1. www.3to11maths.com Handling Data By Chris Clements Euro 2012

2. www.3to11maths.com LO: To use the mean, mode, median and range.

3. 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 out the mean, mode, median and range. TRAINING

4. 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 = 216 Now, because there are 8 defenders we must divide; 216÷8 =27 27 years old is the mean age of the England defenders. Martin Kelly 22

5. 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

6. 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

7. 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

8. www.3to11maths.com Complete the task cards; finding the mean, mode, median and range for each. Task: KICK OFF

9. 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

10. www.3to11maths.com Theo Walcott 23 Steve Gerrard 32 Scott Parker 31 James Milner 26 Wayne Rooney 26 Danny Welbeck 21 Ashley Young 26 Andy Carroll 23 Jordan Henderson 21 Stewart Downing 27 Alex Oxlade- Chamberlain 18 Jermain Defoe 29 Work Card 1 Solutions What is the mean, mode, median and range ages of these 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

11. www.3to11maths.comWork Card 2 solutions What is the mean, mode, median and range ages of these 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 Butland 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

12. www.3to11maths.com Theo Walcott 23 Steve Gerrard 32 Scott Parker 31 James Milner 26 Wayne Rooney 26 Danny Welbeck 21 Ashley Young 26 Andy Carroll 23 Jordan Henderson 21 Stewart Downing 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 Butland 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.

13. www.3to11maths.com Theo Walcott 24 Steve Gerrard 92 Scott Parker 13 James Milner 26 Wayne Rooney 74 Danny Welbeck 5 Ashley Young 21 Andy Carroll 4 Jordan Henderson 3 Stewart Downing 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 Butland 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

14. www.3to11maths.com Theo Walcott 1.75m Steve Gerrard 1.83m Scott Parker 1.75m James Milner 1.76m Wayne Rooney 1.76m Danny Welbeck 1.85m Ashley Young 1.75m Andy Carroll 1.91m Jordan Henderson 1.82m Stewart Downing 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 Butland 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

15. 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 caps For England? 4) What is the average age of the England squad? 5) Which player has not played a game yet for England? Alex Oxlade- Chamberlain Joe HartAshley Cole 25.9 years Jack Butland