Simon's copy of Discrete and continuous data

Error

There was an error loading the page.

Contributors

History

○

Simon Thomas 5 years, 11 months ago

Created this as a copy of Discrete and continuous data.

Name	Status	Author	Last Modified
Discrete and continuous data	Ready to use	Stanislav Duris	20/11/2019 14:37
Robert's copy of Discrete and continuous data	draft	Robert Aykroyd	25/10/2017 11:48
Robert's copy of Robert's copy of Discrete and continuous data	draft	Robert Aykroyd	25/10/2017 11:49
Discrete and continuous data	draft	Robert Aykroyd	25/10/2017 11:49
Simon's copy of Discrete and continuous data	draft	Simon Thomas	08/05/2019 09:41
SA1 Types of data	Ready to use	Lauren Desoysa	04/04/2024 10:43

There are 13 other versions that do you not have access to.

Question statement

Decide whether the following data sets are discrete or continuous.

Give any introductory information the student needs.

			Name	Type	Generated Value

disc	list	List of 6 items
cont	list	List of 4 items
trick	list	List of 3 items
ranc	integer	0
rant	integer	0
ranc2	integer	2
rand2	integer	2
rand3	integer	5
rand	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
["The number of students in a class.", "The result of rolling 3 dice.", "Shoe sizes.", "The number of chocolate bars sold on Monday.", "The number of movies downloaded.", "The number of cinema tickets sold."]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ "The number of students in a class.", "The result of rolling 3 dice.", "Shoe sizes.", "The number of chocolate bars sold on Monday.", "The number of movies downloaded.", "The number of cinema tickets sold." ]

This variable doesn't seem to be used anywhere.

Choose one from a list

Ask the student a question, and give any hints about how they should answer this part.

{cont[ranc]}

Show choice feedback state?

Show correct answer on reveal?

Show score feedback icon?

Advanced settings

Selection type

Number of display columns

(not displayed in columns)

Custom marking matrix?

Discrete

Marks: Distractor Message:
Continuous

Marks: Distractor Message:

Advice

Data can either be discrete or continuous.

Discrete data often consists of integers, but in general refers to units of measurement that cannot be split freely. Only certain values have a meaning. For example, shoe size is discrete because, even though we can have both 8.5 and 9 (so not just integers), we cannot have 8.7 or 8.75 etc.
Continuous data can be shown on a number line, all points on this line have a meaning. In between two measurements there's always a valid "middle" measurement. So for example, between 156.3cm and 156.4cm there's 156.35cm.

a)

Height is a continuous variable. For example, 180.3cm and 180.4cm have a valid midpoint 180.35cm.Weight is a continuous variable. For example, 54.5kg and 54.6kg have a valid midpoint 54.55kg.Time is a continuous variable. For example, 54.2s and 54.3s have a valid midpoint 54.25s.Temperature is a continuous variable, it can take any value between -273.15°C (absolute zero) and positive infinity. For example, 25°C and 26°C have a valid midpoint 25.5°C. Hence, this data is continuous.

b)

The number of students will always be an integer. You cannot split one student into two, for example value 19.5 students does not make sense. Therefore, this is a discrete set of data.The result of rolling 3 dice can take values of integers from 3 up to 18. For example, values 3 and 4 do not have any valid middle measurement. Therefore, this is a discrete set of data.Shoe sizes are a discrete set of data. For example, sizes 8 and 8.5 mean something while the middle value 8.25 does not.The number of chocolate bars sold on Monday will always be an integer. There is no middle measurement between 1 and 2 bars sold. You cannot buy a half of a bar. Therefore, this is a discrete set of data.The number of movies downloaded will always be an integer. You can either download a movie successfully or unsuccessfuly, so this is a discrete set of data. It is impossible to split 0 and 1 movies downloaded into 0.5. The number of cinema tickets sold will always be a whole number. There is no middle measurement between 1 and 2 tickets sold. You simply cannot buy half of a ticket. Therefore, this is a discrete set of data.

c)

The number of students will always be an integer. You cannot split one student into two, for example value 19.5 students does not make sense. Therefore, this is a discrete set of data.The result of rolling 3 dice can take values of integers from 3 up to 18. For example, values 3 and 4 do not have any valid middle measurement. Therefore, this is a discrete set of data.Shoe sizes are a discrete set of data. For example, sizes 8 and 8.5 mean something while the middle value 8.25 does not..The number of chocolate bars sold on Monday will always be an integer. There is no middle measurement between 1 and 2 bars sold. You cannot buy a half of a bar. Therefore, this is a discrete set of data.The number of movies downloaded will always be an integer. You can either download a movie successfully or unsuccessfuly, so this is a discrete set of data. It is impossible to split 0 and 1 movies downloaded into 0.5.The number of cinema tickets sold will always be a whole number. There is no middle measurement between 1 and 2 tickets sold. You simply cannot buy half of a ticket. Therefore, this is a discrete set of data.

d)

e)

When we round continuous variables to the nearest integer, this data becomes discrete, as there are no valid middle measurements between the integers. Therefore, the weight of a dog to the nearest kgthe height of Olympic medalists to the nearest cmthe time taken to run 10km to the nearest min is discrete and not continuous.

f)

The number of students will always be an integer. You cannot split one student into two, for example value 19.5 students does not make sense. Therefore, this is a discrete set of data.The result of rolling 3 dice can take values of integers from 3 up to 18. For example, values 3 and 4 do not have any valid middle measurement. Therefore, this is a discrete set of data.Shoe sizes are a discrete set of data. For example, sizes 8 and 8.5 mean something while the middle value 8.25 does not.The number of chocolate bars sold on Monday will always be an integer. There is no middle measurement between 1 and 2 bars sold. You cannot buy half of a bar of chocolate. Therefore, this is a discrete set of data.The number of movies downloaded will always be an integer. You can either download a movie successfully or unsuccessfuly, so this is a discrete set of data. It is impossible to split 0 and 1 movies downloaded into 0.5.The number of cinema tickets sold will always be a whole number. There is no middle measurement between 1 and 2 tickets sold. You simply cannot buy half of a ticket. Therefore, this is a discrete set of data.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet

This question is used in the following exams:

Probability by Simon Thomas in Stats.
Introduction to probability by Simon Thomas in Maths support.

Loading...

Error

Simon's copy of Discrete and continuous data

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Choose one from a list

Advanced settings

a)

b)

c)

d)

e)

f)

Loading...

Error

Simon's copy of Discrete and continuous data

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Choose one from a list

Advanced settings

a)

b)

c)

d)

e)

f)

Generated value: `list`