Student armspan

Student armspan

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

The students in Room 2 measured their armspan in centimetres.

Here are their results.

Height of Students in Room 2

 

a)
How many students are in Room 2? __________
 
b)
Which of these intervals has the most students in it?
 
  (A)
(B)
(C)
(D) 		 120-129 cm
130-139 cm
140-149 cm
150-159 cm
 
c)
The students stood in a line from the smallest armspan to the biggest armspan.
 
 
i)
 
ii)
What is the armspan of the person standing 5th in the line? __________ cm
 
What is the armspan of the person standing in the middle of the line? __________ cm
Task administration: 
This task is completed with pencil and paper only.
Level:
3
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
stem-and-leaf graphs, graph interpretation, median
Description of task: 
Students are asked to study a stem-and-leaf graph on armspan of students and answer questions interpreting the data.
Curriculum Links: 
This resource can be used to help to identify students' ability to interpret a stem-and-leaf graph.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Statistical investigations, set 4
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (12/1998)
a)   15 moderate
b)   C moderate
c) i)
ii)		 132
141		 difficult
very difficult
Diagnostic and formative information: 
  Common errors Likely calculation Likely reason
a) 72 9 + 7 + 8 + 0 +.....+ 3 + 1 Adds up the leaves
c) i)
    ii)		 13
14		   Gives stem of true answer 132
Gives stem of true answer 141