Pulse rate II

Pulse rate II

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

Practical Task
The students in Room 4 at Hill Street School took their pulse rates for 1 minute.

a)
Your teacher will read out the pulse rate of each student.
You are to display this data as you hear it onto the stem-and-leaf graph below.
The stem of the graph has been done for you.  
 

4

5

6

7

8

9
b)
Now complete the stem-and-leaf graph below by ordering the numbers in each of the 'leaves' from part a).
Make your graph as neat as possible.
 

4

5

6

7

8

9
c) What is the most common pulse rate? __________
Task administration: 

This task is completed with pencil and paper, and other equipment.

[Equipment: Student worksheet, data.]

Students need to record 26 numbers onto a stem-and-leaf graph in the order that the data is read out. They then need to re-order each of the leaves onto a second graph.
 
Teacher Reads:
The students in Room 4 at Hill Street School took their pulse rates (the pulse rate is the number of times their heart beats for 1 minute). I am going to read out the pulse rate of each student. You are to display this data as you hear it on to the stem-and-leaf graph in part a). The stem of the graph has been done for you. I will read each number twice and pause to give you time to record your answer.
 
Read out:   

78 67 65 59 82 65 68 71 78 70 72 62 73
92 65 64 58 74 72 69 71 74 83 80 70 79

   
When trialled we read the numbers out using the following structure: "The first number is 78 (3-5 second pause), 78 (3-5 second pause). The next number is 67 (3-5 second pause), 67 (3-5 second pause). "The next number is…", and so on.

Level:
3
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
stem-and-leaf graphs, graph construction, mode
Description of task: 
This practical task requires students to record data, which is read out to them, on a stem-and-leaf graph. The leaves are then ordered into a second graph and the graph interpreted.
Curriculum Links: 
This resource can be used to help to identify students' ability to construct and interpret graphs.
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: 
 
a)
Numbers recorded as single digits in the leaves.
All leaves recorded in the order shown below.
 

4
5
6
7
8
9

  
9 8
7 5 5 8 2 5 4 9
8 1 8 0 2 3 4 2 1 4 0 9
2 3 0
2
 
1-2 errors made in recording.
 
3-4 errors made in recording.
NOTE: An error includes: missing digit/s, or extra digit/s recorded.
b)
All leaves from answer in a) recorded and in numerical order.
NOTE: Accept errors if the numbers on this graph are the same as those used for the graph drawn in a) but are still ordered correctly.
 

4
5
6
7
8
9

  
8 9
2 4 5 5 5 7 8 9
0 0 1 1 2 2 3 4 4 8 8 9
0 2 3
2
 
Numbers are vertically aligned neatly.
c) 65 (or answer consistent with graph drawn in either a) or b))