mnu 3-20a mth 3-21a mth 3-20b mth 4-20b 26-dec-15created by mr. lafferty maths dept. statistics...

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



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


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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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.


21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww

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Bar GraphsBar Graphs



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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



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Line GraphsLine Graphs



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Best Cars

Cars R Us



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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



Now try TJ3bEx 1

Ch12 (page 118)

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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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



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SpreadsheetSpreadsheet

Computer Suite Lessonusing textbook questions



Now try TJ3bEx 2

Ch12 (page 121)

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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



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Computer Suite Lessonusing textbook questions



Now try TJ3bEx 3

Ch12 (page 122)

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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


21 Apr 202321 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 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


Pie Chartsw

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510

210

310


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


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



Pie Charts



20

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

5


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


Pie charts can be thought of as circle graphs.


Pie Charts



10


Pie Charts worksheet

20 piece 10 piece



Now try TJ3bEx 4

Ch12 (page 124)

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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



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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


Total 300

75Rugby angle = 360 0

3009 ox

Drawing Pie Charts


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 – 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


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

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




Van

ill

a


1203 ox


1206 ox


1208 ox


127

01 ox

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57




Van

illa


1203 ox


1206 ox


1208 ox


127

01 ox

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57




Van

illa

Banana


1203 ox


1206 ox


1208 ox


127

01 ox

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57




Banana

Vanilla


1203 ox


1206 ox


1208 ox


127

01 ox

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57




Banana

Vanilla

Chocolat

eStra

wberry


1203 ox


1206 ox


1208 ox


127

01 ox

Drawing Pie Charts

Total 120

Vanilla

Banana

Chocolate

Strawberry

13

22

28

57




Banana

Van

ill

a

Cho

cola

te

Strawberry

39o66o

84o

171o


1203 ox


1206 ox


1208 ox


127

01 ox



Now try TJ3bEx 5

Ch12 (page 126)

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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



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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.


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.


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


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


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


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



Now try TJ3bEx 6

Ch12 (page 128)

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Mean and RangeMean and Range




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2 21.

2. Calculate 3 + (2 x4) - 7

3. Simplif y 2a + 3b - 4a +3ab+6b



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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



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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



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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



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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



Now try TJ3bEx 7

Ch12 (page 130)

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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



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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



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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



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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




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2,7, 4, 4

2. Calculate 3 + 6 x 9

3. Calculate 2d x (-5d)



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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.



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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

21 Apr 202321 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 9292ww

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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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surveyquestion


21 Apr 2023 Created by Mr. Lafferty 95ww

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surveyquestion



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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



Now try TJ3bEx 8

Ch12 (page 132)

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SurveySurveyHave you updated

your Learning Log ?

Are you on Target ?I can ?

21 Apr 202321 Apr 2023 Created by Mr. LaffertyCreated by Mr. Lafferty 100100

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

mnu 3-20a mth 3-21a mth 3-20b mth 4-20b 26-dec-15created by mr. lafferty maths dept. statistics...

Documents

lafferty maths deptwww

comline graphscreated

comline graphslets

ch12 page

simple pie charts

circle graphs

following tableremember

starter questionswww