Playground survey

Playground survey

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about finding an unbiased sample for a survey.
childrens playground
 
The Opoho City Council wants to find out what the people in their city think about building a new children's playground.
Because Opoho is a large city, the council wants to give their questionnaire to only a sample of people who live in the city. They want their sample to be a representative one. This means they want the people in their sample to fairly represent all of the people in the city of Opoho.

Question 1Change answer

Write down two ways the Council could select people for their sample to make sure it is representative of all the people who live in the city.
1. 2.
Task administration: 
This task can be completed with pen and paper or online.
Copyright: 
childrens playground
S. Weinsheimer, publicdomainpictures.net | public domain
Level:
4
Curriculum info: 
Maths, Statistics, Statistical investigations
Key Competencies: 
Using language, symbols, and texts
Keywords: 
sampling, surveys, bias
Description of task: 
A council survey is to be sent out, and students are asked to give examples of representative samples.
Curriculum Links: 
Key competencies
This resource involves writing unbiased questions for a survey. This relates to the Key Competency: Using language, symbols and text.
For more information see https://nzcurriculum.tki.org.nz/Key-competencies
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y8 (11/2002)
Examples of unbiased sample given, e.g.,

  • selection from the electoral roll.
  • every 10th mailbox on every street.
  • every 2nd person in the phone book.
  • variety of ages.
  • from different areas.
  • other acceptable samples.
2 correct - difficult

1 correct - moderate
Diagnostic and formative information: 

Common errors

Mentioning of specific groups to sample. For example, people with children, taxpayers, people near the playground, and so on. Asking all people in the town, that is, a census is taken. Taking a self-selected sample.