World Cup soccer

World Cup soccer

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about interpreting data from a table.


This table shows the number of goals scored per game for the first round of the 1998 World Soccer Cup.

  

Number of goals scored per game

0

1

2

3

4

5

6

7

8 or
more

Number of games

3

9

11

11

10

3

0

1

0
 
Work out the following from the table.
 
a)
In how many games were only 4 goals scored? __________
 
b)
How many games were played? __________
 
c)
How many goals were scored altogether? __________
 
d)
What was the average (mean) number of goals scored per game played? __________
 
e)
If 32 teams took part in the first round, what is the average (mean) number of goals scored by each team? 
 
__________
Task administration: 
This task is completed with pencil and paper only.
Levels:
4, 5
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
mean, table interpretation
Description of task: 
Students interpret information presented in a table, and calculate averages.
Curriculum Links: 
This resource can be used to help to identify students' ability to interpret a table of data, and to show an understanding of the mean (average).
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 5
Statistical investigations, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (08/1999)
a) 10 very easy
b) 48 very easy
c) 126 easy
d) 2.625 [accept 2.6 - 2.63 or answer to c) ÷ answer to b)] difficult
e) 3.9375 [accept 3.9 - 3.94 or answer to c) ÷ 32] difficult
Diagnostic and formative information: 
  Common error Likely reason
d) 3 or 2-3 Rounds mean to nearest whole number.
e) 4 or 3-4 Does not realise that a discrete variable can have a mean which is continuous.