www.3to11maths.com handling data by chris clements euro 2012
TRANSCRIPT
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Handling Data
By Chris Clements
Euro 2012
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LO: To use the mean, mode, median and range.
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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
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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
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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
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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
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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
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Complete the task cards; finding
the mean, mode, median and range
for each.
Task:
KICK OFF
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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
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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
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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.
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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
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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
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(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