Exam results

Exam results

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

Examination Results in Mathematics and Science

 

This box-and-whisker plot shows the results of a class of 32 students who sat end-of-year examinations in mathematics and science.

 

a)
How many students scored 38 percent or below in science? __________
 
 b)
 i) 
 
ii)
 Which subject has the higher median mark? __________ 
 
By how much higher is it? __________
 
 c)
 
 What is the range of marks for mathematics? __________
 
 d)  What fraction of the class scored 50 percent or more in science? __________
Task administration: 
This task is completed with pencil and paper only. 
Level:
5
Curriculum info: 
Maths, Statistics, Statistical literacy
Keywords: 
box-and-whisker graphs, graph interpretation, median, range
Description of task: 
Students study a box-and-whisker graph of examination results for Maths and Science, and answer questions on comparison, median, range and proportion.
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 (07/1998)
a)   0 moderate
b)
i)
ii)
Science
7 marks  [Accept 6-8 marks]
 easy
c)   55 or 40-95 easy
d)   3/4 difficult

 

 

Diagnostic and formative information: 
   Common error Likely reason
b) ii) 12, 16, or 17 Miscalculates by 5 or 10 – scale reading error.
c) 1 Reads bottom of whisker as 38.