Travel time

Travel time

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about identifying correct statements about data on graphs.

Question

Time taken to get to school (in minutes) by students travelling from the North and South of the school

SL-graph-time.png

a)  The students at Ross School recorded how many minutes it took them to travel to school. They drew up a back-to-back stem-and-leaf graph. Some students made statements about the graph. 
     Select the statement that is true.

    • The longest time taken to get to school is 9 minutes.

    • Half the students take less than 30 minutes to get to school.

    • The range of times it takes to get to school is greater for students from the South than the North.

    • The shortest time taken to get to school is 1 minute.

    • Most students take less than 40 minutes to get to school.

Question

Most Common After-School Activities of Year 7 Students
b)  Cath drew a pie graph to show the most common after-school activities of Year 7 students at school.
     She wrote five statements about her graph. 
     Select the statement that is true. 

    • 25% of students go to sports practice.

    • More students go to sports practice than do homework.

    • The same number of students play on the computer as do chores.

    • The least number of students have a music lesson.

    • More than \(1 \over 4\) of the students do homework.

Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
4
Curriculum info: 
Maths, Statistics, Statistical literacy
Keywords: 
composite graphs, stem-and-leaf graphs, pie graphs, graph interpretation
Description of task: 
Students need to interpret data about travel time to school and common after-school activities and identify which statement is true from a list of given statements.
Curriculum Links: 
This resource can be used to help to identify students' ability to identify correct statements about a pie graph and 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 (11/2001)
a) Most students take less than 40 minutes to get to school (E) easy
b) The least number of students have a music lesson (D) very easy
Diagnostic and formative information: 
 

Common error

a)

The least number of students have a music lesson (A) - 10%

b)

More than 1⁄4 of the students do homework (E) - 14%