examples
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
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A Good Survey
To make a good survey you need to think about....
• Have you avoided being bias in your survey• Will you use a tick box or questionnaire• Discrete (countable) or Continuous (measureable)• Presentation of your survey• How will you present your results.
Lets look at some examples
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Survey’sGood or Bad
surveyquestion
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Survey’sGood or Bad
surveyquestion
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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Survey’sGood or Bad
surveyquestion
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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Survey’sGood or Bad
surveyquestion
MNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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Type of DataMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
Continuous (measurable)
Discrete (countable)
Discrete (countable)
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Harder Survey’sMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
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PresentationMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a
MNU 3-20aMTH 3-21aMTH 3-20bMTH 4-20b
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3bEx 8
Ch12 (page 132)
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SurveySurveyHave you updated
your Learning Log ?
Are you on Target ?I can ?
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From your survey sheet pick a question and
survey 20 people and present your answers
appropriately
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SurveySurveyMNU 3-20a MNU 2-20b MTH 2-21a MTH 3-21a