Science test results

Science test results

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about completing a stem-and-leaf graph.

The scores of 28 students in a science test were:

2, 3, 6, 7, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 16, 17, 19, 21, 22, 22, 24, 25, 26, 27, 27, 28 

a) In the box below, draw a stem and leaf graph to show these results. 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
b)		  
What is the most common score? __________
 
c) How many children scored from 10 to 19? __________
 
d) Subtract the lowest score from the highest score. The answer is __________
 
e) The spread of scores from the highest to lowest is called the __________
Task administration: 
This task is completed with pencil and paper only.
 
Levels:
3, 4
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
stem-and-leaf graphs, graph construction, graph interpretation, range, mode
Description of task: 
Students complete a stem and leaf graph about students' test scores and answer questions on mode, spread and range.
Curriculum Links: 
This resource can be used to help to identify students' ability to construct and interpret a stem-and-leaf graph.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 4
Statistical investigations, set 5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y6 (09/1997)
a) difficult
b) 13 easy
c) 13 difficult
d) 26 very easy
e) Range very difficult
Diagnostic and formative information: 
  Common errors Likely reason
b) 28 Confuse maximum and mode (most common).
c) 10
 
11		 Calculate number between 11-18 (interpret "from" as excluding 10
and 19).
Calculate number from 11-19 (exclude 10).
e) Average Don't know "range"