Assignment marks

Assignment marks

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students

 
Above is a list of all the students in Mr Gold's statistics class, and the marks they got for their first assignment.

Complete the back-to-back stem-and-leaf graph below of the marks listed.
 

 

Statistics Assignment Marks (%)

Males               

 

               Females

6
 
7
 
8
 
9

Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
composite graphs, stem-and-leaf graphs, graph construction, bi-variate data
Description of task: 
Students construct a back-to-back stem-and-leaf graph by gender, of marks students got for a statistics assignment.
Curriculum Links: 
This resource can be used to help to identify students' ability to construct a back-to-back stem-and-leaf graph.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

  

Y8 (11/2002)

2 marks
or
 
1 mark*
 
 
1 mark*
 
 
1 mark
1 mark

 
  • All leaves recorded correctly (see below).
    NOTE: Accept if the order in each of the leaves is different from that recorded below.
  • 1-2 errors made in recording (missing digit(s) or, extra digit recorded, or students have transcribed names instead of digits (see below).
  • All leaves transcribed in ascending (or descending) order (consistently for both males and females) from each stem outwards (as shown below).
  • Reasonable accurate vertical alignment of leaves.
  • Students transcribed data as single digits.

Males           

                  Females
         

3   1   0   
 
3   1   1   
 
7   6   4   
 
1   

 6 
 
 7 
 
 8 
 
 9 

   0   9
 
   4   4   4   6
 
   5   6   6
 
   1   3   6

moderate
 
 
easy
 
 
moderate
 
 
difficult
easy
 
*NOTE: If students have transcribed names instead of digits, the marks with asterisks(*) can still be allocated, if their graph, looks like the following:
Young, Tua, Ferrari
Newburg*, Dodd*, Lindsay
Simpson, St George, Gilbert
Drew

6
7
8
9

 Chave, Elder
Bennett^, Wooliscroft^, Wilkie, Stevenson,
Chave, Darling#, Dale#
Thompson, McKenzie, Harrex
 
* order here interchangeable
^ order here interchangeable
# order here interchangeable
 
Diagnostic and formative information: 
Common error
Commas were put between numerical leaves (whether single or double digits transcribed), 35%.
Students transcribed data as double digits instead of single - 6%.
Students transcribed data as names instead of digits - 8%.