©TeeJay Publishers 2007 page 43 Graphs, Charts & Tables

1. The bar graph shows the number of patientswho visited Dr Munro last week, during the days which the surgery was open.

a How many patients did Dr Munro see on :-

(i) Tuesday (ii) Thursday ?

b How many patients did he see in total that week ?

c Which day is his day off ? Explain.

d How many more patients did he see on Friday than on Monday ?

e His surgery was busy on Monday and Friday. Suggest a reason for this.

2. The line graph shows the daily temperatures taken in an office at 4 pm each day.

a What was the 4 pm temperature on :–

(i) Monday (ii) Saturday ?

b One day was particularly hot in the office.

Which day do you think this was ?

c Suggest a reason for the large drop in temperature from Friday to Saturday.

d (i) On what day was the lowest recorded temperature ?

(ii) Why do you think this day had the lowest temperature ?

3. Construct a line graph similar to Qu. 2 for the daily temperatures recorded in another office at 5 pm each day.

The temperatures are shown in the table.

Chapter 12Graphs Charts

TablesExercise 12.1

3G p.133 Q4up in 2’s

Days of Opening

No

Pati

ents

Visit Dr Munro

10

20

30

Mon Tues Wed Thu Fri

80

70

60

50

40

Mon

Time

Tem

pera

ture

(°F)

• •• •

•

Office Temperature

Tue Wed Thu Fri Sat Sun

• •

Mon Tues Wed Thurs Fri Sat Sun

40° 60° 75° 70° 65° 50° 40°

©TeeJay Publishers 2007 page 44 Graphs, Charts & Tables

1. The pie chart shows how many ladies and gents took part in a tennis tournament last Saturday.The chart is divided into 20 equal sectors.

a What fraction does each sector stand for ?

b What % does each sector represent ?

c What fraction of the tennis players were ladies ?

d What fraction were men ?

60 people in total played in the tournament.

e How many ladies and how many gents were there ?

2. 240 fifth year pupils were asked what their favourite meat dish was.

The results are shown in the pie chart.

a How many pupils chose Pork Chops ?

b How many pupils chose Steak ?

c How many pupils did not like any of these types of meat ?

Exercise 12.2

Gents

Ladies •

Tennis Tournament

3. A plant mail order company recorded the number of complaints reported to them :–

• 50% of plants had withered on transit

• 27% had been eaten by bugs

• 14% had gone missing in the post

• the rest had broken stems.

a What percentage had broken stems ?

b Write down which sector represents which category of complaint.

1000 complaints were made by customers altogether.

How many of them complained about :–

c withered plants ?

d plants gone missing in the post ?

e broken stems ?

.D

A

B

C

Pork Chops

SteakMince

None

•

©TeeJay Publishers 2007 page 45 Graphs, Charts & Tables

Exercise 12.3

1. A survey asked 1800 men to state their favourite type of after shave.

The results are represented in the pie chart.

a How many men chose “Bruno” ?

b How many men chose “For Men” ?

c How many degrees does “Black Adder” represent ?

d How many of the 1800 men chose “Black Adder” ?

2. In a survey, 540 boys were asked which internationalfootball strip they would like to own.The results are shown in the pie chart.

a From the pie chart, calculate how many of the 540 liked :–

(i) Eire (ii) Argentina.

b How many more boys preferred the Hollandstrip to the German one ?

1. The ages of people waiting in a cinema queue are shown in the stem & leaf diagram.

a How many people in the queue are in their :-

(i) thirties (ii) forties ?

b What age is the youngest person ?

c What is the difference in ages between the youngest and oldest person (range).

d Which age appears most often (mode).

e How many people are in the queue ?

f Why is the line “ 2 ... “ empty ?

2. This stem and leaf diagram shows the number of minutes it took for a TV company to answer calls of complaints.

a Write a suitable key for this diagram.

b How many phone calls were made ?

c Write down the mode (most frequent).

.60° 140°Bruno

For Men

Black Adder

. 80°150°

Holland

Argentina

Germany110°

20°

Eire

Exercise 12.4

Key :– 3 4 means 34

Age in years

1 2 2 4 8 9

2

3 0 1 1 4 5 9

4 1 6 6 6 7

5 0 3 3 8

Answer Times

1 0 0 1 6 7

2 4 4 7 9

3 0 1 1 1 1 3

4 0 2

©TeeJay Publishers 2007 page 46 Graphs, Charts & Tables

3. The marks (out of 60) for an English essay are recorded and shown below.

Construct an ordered stem and leaf diagram using this information.

4. This back-to-back stem and leaf diagram shows the ages of new members of a bowling club and a golf club.

a Write down the ages of the :–

(i) youngest bowler (ii) youngest golfer

(iii) oldest bowler (iv) oldest golfer.

b How many new members are :–

(i) golfers (ii) bowlers

(iii) golfers under 30 (iv) bowlers over 40 ?

c Find the modal age of :–

(i) the bowlers (ii) the golfers.

5. The table below shows the ages of men and women who are employed in Yates’ Car Showroom in Troon.

Men 24 40 52 34 38 27 21 25 23 37

Women 22 30 54 51 43 48 30 37 19 20

Construct an ordered back-to-back stem and leaf diagram using this information.

13 18 47 47 36 10 4

17 28 30 45 48 12 51

20 32 47 12 26 39 47

Bowls Golf

1 1 2 2 3 4

9 8 8 7 2 0 0 0 2 5 8

8 7 6 4 1 3 1 4 4 7

9 7 7 7 7 4 0 3 5 5

9 5 0 5 0 0 2

Ages

©TeeJay Publishers 2007 page 47 Graphs, Charts & Tables

Exercise 12.5

1. Write down what each set of tally marks represents :-

a |||| ||| b |||| |||| ||||

c |||| |||| |||| || d |||| |||| |||| |||| |||| |

2. A survey was carried out in a maternity hospital on the names of new born boys.

Here are the names of all the boys born last week in that hospital :-

a Copy and complete the frequency table.

b What was the most popular boy’s name ?

c How many more Craig’s than Jamie’s ?

d How many boys in total were born last week ?

e Construct a bar graph from your table.

David Craig Ben JackCraig Jack Jack CraigJamie Jamie David JackJack Craig Craig CraigCraig Jack Jamie JamieJamie Ben Jack JackJack Craig Jack David

Name Tally Frequency

Craig David

Exercise 12.6

1. The scattergraph below shows the ages and weights of several children.

a Write the name of the child who is the :–

(i) youngest (ii) lightest

(iii) heaviest (iv) oldest.

b Write down the name of each child giving their age and weight.

c The smallest child is lighter but older than Mo.

Who is the smallest ? 10

20

30

4 8 12Age (years)

Weigh

t (k

g)

•Abe•

•• •

••

Children's age/weight

•Mo Pat

Bob

Jill Sid

Ben

Ann

©TeeJay Publishers 2007 page 48 Graphs, Charts & Tables

2. Six children have their weights and heights measured and recorded.

• Pete is 140 cm tall and weighs 50 kg.

• Quen is 150 cm tall and weighs 50 kg.

• Rita is 160 cm tall and weighs 40 kg.

• Steve weighs 25 kg and is 160 cm tall.

• Tam weighs 30 kg and is 130 cm tall.

• Una is 135 cm tall and weighs 35 kg.

a Copy the scattergraph.

b Complete the scattergraph using the height and weight information above.

120

140

160

20 40 60Weight (kg)

Heigh

t (c

m)

P•

Heights and Weights

0

Exercise 12.7

1. Write down if you think there is some form of correlation between the pairs of data given in each of these questions. (Write Yes or No).

a The sales of ice cream and the amount of sunshine.

b The sales of “Wellies” and the amount of rainfall.

c The height of a person and how much money he/she earns.

d The price of an antique vase and its age.

e The number of pencils in your pencil case and the number of sharpeners you have.

2. A bicycle salesman constructsa scattergraph comparingthe cost of a BMP racerwith how old the bike is.

a Copy the scattergraph and draw a line of best fit through the data.

b Use this line to estimate :–

(i) the cost of a 4 year old BMP Racer.

(ii) the age of a BMP costing £100.

Copy

Age (in years)

Cost

(in

£’s)

1 2 3 4

40

80

120

BMP Racing Bikes

0

160

5

xx

x xx

xx

x

xx

200

Copy

©TeeJay Publishers 2007 page 49 Graphs, Charts & Tables

Revision Exercise

1. The bar graph shows the favourite flavour of crisps named by pupils in a primary school.

a How many primary pupils picked :–

(i) Beef (ii) Plain (iii) Prawn (iv) Chilli ?

b How many more pupils chose Plain than Cheese ?

c How many pupils took part in this survey ?

2. A hospital patient’s temperaturewas taken every hour andrecorded on the line graph.

a What was the patient’s :–

(i) lowest temperature ?

(ii) highest temperature ?

b By how many degrees did it rise between 9 am and 10 am ?

c State the patient’s temperature at :–

(i) 8 am (ii) noon (iii) 2 pm.

3. 800 people were asked what their favourite fish dish was.

The results are shown in the (fish) pie chart.

a How many people chose Prawns ?

b How many people chose Cod ?

c How many people chose Haddock ?

d How many people chose Lobster ?

e How many fewer people chose Cod than Prawns ?

10 20 30 40

Beef

Cheese

Plain

Prawn

Chilli

Crisps

Favourite Crisps

102

101

100

99

98

7 am 9 am 11 am 1 pmTime

Tem

pera

ture

(°F)

• ••

•••••

Patient Temperature

.PrawnsHaddock

Cod

Lobster

©TeeJay Publishers 2007 page 50 Graphs, Charts & Tables

4. The marks for a Maths exam (marked out of 60) are given below.

Construct an ordered stem and leaf diagram to represent the information.

5. Iain opened and counted the number of Toffos in 28 bags.

a Organise this data into a frequency table.

b Construct a bar graph from your table.

c How many packets contained more than 23 Toffos ?

6. Class 4GH was given a Geography and a History test and awarded marks out of 100.

The marks (to the nearest ten) are given in the tables opposite.

a Copy and complete the scattergraphbelow to show this information.

b Draw a line of best fit on your diagram.

c Estimate the History mark for Mabel who scored 60 in her Geography test.

19 7 24 17 45 53 2

18 25 42 46 42 58 6

19 24 28 34 39 38 21

26 22 44 39 45 50 12

20 19 26 19 25 25 19

21 24 25 22 21 22 26

22 22 22 20 25 26 26

26 23 26 26 23 23 20

Name Geog Hist

Ann 10 20Bet 10 30Cloe 20 50Don 30 40Ed 50 40

Name Geog Hist

Fran 50 70Geoff 70 60Henry 70 80Ina 90 60Joan 90 80

Geography

His

tory

10 20 30 40 50 60 70

10

2030

40

5060

70

Geography – History Marks

00

80

90100

80 90 100

Copy