Summer births

Summer births

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about sampling.

Kahu, Ravi, and Anne each did a survey to find out the fraction of people who are born in summer.
 
a) What fraction of people were born in summer in each of these surveys?
 
 
i)
 
ii) 
 
iii) 
Kahu asked 10 people, and found that 3 were born in summer. __________
 
Ravi asked 100 people, and found that 29 were born in summer. __________  
 
Anne asked 1000 people, and found that 263 were born in summer. __________  
 
b)
i)
 
 
 
 
 
ii)
Which person's survey should give the best estimate of the fraction of people that are born in summer?
 
____________________
 

Why is this estimate the best? 

 
 
 
 
 
 
 
c) What fraction of all the people asked were born in summer? __________
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
probability, sampling
Description of task: 
Students show the number of people in a survey as a fraction and indicate their understanding of sampling.
Curriculum Links: 
Key competencies
This resource involves explaining which is the best sample size by using written communication, which relate to the Key competency: 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 (05/00)
a) i)
 
ii)
 
iii)

very easy
b)

i)
ii)

Anne
Because she asked the most people.

 moderate
c)     or  moderate