Types of graphs 1 – picture graphs - 3P...
Transcript of Types of graphs 1 – picture graphs - 3P...
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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
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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?
Types of graphs 1 – picture graphs
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
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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?
Types of graphs 1 – picture graphs
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
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Data Representation
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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
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Data Representation
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5F 11
b Whataresomekeyissuesonthegraphyou’dpointout?Workinasmallteamtocomeupwith asolution.Pretendyourteacheroranothergroupistheprincipalandpresentyourcase.
Types of graphs 1 – column graphs
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
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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.
Types of graphs 1 – column graphs
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
Select and label an appropriate scale
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.
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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.
Category Amount Fraction
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
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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:
Category Amount Fraction
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.
Types of graphs 2 – pie charts
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
Category Amount Fraction
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
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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:
Types of graphs 2 – pie charts
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.
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Data Representation
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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
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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
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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
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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
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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.
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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.
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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.
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Data Representation
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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
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Data Representation
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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
Select and label an appropriate scale
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
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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
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20 F 44
Here is a graph showing the temperature in London:
a Calculatethemeantemperature fortheweek:
b IfyouweretravellingtoLondon fortheweek,whatclotheswould youpack?
Collecting and analysing data – mean
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.
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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?
Collecting and analysing data – mean
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
Copyright © 3P Learning
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
Copyright © 3P Learning
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
Copyright © 3P Learning
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.
Copyright © 3P Learning
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.
Copyright © 3P Learning
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.
Copyright © 3P Learning
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.
Copyright © 3P Learning
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