www.3to11maths.com

Handling Data

By Chris Clements

Euro 2012

www.3to11maths.com

LO: To use the mean, mode, median and range.

<date>

www.3to11maths.com

Here are the ages of the defenders selected to play for England, in Euro 2012.

Glen Johnson

27

Ashley Cole

31

John Terry

31

Martin Kelly

22

Joleon Lescott

29

Phil Jones

20

Phil Jagielka

29

Leighton

Baines

27

We will use this information to work outthe mean, mode, median and range.

TRAINING

www.3to11maths.com

Glen Johnson

27

Ashley Cole

31

John Terry

31

Joleon Lescott

29

Phil Jones

20

Phil Jagielka

29

Leighton

Baines

27

To find the mean age;

First add up all the ages;27 + 31 + 20 + 29 + 22 + 31 + 29 + 27 =216Now, because there are 8 defenders we must divide;

216 ÷ 8 = 2727 years old is the mean age of the England defenders.

Martin Kelly

22

www.3to11maths.com

Glen Johnson

27

Ashley Cole

31

John Terry

31

Joleon Lescott

29

Phil Jones

20

Phil Jagielka

29

Leighton

Baines

27

To find the mode age;

First order the defenders from youngest to oldest.20; 22; 27; 27; 29; 29; 31; 31

The mode age refers to the most popular age;

So the mode age is; 27, 29 and 31 because there are 2 players for each of these ages.

Martin Kelly

22

www.3to11maths.com

Glen Johnson

27

Ashley Cole

31

John Terry

31

Joleon Lescott

29

Phil Jones

20

Phil Jagielka

29

Leighton

Baines

27

To find the median age;

First order the defenders from youngest to oldest.20; 22; 27; 27; 29; 29; 31; 31

The median age refers to the middle age

The median age would be 28 because it is mid way between 27 and 29 years old.

20; 22; 27; 27; 29; 29; 31; 31

Martin Kelly

22

www.3to11maths.com

Glen Johnson

27

Ashley Cole

31

John Terry

31

Joleon Lescott

29

Phil Jones

20

Phil Jagielka

29

Leighton

Baines

27

To find the range of ages;

First order the defenders from youngest to oldest.20; 22; 27; 27; 29; 29; 31; 31

We get the range by finding the difference between the oldest and youngest defender.

31 – 20 = 11

The range of ages is 11 years.

Martin Kelly

22

www.3to11maths.com

Complete the task cards; finding

the mean, mode, median and range

for each.

Task:

KICK OFF

www.3to11maths.com

Let’s see how you got on!

Can you peer assess or self assess to see if you worked

out the mean, mode, median and range

correctly?

EXTRA TIME

www.3to11maths.com

Theo Walcott

23

Steve Gerrard

32

Scott Parker

31

James Milner

26

Wayne Roone

y

26

Danny Welbec

k

21

Ashley Young

26

Andy Carroll

23

Jordan Henderso

n

21

Stewart Downin

g

27

Alex Oxlade-

Chamberlain

18

Jermain Defoe

29

Work Card 1 Solutions

What is the mean, mode,median and range ages ofthese England midfielders

and attackers.

The mean is; 303 ÷ 12 = 25¼ years

The mode is; 18;21;21;23;23;26;26;26;27;29;31;32

The median is; 18;21;21;23;23;26;26;26;27;29;31;32

The range is 32 – 18 = 14 years

www.3to11maths.com Work Card 2 solutions

What is the mean, mode,median and range ages ofthese England midfielders

and attackers.

Glen Johnson

27

Ashley Cole

31

John Terry

31

Phil Jagielka

29

Leighton

Baines

27

Phil Jones

20

Joleon Lescott

29

Joe Hart

25

Robert

Green

32

Jack Butlan

d

19

The mean is; 292 ÷ 11 = 26.5 years to 1 decimal place

The mode is; 19;20;22;25;27;27;29;29;31;31;32

The median is; 19;20;22;25;27;27;29;29;31;31;32

The range is 32 – 19 = 13 years

Martin Kelly

22

www.3to11maths.com

Theo Walcott

23

Steve Gerrard

32

Scott Parker

31

James Milner

26

Wayne Roone

y

26

Danny Welbec

k

21

Ashley Young

26

Andy Carroll

23

Jordan Henderso

n

21

Stewart Downin

g

27

Alex Oxlade-

Chamberlain

18

Jermain Defoe

29

Work Card 3 solutions

What is the mean, mode,median and range ages of

the England squad.

Joe Hart

25

Glen Johnson

27

Ashley Cole

31

John Terry

31

Phil Jagielka

29

Leighton

Baines

27

Robert

Green

32

Phil Jones

20

Joleon Lescott

29

Jack Butlan

d

19

The mean is; 595 ÷ 23 = 25.9 years to 1dp

The range is 32 – 18 = 14 years

Martin Kelly

22

The mode is; 18;19;20;21;21;22;23;23;25;26;26;26;27;27;27;29;29;29;31;31;31;32;32.

The median is; 18;19;20;21;21;22;23;23;25;26;26;26;27;27;27;29;29;29;31;31;31;32;32.

www.3to11maths.com

Theo Walcott

24

Steve Gerrard

92

Scott Parker

13

James Milner

26

Wayne Roone

y

74

Danny Welbec

k

5

Ashley Young

21

Andy Carroll

4

Jordan Henderso

n

3

Stewart Downin

g

34

Alex Oxlade-

Chamberlain

2

Jermain Defoe

47

Work Card 4 Solutions

What is the mean, mode,median and range

number of caps of the England squad.

Joe Hart

18

Glen Johnson

36

Ashley Cole

94

John Terry

73

Phil Jagielka

12

Leighton

Baines

8

Robert

Green

12

Phil Jones

5

Joleon Lescott

16

Jack Butlan

d

0

Number of appearances

The mean is; 620 ÷ 23 = 27 caps to 1dp

The range is 94 – 0 = 94 caps

Martin Kelly

1

The mode is; 0;1;2;3;4;5;5;8;12;12;13;16;18;21;24;26;34;36;47;73;74;92;94

The median is; 0;1;2;3;4;5;5;8;12;12;13;16;18;21;24;26;34;36;47;73;74;92;94

www.3to11maths.com

Theo Walcott

1.75m

Steve Gerrard

1.83m

Scott Parker

1.75m

James Milner

1.76m

Wayne Roone

y

1.76m

Danny Welbec

k

1.85m

Ashley Young

1.75m

Andy Carroll

1.91m

Jordan Henderso

n

1.82m

Stewart Downin

g

1.80m

Alex Oxlade-

Chamberlain

1.80m

Jermain Defoe

1.70m

Work Card 5 Solutions

What is the mean, mode, median and range heights of the England squad?

Joe Hart

1.96m

Glen Johnson

1.82m

Ashley Cole

1.76m

John Terry

1.87m

Phil Jagielka

1.83m

Leighton

Baines

1.70m

Robert

Green

1.91m

Phil Jones

1.80m

Joleon Lescott

1.93m

Jack Butlan

d

1.93m

Martin Kelly

1.91m

The mode is; 1.70;1.70;1.75;1.75;1.75;1.76;1.76;1.76;1.80;1.80;1.80;1.82;1.82;1.83;1.83;1.85;1.87;1.91;1.91;1.91;1.93;1.93;1.96

The median is; 1.70;1.70;1.75;1.75;1.75;1.76;1.76;1.76;1.80;1.80;1.80;1.82;1.82;1.83;1.83;1.85;1.87;1.91;1.91;1.91;1.93;1.93;1.96

The mean is; 41.9 ÷ 23 = 1.82m to 2dp

The range is 1.96 – 1.70 = 0.26m or 26cm

PENALITIES

www.3to11maths.com

(All work must be put away tidily)

1) Who is the youngest

player in the England squad?

2) Who is the tallest player in the

England squad?

3) Who currently has the most capsFor England?

4) What is the average age of the England squad?

5) Which player hasnot played a game

yet for England?

Alex Oxlade- Chamberlain

Joe Hart Ashley Cole

25.9 yearsJack Butland