Maths exam

Maths exam

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.

box and whisker graph of 6 classes

This box-and-whisker graph shows the results of a mathematics exam sat by six classes.

The marks are given as percentages. 

Which class has ...

 
a)
  
b)
 
c)
 
d)
 
e)
the student with the highest mark? __________
 
the highest median mark? __________
 
the biggest range of marks? __________
 
the smallest inter-quartile range? __________
 
a quarter of its students getting more than 70%? __________
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, range, median
Description of task: 
Students show their interpretation of a box-and-whisker graph by answering questions about 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: 
 

Y11 (03/2001)

a)

C [accept 95%]

easy

b)

D [accept 70%]

easy

c)

B [accept 75%]

easy

d)

E [accept 20%]

very difficult

e)

A

moderate
Diagnostic and formative information: 
  Common error Likely reason
a) D Lists the class with highest point of any box.
e) D Lists the class where half the students get more than 70%.
d) B Lists the class with the smallest median.