School tests results

School tests results

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about identifying the mean, median, mode and range, and range.

Ben recorded his friends' results in the end-of-term tests as percentages.

  End of term test results
   Spelling Maths English Soc. Studies Science Health
Ben 90% 100% 80% 93% 91% 89%
Alex 100% 75% 80% 78% 94% 96%
Jo 69% 52% 90% 70% 83% 86%
Hiria 90% 100% 95% 85% 94% 100%
Tama 80% 85% 83% 85% 83% 96%
Rachel 75% 62% 70% 75% 53% 85%
 
a)		  
What is the mean percentage for English? __________%
 
b)		  
What is the mode for Health? __________%
 
c)		  
What is the median percentage for Maths? __________%
 
d)		  
What was Hone's mean percentage for the 6 results? __________%
 
e)		  
What is the subject with the greatest range? _______________
Task administration: 
This task is completed with pencil and paper only.
Levels:
4, 5
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
data tables, table interpretation, mean, median, mode, range, data measures
Description of task: 
Students study a table of test results percentages for a range of subjects. Students answer questions involving mean, median, mode and range.
Curriculum Links: 
This resource can be used to help to identify students' ability to interpret a table of data, including measures of centrality and spread.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 5
Statistical investigations, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y7 (10/1996)

Y8 (10/1996)
a) 83% difficult moderate
b) 96% difficult difficult
c) 80% very difficult difficult
d) 85.3% [accept 85%] very difficult difficult
e) Maths moderate moderate
Diagnostic and formative information: 
   

Common errors

Likely misconception

a)-d)

   

Confuses mean, median, mode, maximum, minimum, or total percentage.

c)

75, 85, 75-85

Has approximate understanding of median.