Netball tests

Netball tests

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using survey data to estimate the probability of the next person's answer.


 

New Zealand are going to play Australia in a game of netball. Three students decide to ask people going to the game who they think will win.
Each student chooses who they will ask at random.
  • Chloe asks 100 people and 63 say New Zealand will win.
  • Moana asks 200 people and 119 say New Zealand will win.
  • Olivia asks 50 people and 29 say New Zealand will win.
a)
Each student uses their results to estimate the probability that the next person they ask will say that New Zealand will win.
Write each estimate as a fraction or a decimal.
 
 
i)
 
ii)
 
iii)
Chloe's estimate is __________
 
Moana's estimate is __________
 
Olivia's estimate is __________
 
b) i) Which student should have the best estimate of the proportion of people who say New Zealand will win?
  
(A) Chloe.
(B) Moana.
(C) Olivia.
(D) All three students' estimates are just as good as each others.
 
  ii)
Explain your answer to b) i)
 
 
 
 
 
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Statistics, Probability
Key Competencies: 
Using language, symbols, and texts
Keywords: 
probability, long-run relative frequency, sampling
Description of task: 
Students use survey data about sports results to estimate the probability of the next person's answer.
Curriculum Links: 
Key competencies
This resource involves communicating the best sample size to use, which relates to the Key Competencies: Thinking, and Using language, symbols and text.

For more information see http://nzcurriculum.tki.org.nz/Key-competencies

Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, set 5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

  

Y10 (06/2000)

2 marks
(for all 3 correct)
or
1 mark
(for 2 correct) 

a) 

i) 
 
ii)
 
iii)
0.63 or or equivalent fraction
0.595 or or equivalent fraction
0.58 or or equivalent fraction

2 correct -
moderate
 
1 correct -
moderate

1 mark
(for both correct)

b)

i)
ii)

Natalie
Because she asks the most people.

 difficult
Diagnostic and formative information: 
  Common Error
b) Chloe – because her estimate is the highest (highest result for New Zealand).