Cross country race

Cross country race

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about reading information from raw data.

These numbers show how many minutes it took each student to run the school cross-country.
   

53   50   52   38   30

37   36   55   35   40

41   52   36   37   49

50   57   37   59   36


a)

 
Of the students that ran the cross-country, what was

 
 
i)  the fastest time? __________ minutes
 
ii)  the slowest time? __________ minutes
 
iii) the average time? __________ minutes

 

 

All             Most              Some           None

 
b)

  
Choose one word from the box above to complete each sentence about the cross-country.

 
i)   ________________ of the students took more than an hour to run the race.

 

ii)  ________________ of the students took between 35 and 55 minutes to run the race.

 

iii) ________________ of the students took less than 40 minutes to run the race.
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Statistical investigations
Keywords: 
mean, data interpretation, distribution
Description of task: 
Students show their understanding of a table of time data by answering questions about features of the distribution.
Curriculum Links: 
This resource can be used to help to identify students' ability to interpret some data, including its mean, and its distribution.
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 (09/1999)

a)

i)
ii)
iii)

 30
59
44

very easy
very easy
moderate
b)

i)
ii)
iii)

None
Most
Some

 all correct - very easy
Diagnostic and formative information: 
   Common error Likely reason
a) iii) 36, 37 Gives mode rather than average.
a) iii) 40, 41, 40.5 Gives median rather than average.