www.3to11maths.com

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

2. www.3to11maths.com <date> 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. TRAINING We will use this information to work out the mean, mode, median and range.

4. www.3to11maths.com 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.

5. www.3to11maths.com 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.

6. www.3to11maths.com 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 20; 22; 27; 27; 29; 29; 31; 31 The median age would be 28 because it is mid way between 27 and 29 years old.

7. www.3to11maths.com 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.

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

9. EXTRA TIME 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? www.3to11maths.com

10. 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 www.3to11maths.com Work Card 1 Solutions

11. What is the mean, mode, median and range ages of these England midfielders and attackers. 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 www.3to11maths.com Work Card 2 solutions

12. What is the mean, mode, median and range ages of the England squad. The mean is; 595 ÷ 23 = 25.9 years to 1dp 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. The range is 32 – 18 = 14 years www.3to11maths.com Work Card 3 solutions

13. Number of appearances What is the mean, mode, median and range number of caps of the England squad. The mean is; 620 ÷ 23 = 27 caps to 1dp 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 The range is 94 – 0 = 94 caps Work Card 4 Solutions www.3to11maths.com

14. What is the mean, mode, median and range heights of the England squad? The mean is; 41.9 ÷ 23 = 1.82m to 2dp 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 range is 1.96 – 1.70 = 0.26m or 26cm www.3to11maths.com Work Card 5 Solutions

15. PENALITIES (All work must be put away tidily) • 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? Joe Hart Ashley Cole Alex Oxlade- Chamberlain 5) Which player has not played a game yet for England? 4) What is the average age of the England squad? 25.9 years Jack Butland www.3to11maths.com