Community Fundraising

Community Fundraising

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task asks questions about a box-and-whisker graph.

Below is a box-and-whisker plot showing the annual fundraising amounts for 40 community charities:

 

Community fundraising


 

a) What does the bold line marked just above $40,000 indicate? ____________________

b)
What number of charities fundraise between $32,000 and $58,000? __________

c)
What proportion of charities fundraise less than $32,000? __________
Task administration: 
This task is completed with pencil and paper only.
 
Level:
5
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
box-and-whisker graphs, graph interpretation, data measures, quartiles
Description of task: 
Students study a box-and-whisker graph of community fundraising, and answer questions interpreting the data.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (10/1998)
a) Median  [Accept 50th percentile or 50%, Note: average or mean are not correct.] moderate
b) 20  [Accept half or 50%] difficult
c) 0.25 or 25% or 1/4  [Accept 10] difficult
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a) Mean or Average   Confuses mean & median.
b) 26 58-32  

 

Next steps: 
Extension:
What is the highest amount fundarised? 
Answer: 118,000 (Accept 114,000 to 119,000)