Types of graphs 1 – picture graphs - 3P Learning · The same information can be represented in different graphs. a Design a column graph to represent the data shown in this picture

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Data Representation

SERIES TOPIC

1F 1

This graph shows the number of tickets bought at the local cinema.

a Howmanyticketswerebought forComedyandChildrenmovies?

b Whatwasthetotalamountof ticketsbought?

Movie Classification Tickets Bought

Comedy

Children

Horror

Action/Drama

Key: =100tickets

1

Picturegraphsareusedtodisplaylargeamountsofdata.Asymbolischosentorepresentaspecificamount.Picturegraphshaveatitlethattellsuswhatdatahasbeencollected,categorylabelsandakeytoshowthevalueofthesymbol.

Howmanychocolatecupcakesweresold?

4 + 4 + 4 + 4 + 2 = 18

Types of graphs 1 – picture graphs

Cupcakes Sold in a Day Key: =4cupcakes

Strawberry

Chocolate

Cherry

Choc-chip

1

2

At the bus terminal buses arrive and depart at regular intervals. This picture graph shows the number of buses that departed the bus terminal in one week. Use the graph and the key to answer the following:

a Onwhichdaydid55busesdepart?

c Howmanybusesdepartonthisday?

e Howmanymorebusesdepart onFridaythanSaturday?

b Whichistheterminal’sbusiestday?

d HowmanybusesleaveonTuesday?

Key:=10buses

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Friday

70 45

1 150

1 900

15

Wednesday


Data Representation

SERIES TOPIC

2 F 1

In a scandal that rocked the school, it was found that ticket sales data were fudged. The maximum attendees for any one week was actually 60.

a Howmanyticketsdoeseachsymbolnowrepresent?

b Howmanyticketswerereallysoldduringtheentiresalesperiod?


5F put on their own version of “So You Think You Can Dance”. Use the graph and key to answer the following:

Ticket Sales Key: =20tickets

Week 1

Week 2

Week 3

Week 4

Week 5

a Howmanyticketsdoeseach represent?

b HowmanyticketsweresoldinWeek1?

c HowmanyticketsweresoldinWeek5?

d Inwhichweekwerethemostticketssold?

e Howmanyticketsweresoldthatweek?

f Duringwhichtwoweekswerethesamenumberofticketssold?

g HowmanymoreticketsweresoldinWeek3thanWeek1?

h Howmanyticketsweresoldduringtheentiresalesperiod?

3

4

20

80

70

Week 3

120

Week 2 and Week 4

40

450

10

225


Data Representation

SERIES TOPIC

3F 11

Bars sold in Week 2 of the charity drive appear in the tally column of this table. Represent this information using symbols. The first student has been done for you:

Week 2 Chocolate Sale

Student Tally Picture Graph

Ethan

Claire

Pablo

Heba

Reece

Mia

Rania

Hassan

a DuringWeek2,howmuchmoneywasraisedaltogether?Eachchocolatebaris$2.

b Aprizewasgivenattheendofthetwoweekstothestudentwhoraisedthemost money.Whowon?


Students sold chocolates to raise money for charity. This picture graph shows their collection for the first week. Use this graph to answer the following:

Week 1 Chocolate Sale

Ethan

Claire

Pablo

Heba

Reece

Mia

Rania

Hassan

a Whosold56chocolatebars? b Whosold 12 dozenbars?

c Miasold chocolatebars. d HowmanybarsdidEthansell?

e Howmanybarsweresold f Ifeachbarsoldfor$2,howmuch altogether? moneydidthegroupraiseforcharity?

5

6

Key:=4bars

Key:=4bars

Pablo Heba

48

246

40

$276

Pablo

$492


Data Representation

SERIES TOPIC

4 F 1

Write a problem using the new data for a partner to solve:

Below are the November figures for the same cities. Add them to the graph (above). Think first how best to do this:

Paris 65 mm London 40 mm Sydney 95 mm Tokyo 60 mm Rome 30 mm

a Willyouusethesamecolourcolumns?

____________________________________________________________________________________

b Willyouneedtochangeanythingelseonthegraph?

____________________________________________________________________________________

Answer the questions about this column graph:

a Whichcityhadthehighestrainfall inOctober?

b Whatwasthiscity’srainfall?

c Whichcitieshadarainfallbetween70mm and90mm?

d Howmanymoremillimetresof raindidRomehavethanParis?

Weoftenusecolumngraphswhenwewanttocomparedata.Allcolumngraphshaveatitleandeachaxisislabelled.

Fromthiswecanquicklyseethat16whitecarsweresoldinMarchandthatthiswasthemostpopularcolourchoice.

Types of graphs 1 – column graphs

Colour of Cars Sold in March

Num

ber

of C

ars

Blue White Red BlackCar Colour

16

14

12

10

8

6

4

2

0

1

3

2

Total Rainfall in October

Rain

fall

(mm

)

Paris London Sydney Toyko RomeCapital Cities

100

90

80

70

60

50

40

30

20

10

0

Key: Oct Nov

Rome

London and Sydney

100 mm

45 mm

100

90

80

70

60

50

40

30

20

10

0

Answers will vary.

No– add a key to show which column is which.

Yes, the title to: Total Rainfall in October and November.

Total Rainfall in October

Rain

fall

(mm

)

Paris London Sydney Toyko RomeCapital Cities

Key: Oct Nov


Data Representation

SERIES TOPIC

5F 11

b Whataresomekeyissuesonthegraphyou’dpointout?Workinasmallteamtocomeupwith asolution.Pretendyourteacheroranothergroupistheprincipalandpresentyourcase.


The after care kids are staging a mutiny. They are over watching the same DVDs and making popcorn every day and want to do something new and exciting on Wednesdays. This table shows the activities they’d prefer.

a Helpthempresentacasetotheprincipalbycompletingthecolumngraph:

4Activity

Number of Students

Nochange 1

Swimming 30

Art 11

Football 18

Dancing 23

Name your graph and both axes

Label each column

Select and label an appropriate scale

3029282726252423222120191817161514131211109876543210

Answers will vary.

Wednesday Activities

No Change Swimming Art Football Dancing

Activities

Nu

mber

of

Stu

den

ts


Data Representation

SERIES TOPIC

6 F 1

5D decide to run a recycling campaign and collect cans in and around the school. They recorded how many cans were collected each week and started constructing this column graph. In Week 3 they collected 40 cans and in Week 4 they collected 10 cans.

a AddWeek3and4datatothegraph.

b Therewasasoftdrinkspecialatthelocalstoreduringoneoftheweeks.Whichweekdoyouthinkitwasandwhy?

___________________________________________

___________________________________________

___________________________________________

c Howmanycanswerecollectedinall?

d Ifeachcanisworth5¢,howmuch moneydid5Dmakefromthecampaign?

The same information can be represented in different graphs.

a Designacolumngraphtorepresentthedatashowninthispicturegraph.


5

6

Type of Movie Ticket Sales

Comedy

Children

Horror

Action/Drama

Key: =20tickets

b Ifyouranacinemaandwantedtoplanyourweeklymovieschedule,whichgraphwould youprefer?Whichtypeofgraphmakesiteasiertoanalyseandcomparedata?

Comedy Children Horror Action/ Drama

100

80

60

40

20

0

40

35

30

25

20

15

10

5

0

Cans Collected

Num

ber

of C

ans

1 2 3 4

Week

Name your graph

Label both axes


Label each column

Cans Collected

Num

ber

of C

ans

1 2 3 4

Week

40

35

30

25

20

15

10

5

0

collected.

Week 3 because the most cans were

85

Ticket Sales

Type of Movie

Nu

mber

of

Tic

ket

s

$4.25

Comedy Children Horror Action/ Drama

100

80

60

40

20

0

Answers will vary.


Data Representation

SERIES TOPIC

7F 22

A group of students was surveyed to find out what they spend their pocket money on. This pie chart shows the results. Circle True or False next to each statement.

a Morethanhalfthestudentssurveyedspent theirmoneyonamobilephone.

True/False

b 4

20 surveyedspenttheirmoneyonfood.

True/False

c 20studentsweresurveyedintotal.

True/False

Colour and label this pie chart according to the information in the table:

Apiechart,alsoknownasasectorgraph,showsdataaspartsofawhole.Thecirclerepresents thetotalamountwhilethesegmentsaretheparts.Whenwecomparethepartstothewhole,we’relookingatproportion.Thisisoftenwrittenasafraction.

Types of graphs 2 – pie charts

1

2

Toys1

Mobile phone

12

Music4

Food3

Category Amount Fraction

Red 3

Blue 2

Yellow 5

Total

What do students spend their pocket money on?

Thispiechartshowsthefavouriteicecreamflavoursof10people.

Favourite ice cream flavours of 10 people

Thetablebelowsummarisestheinformationdisplayedonthisgraph.


Vanilla 33

10

Strawberry 22

10

Mango 11

10

Choc-chip 44

10

Total 101010

Choc-chip4

Vanilla3

Strawberry2

Mango1

Favourite colours of 10 people

R

Y

B

Y

R

Y

B

Y

R Y

10

310

210

510

1010


Data Representation

SERIES TOPIC

8 F 22

The total amount that this graph is representing is 40. What could this be about? Give this pie chart a title and describe it by completing the table below:


Total

To boost ratings, Radio Non-Stop-Hits ran a promotion where they gave away prizes every hour. This pie chart shows the distribution of 60 prizes that they gave away.


5F and 5H were planning a pizza party and conducted a survey of favourite toppings. This pie chart shows the results.

3

4

5

a Howmanyofeachprizeweregivenout?

Concerttickets Groceryvouchers Money

b Theradiostation’saccountantrealisedthepiechartwascorrectlydividedbutthere’dbeenamiscalculationinthenumberofprizesgivenout.There’dactuallybeen25moneyprizesgivenaway.Calculatetheactualamounts:

Concerttickets Groceryvouchers Money

Types of Prizes

Groceryvouchers

MoneyConcerttickets

a Completethesummarytableifthere are40studentsaltogether.

b Theirteachersaidtheycouldorder10pizzas.Howmanyofeachflavourshouldtheyget?

Chicken Ham Beef


Chicken

Ham

Beef

Total 40 1010

Pizza Topping Survey

Chicken16

Beef16

Ham8

16

15

25

10

20

10

30

50

15

25

Answers will vary.

Proportions as shown.

4 2 4

8

16410

210

410

– 10 or

– 10 or

– 20 or

40

1040

1040

2040

4040

14

14

12


Data Representation

SERIES TOPIC

9F 22

Survey 10 children on the topic of favourites. You can ask about favourite foods, TV shows, music or whatever you like.

a Writethetopicatthetopofthefirstcolumn.

b Write4optionstochoosefromunderneath.

c Recordyourresultsinthefrequencytablebelow.

d Transferthedatafromthefrequencytabletothe piechart.

e Labelallsectionscorrectly.

Tally Amount

f Writeastatementaboutwhatyourpiechartshows:


Create your own pie chart.

a Ask10studentstochoosewhichofthesegaming consolestheylikebest.

b Usethetablebelowtocollectyourdata.

c Showtheresultsonaclearlylabelledpiechart.

Gaming Console Tally Amount

Wii

Xbox360

Playstation3

NintendoGameCube

d WhatfractionofthegroupsurveyedchoseWii?

6

7

Answers will vary.

Answers will vary.


Data Representation

SERIES TOPIC

10 F 22

This divided bar graph shows how Paula spent $360 on her party. Answer the questions below about how much she spent on each category. You may use a calculator.

Entertainment Food and drink Decorations

a Whatiseachsegmentworth?

b 13 wasspentondecorations.Howmuchisthis?

c 29 wasspentonfoodanddrink.Howmuchisthis?

d Howmuchwasspentonentertainment?Showyourworkingsbelow:

Adividedbargraphisusedtoshowhowatotalisdivided.

It’ssimilartoapiechartexceptit’sarectangledividedintopartsthatrepresenttheinformation.

Thisdividedbargraphshowsthefavouritefoodof10children.

Pizza4 Icecream3 Chips2 Pies1

Types of graphs 2 – divided bar graphs

The Nicholls’ family grocery budget is $200 per week. This table shows how the money is spent:

Fruit Vegetables Meat Snacks Drinks

$20 $40 $60 $40 $40

a Showtheinformationinthistableasadividedbargraph.Eachspacerepresents$20.

b Whatwas3

10ofthebudgetspenton?

1

2

FruitFruit Vegetables Meat Snacks Drinks

Meat

$40

$120

$80

49 of $360 = $160

or

$360 – $200 = $160


Data Representation

SERIES TOPIC

11F 22

Types of graphs 2 – divided bar graphs

You want to try snowboarding and you need to ask your parents for $1 000 to buy all the gear. Understandably, they want to know how their hard earned cash will be spent.

3

Helmet$100Goggles$50

Jacket$250

Bindings$100

Gloves$50

Boots$150

Board$300

Complete a divided bar graph to show them. Colour in each category a different colour, label it clearly and include a title.

Title

Helmet $100

Boots $150

Jacket $250

Board $300

Cost of Snowboarding Gear

Googles $50

Bindings $100

Gloves $50


Data Representation

SERIES TOPIC

12 F 33

Look carefully at this line graph and answer the questions:

a Howmanysquarekilometresofforestwaslostin1996?

b Howmanysquarekilometresofforestwaslostin2000?

c Inwhichyearwere7000squarekilometresofforestlost?

d Howmuchmoreforestwaslostin2000thanin2008?

e Usethegraphtoestimatetheforestlossin1999.

f Usethegraphtoestimatetheforestlossin2003.

Types of graphs 3 – reading line graphs

Linegraphsshowhowsomethingchangesovertimeinrelationtosomethingelse.Inthistopic,we’lllookatdifferentexamplesoflinegraphs.Lookatthelinegraphbelow.Seehowthemoretimepassed,thehigherthewatergot?

Inwhichhourwasthewater8metresdeep?Lookbelowforhowwereadthisinformation:

Forest Loss in Disfushi Island

Ann

ual F

ores

t Los

s (t

hous

and

km2 )

Year

12

10

8

6

4

2

01996 1998 2000 2002 2004 2006 2008

1

Rise in Flood WatersW

ater

dep

th (m

etre

s)

Time (hours)

10

8

6

4

2

01 2 3 4 5 6

8 m

4hours

6 000 km2

11 000 km2

2006

5 000 km2

8 000 km2

9 000 km2


Data Representation

SERIES TOPIC

13F 33

This graph shows a kite’s height at different times. Answer the questions below:

Types of graphs 3 – reading line graphs

Polly and her friend Molly were practising reading a thermometer for homework. They boiled water in a kettle and then took turns measuring the temperature every minute as it cooled down. To make this more interesting, they made it a guessing game.

Look at the graph and answer the questions to see how they went:

a Pollyguessedthatafter1minutethetemperaturewouldbe46oC.Wassheright?

b Mollyguessedthatafter2minutesthetemperaturewouldbe34oC.Wassheright?

Look closely at the graph they made showing the temperature of the water in the kettle.

c Whatisthevalueofeachsmalldivisionon thetemperatureaxis?

d Byhowmuchdidthewatercooldownbetween2minutesand4minutes?

e Howlongdidthewatertaketocoolto19oC?

2

3

Cooling Water

Tem

pera

ture

(oC)

Time (minutes)

70

60

50

40

30

20

10

10 2 3 4 5 6 7

a Whatwasthekite’sheight at65seconds?

b Howlongdidthekite taketorisefrom 25metresto40metres?

c Estimatetheheightofthekiteat1minute.

d Ifthekitecontinuedtorise,howhighdoyouthinkitwouldbeafter90seconds?

Height of Kite

Hei

ght (

met

res)

Time (seconds)

60

50

40

30

20

10

100 20 30 40 50 60 70 80

No

No

5 ºC

10 ºC

50 metres

6 mins

15 seconds

47/48 metres

70 metres


Data Representation

SERIES TOPIC

14 F 33

Let’sseehowtobuildalinegraphfromadatatable.

Thisdatashowstherateoffillingafishtankwithwater.

Minutes 1 2 3 4 5

Litres 15 30 45 60 75

Types of graphs 3 – constructing line graphs

Step 1Carefullyplotthedatafromthetable.

Step 2Jointhepointswithstraightlines.

Rate of Filling a Fish Tank

Litr

es

Minutes

75

60

45

30

15

1 2 3 4 5

Rate of Filling a Fish Tank

Litr

es

Minutes

75

60

45

30

15

1 2 3 4 5

1

0 0

The average rate that water evaporates from an indoor swimming pool is 6 mm a month.

a Completethistabletoshowhowmuchwaterwillevaporateover6months:

Millimetres 6

Month January February March April May June

b Labeltheverticalaxiswithanappropriatescale,thenplotthepointsandjointhepointswitharuler.Whatelsedoyouneedtoaddtomakethisgraphcomplete?

c Write2questionsaboutthisgraphandwritetheanswers.

Usually,we join the dots, but sometimes we don’t.

Wat

er e

vapo

rate

d in

mm

Months of the Year

January February March April May June

12 18 24 30 36

Rate of Evaporation

3630241812

60

Answers will vary.

Answers may vary.


Data Representation

SERIES TOPIC

15F 33

A car uses 8 litres of petrol for every 50 km travelled.

a Completethistabletoshowhowmuchpetrolisneededforajourney:

Litres 8 16 24 32 40 48 56 64 72 80

Kilometres 50

b Completethislinegraph:

c Howfarcanthecargoon32litresofpetrol?

d Howmanylitresofpetrolareneededtotravel450km?

e Howfarwouldacartravelon12litresofpetrol?

f Howfarwouldyouhavetravelledifyouused 96litresofpetrol?

g Ifthiscar’sfueltankhadacapacityof40litres, howmanytimeswouldyouneedtofillitifyou wantedtotravel500km?

2

Types of graphs 3 – constructing line graphs

Kilo

met

res

Litres

450

400

350

300

250

200

150

100

50

8 16 24 32 40 48 56 64 72 800

500

100 150 200 250 200 350 400 450 500

Petrol Used

200 km

72 litres

75 km

600 km

2

Answers may vary.


Data Representation

SERIES TOPIC

16 F 33

This travel graph shows the journey of the Henderson family on a driving holiday.

a Whattimedidtheyleavehome?

b Howlongwastheirfirstreststop?

c Howfarhadtheytravelledby10am?

d Atwhatspeedweretheytravelling between3pmand5pm?

e Whatcouldtheyhavebeendoingat2.30pm?

_________________________________________

f Howlongwasthejourney,excludingreststops?

Types of graphs 3 – travel graphs

Atravelgraphisatypeoflinegraphthatshowsthedistancetravelledandthetimetakentotravelthatdistance.Wecantellalotaboutajourneyjustbytheshapeofaline.

Journey of a Car

Dis

tanc

e fr

om h

ome

(km

)

Time (hours)

400

300

200

100

8 am 9am 10 am 11 am 12pm 1pm 2pm 3pm0

Thiscarleaveshomeat8amforaholiday.

Hereweseethecarstopsforonehour.Weknowthisbecauseitstaysat200kmfromhomebetween12pmand1pm.Thistellsusit’snotmoving.

Between1pmand2pm,thecartravelsat100kmperhour.

Between8amand12pm,ittravels200km.Thisis50kmperhour.

1

The Henderson Holiday

Dis

tanc

e (k

m)

Time (hours)

350

300

250

200

150

100

50

98 10 11 12 1 2 3 4 5noon pmam

8 am

1 hour

100 km

75 km/hr

7 hours

Having lunch or taking a break.


Data Representation

SERIES TOPIC

17F 33

Connect each travel graph to the matching statement with a line.

Types of graphs 3 – travel graphs

Look carefully at this journey of a cyclist and fill in the blanks.

a Istartedtrainingat .

b Imetafriendforbreakfastat .

Icontinuedagainat .

c By8amIhadcycled km.

d Duetoaflattyre,Ihadtostopagainat .

e Iturnedaroundtocycleallthewayhomeat .

f Igothomeat andhadanicelongbubblebath.

2

Julie’s Cycling Training

Dis

tanc

e (k

m)

Time of the Day (am)

60

50

40

30

20

10

5 6 7 8 9 10 11

3

Iwasonmywayto schoolwhenIfeltsick, soIturnedaroundand

wenthomeagain.

Onthewaytotheshops westoppedtogetpetrol.

Wetravelledatthesamespeed,notstoppinguntil

wegotthere.

Time

Dis

tanc

e fr

om H

ome

Time

Dis

tanc

e fr

om H

ome

Time

Dis

tanc

e fr

om H

ome

5 am

6 am

7 am

45

8 am

10 am

11 am


Data Representation

SERIES TOPIC

18 F 44

Charlie sold drinks at the beach for an hour each day. He wrote down the drinks he sold each day:

Monday Coke Lemonade Water Juice

Tuesday Juice Juice Coke Coke

Wednesday Water Juice Juice Juice Coke Lemonade

Thursday Water Water Water Coke Coke Juice Lemonade

Friday Lemonade Water Juice Coke Coke Juice

Saturday Coke Coke Coke Juice Juice Water Water

Sunday Lemonade Lemonade Coke Juice Water Coke

Rawdataisoftencollectedinafrequencytable.Tallymarksareaquickwaytorecordnumbers.Whenwe’refinished,weaddthemarkstofindtotals:

Car Types in Car Park Tally Frequency

4WD 20

Sedan 17

Stationwagon 20

Hatchback 14

Collecting and analysing data – frequency tables

1

a Thisisatime-consumingwaytorecorddata.ShowCharliehowtosetupafrequencytabletorecordthesamedatafaster.Thefirstone hasbeendoneforyou.

b Representyourdatainacolumngraph:

Type of Drink Tally Frequency

Coke 13

Juice

Water

Lemonade

Name your graph and both axes

Label each column


12

9

6

Coke

Juice

Wa

ter

Lemon

ad

e

Nu

mber

of

Dri

nks

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

Types of Drinks Sold


Data Representation

SERIES TOPIC

19F 44

The table below shows the number of goals scored over a 5 week period by 3 football teams:

6/3 13/3 20/3 27/3 3/4 Total Mean

FantasticFootballers 2 0 2 8 16

SeriousSocceroos 3 2 4 1 3

DangerousDribblers 0 0 0 0 15 3

a Completethetablebyfillinginthemissinginformation.

b Whichteamhasscoredthemostgoals?

c Whichteamhasthehighestmean?

d You’rethinkingofjoiningeithertheSeriousSocerooosortheDangerousDribblers.Theybothhave ameanof3goalspergame.Whichteamdoyouthinkwouldbemorecompetitiveandwhy?

Look at the following diving scores:

Marita7.2 Ben9.4 Ari4.6 Mia7.6

a Calculatethemean.

b Whowasclosesttothemean?

Whenwesaywe’refindingthe‘average’,we’refindingthemean.Todoso,weaddallthescoresthendividebythenumberofscores:

Forexample,themeanof2,3,4,5,6= 2+3+4+5+6

5 = 4

Soifthenumbersaboverepresentedeggsfoundby5childreninanEasteregghunt,it’dbefairestifeachchildreceived4.Ofcourse,inegghunts,it’susuallyeverypersonforthemselves!

Find the mean in each set of data by adding the scores and then dividing by the number of scores:

Collecting and analysing data – mean

3

2

a 13,4,7,11,5

= 13+4+7+11+5

5

=40÷5

= _______________

b 9,13,5 c 3,5,9,2,6

1

8

= 9 + 13 + 53

= 27 ÷ 3

= 9

= 3 + 5 + 9 + 2 + 65

= 25 ÷ 5

= 5

7.2

4

5

3.2

15

15

Marita

Fantastic Footballer

Serious Socceroos because they score more regularly.

Fantastic Footballer


Data Representation

SERIES TOPIC

20 F 44

Here is a graph showing the temperature in London:

a Calculatethemeantemperature fortheweek:

b IfyouweretravellingtoLondon fortheweek,whatclotheswould youpack?


Emma has just moved into a new neighbourhood and wants to start babysitting. She asks the girls at school what they charge and records this information in a graph:

a IfEmmawantstoundercutalltheothers,whatwouldyourecommendshechargeperhour?

b IfEmmawantstopositionherselfasanexclusive (expensive)babysitter,whatwouldyourecommendshechargeperhour?

c Emmadecidestochargethemeanpriceperhour.Whatdoesshecharge?

d Rubydecidestoaddabookingfeeof50¢perhour.Shereckonsifonlinebookingagenciescangetawaywithit,socanshe.Howdoesthischangethemeanpricechargedbythegroup?

5

4

Price Charged Per Hour of Babysitting

Pric

e

Jamila

Ruby

Leng

Claire

Imogen

Girls

5

4

3

2

1

0

$

Temperature in London Over One Week in March

Deg

rees

in C

elsi

us

22March

23March

24 March

25 March

26March

27March

28March

Dates

20

18

16

14

12

10

8

6

4

2

0

More than $4.50

The mean is now $3.60.

$3.50

Less than $2.50

11 ºC

Warm clothes.


Data Representation

SERIES TOPIC

21F 44

Create a column graph of your results. Label each axis.

a Whatisyourmeannumberofcubesthatlandedinthebox?

b Whatwasyourpartner’smeannumberofcubesthatlandedinthebox?

c Whatwasthemeanofbothsetsofdatatogether?

d Doyouthinkthemeanpaintsanaccuratepictureoftheprocess?


You and a partner are going to record how many cubes land in a box. You will need 10 unifix cubes and an empty lunchbox.

1 Placethelunchbox1metreinfrontofyou.

2 Sitonthefloor.

3 Taketurnsthrowing all10cubesatthe sametime.

4 Eachrecordyour resultsinthedata tableontheright.

5 Repeattheprocess 5times.

7

6

Throw Tally

1

2

3

4

5

Number of Cubes that Landed in the Box

Throw1 Throw2 Throw3 Throw4 Throw5

10

9

8

7

6

5

4

3

2

1

0

Answers will vary.

Answers will vary.

Nu

mber

of

cubes

Throw


Data Representation

SERIES TOPIC

22 F 44

Study all the different types of graphs showing sales of chocolate bars. Match each graph to its main feature by completing the table below:

Picture Graph Divided Bar Graph Sales of Chocolate Bars Sales of Chocolate Bars

Pie Chart Line Graph Sales of Chocolate Bars Sales of Chocolate Bars

Main Feature Name of Graph

Cleartoseehowbigeachcategoryiscomparedtothewhole.Sometimeshasakeyandlookslikeapie.

Showsanexactamountineachcategoryandallowsyouto comparecategories.

Comparessizesofcategoriesataglanceandtakesupverylittlespace.

Showsnumericaldatausingpictures.Hasakey.

Showshowdatachangesinrelationtosomething–usuallytime.

Collecting and analysing data – collecting data

1

Monday

Tuesday

Wednesday

Thursday

Key: =10chocolatebars

Monday20

Wednesday40

Tuesday30

Thursday20

Sale

s

Day of the Week

40

30

20

10

0Mon Tues Wed Thurs

Mon Tues Wed Thurs

Column GraphSales of Chocolate Bars

Sale

s

Day of the Week

40

30

20

10

0Mon Tues Wed Thurs

Pie chart

Column graph

Divided bar graph

Picture graph

Line graph


Data Representation

SERIES TOPIC

23F 44

Collecting and analysing data – collecting data

Here are 3 different sets of data. Read over each table of data and decide which is the most appropriate graph to use.

Construct the graphs using the templates below. You must work out the scale, label the axes and remember a heading for each graph:

a Showhowmanybookseachpersonreadovertheholidays.Itshouldbecleartoseewhoreadthemostandwhoreadtheleast.

b Showhowmuchaplanthasgrownover6weeks.Itshouldbecleartoseewherethebiggestgrowthspurtwas.

c Showwhatthe$100profitthatthecanteenmadeyesterdaywasmadeupof.

2

Graph 1

Name Number of Books

Blair 8

Charlie 4

Amity 5

Nicky 12

Graph 2

Week Height of Plant

1 2.5cm

2 3cm

3 5cm

4 7.5cm

5 9cm

6 9.5cm

Graph 3

Item Profit

Hotfood $40

Chips $30

Drinks $20

Fruit $10

Chips

Weeks

Names

Hei

gh

t in

cm

Nu

mber

of

Books

Canteen Profits

1 2 3 4 5 6

10 9 8 7 6 5 4 3 2 1 0

12 10

8 6 4 2 0

Growth of a Plant

Holiday Reading

Drinks

FruitHot food

Blair Charlie Amity Nicky


Data Representation

SERIES TOPIC

24 F 55

Getting ready

What to do Readthisnextpartverycarefully.AbankwasrobbedduringthemonthofMay.

Sinceitwasthebankwithallyoursavings,youhaveavestedinterestintrackingdowntheoffender.

Aninformanthastoldyouthatthecrimewascommittedonthethief’sbirthday.Theytreatedthemselvestoashoppingspreewithyourmoney!Apparentlytheycreptinduringabusyweekdayandquietlycrackedasafe.

Thenextthreepagescontaindataaboutcriminalsinyourarea.Usetheinformationtoidentifythethiefandgetyourmoneyback.You’llneedtoflickbetweengraphsandcluestocrackthecase.

Whodunnit? solve

EG

FF SK HC MH

NK EW PJ BJ LM CW

DC MC BT FC BB EK DK LL RB SM

J F M A M J J A S O N D

Birthdays of Local Criminals

MAYSunday Monday Tuesday Wednesday Thursday Friday Saturday

1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23

24

31

25 26 27 28 29 30

CLUE 1

CLUE 2

More clues on page 25.

Manycrimesaresolvedbygruntwork.Detectivesspendcountlesshourssiftingthroughdata.Itcanbeonetinyfactthatbreaksacaseopen.


Data Representation

SERIES TOPIC

25F 55

Whodunnit? solve

CLUE 3 CLUE 4

Birthdates by Gender

Males Females

04.01.75 11.02.85

23.02.86 14.02.78

17.02.66 03.03.80

02.04.73 13.05.84

04.04.75 07.07.77

24.04.67 17.10.78

10.05.81 31.10.87

23.05.82

18.07.81

09.08.67

18.08.63

26.09.66

13.10.72

24.12.65

Gender Breakdown of Local Criminals

CLUE 5

SamMcNab

MasterCriminal

BobetteTrimbole

NedKelly

DanKelly

EllenKelly

Pretty-boyJones

HarryCracker

MataHari

Light-fingeredLarry

FredCapone

EarlWyatt

FrannieFingers

EmmaGetaway

ShiftyKeys

BettyBalaclava

RonBiggs

BusterJones

LukeMoran

DanCuffme

CarlaWilliams

Known Crims

Male

Female

CLUE 6

Distinguishing Features

LL

NK

DK

BJ

MH

SMEK

PJ

FCMCRB

SK

CW

FF

BB

EW

LM

HC

DC

EG BT

Facial Hair

GlassesTa�oos

More clues on page 26.

You should know whothe criminal is by now!

Use the following data to find out more about them.


Data Representation

SERIES TOPIC

26 F 55

Whodunnit? solve

What to do next

CLUE 7

CLUE 8

CreateaWANTEDposterfortheguiltyparty.

SM DC BB EK EW FF MH DK FC CW BJ PJ HC

BT LL RB MC NK LM SK EG

black blonde brown red

Hair Colour

Height of Known Criminals

CW PJ

BJ EG NK LM

FF FC RB MC HC

EK MH DC EW DK

SM BB BT SK LL

150-159cm 160-169cm 170-179cm 180-189cm 190-199cm

Height

Whodunnit?Giveanameandadetaileddescriptiontothepolicesuperintendent:

Betty Balaclava

Date of birth: 13.05.84

Tattoos

Blonde hair

160 – 169 cm tall

Answers will vary.


Data Representation

SERIES TOPIC

27F 55

What to do

LookatthegraphsbelowandcomeupwithsomebelievableinformationthatwouldgiveeachgraphmeaningandkeeptheBoardhappy.Thinkaboutwhichgraphwouldbestsuiteachsetofdata.They’llneedtitles,labelsandnumbers.

Getting ready

Data disaster create

YouworkforthechocolatecompanyCocoaDelights.Inlessthananhour,you’representingtheannualreporttotheBoard.

They’rekeentoknowyearlysalesfigures,bestsellinglines, thebreakdownofmonthlyexpensesandhoweachproduct sellscomparedtotheothers.

Yourteamhasslavedtopreparethefollowingdata.However,someonedidn’tbothertoaddtitlesandlabelstothegraphs.

Youdon’thavetimetohunttheculprit.Youhavetofixthisyourself.Fast!

1

0

2

3

4

5

6

7

J F M A M J J A S O N D

Answers will vary.


Data Representation

SERIES TOPIC

28 F 55

What to do

Hello, holidays! solve

Fourtimesasmanykidswouldrathergotothebeachthangoto anartgallery.

AholidayatWet‘n’Wildisthemostpreferredoption.

Thereare3timesasmanyshoppersthanthereareartgalleryattenders.

FivefewerpeoplelikecampingthanWet‘n’Wild.

Halfthenumberofpeoplewholikecampingprefertovisitartgalleries.

PoorMrNwillbebushwalkingaloneitseems.He’llprobablygetoverit.

Followthecluestocorrectlylabeleachcolumnwiththeappropriatesymbol:

5N’s Preferred Holiday Activities

10

9

8

7

6

5

4

3

2

1

0

Documents

Types of graphs 1 – picture graphs - 3P Learning · The same information can be represented in different graphs. a Design a column graph to represent the data shown in this picture