Birth dates

Birth dates

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources

20   5   1   16   3   5   14   4

17   8   24   6   31   18   17   7

14   29   18   30   27   12   8   15

25   21

Tara recorded the day of the month on which each student in Room 5 was born.

Her results are shown in the box above.

 
a)
Complete the stem-and-leaf graph below using Tara's data.
Do not put the 'leaves' in order, but record them in the order that they appear.
     
Birth Days of Room 5 Students

0  
 

 
b) Now complete the stem-and-leaf graph below by ordering the numbers in each of the 'leaves' from part a).
   

Birth Days of Room 5 Students

0  
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
stem-and-leaf graphs, graph construction
Description of task: 
Students present data on birth dates in a stem-and-leaf graph. The data is then ordered into a second graph.
Curriculum Links: 
This resource can be used to help to identify students' ability to construct and re-order a 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 (11/2001)  
1 mark
2 marks
or

1 mark

 a) 1, 2, and 3 recorded in stem.
NOTE: Give this mark if recorded in either a) or b).
All leaves recorded.
NOTE: The order may differ from that recorded
below.

0
1
2
3		 5 1 3 5 4 8 6 7 8
6 4 7 8 7 4 8 2 5
0 4 9 7 5 1
1 0

1-2 errors made in recording (missing digit/s or, extra digit recorded. Treat as one error if leaves are presented in 2-digit format).

 moderate
difficult

moderate
1 mark b) All leaves 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.

0
1
2
3		 1 3 4 5 5 6 7 8 8
2 4 4 5 6 7 7 8 8
0 1 4 5 7 9
0 1
moderate