BS1.5

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Bill Foster

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Bill Foster 12 years, 2 months ago

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Question statement

The following data are the {whatever} for {these}, {units} taken by {this}

{table(tble,t)}

Answer the following questions:

Give any introductory information the student needs.

			Name	Type	Generated Value

me	integer	11
tble1	list	Nested 2×12 list
tble	list	Nested 2×13 list
shortform	string	orders
med	number	13
this	string	an online warehouse
m	integer	12
period	string	month
whatever	string	number of orders per month
interq	number	6.00
note	string
p	string	year
std	number	3.89
r	list	List of 24 items
these	string	specialist camera equipment
t	list	List of 13 items
av	number	12.00
units	string	over a 2 year period,
sig	number	4
n	integer	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(7..12)

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: `integer`

→ Used by:

tble1

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add

Gap-fill

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

Sample mean = Gap 0.{shortform}. Give your answer to $2$ decimal places.

Sample Standard Deviation = Gap 1. {shortform}. Give your answer to $2$ decimal places.

Sample Median = Gap 2. (Input as an exact decimal).

The interquartile range= Gap 3. (Input as an exact decimal).

Advice

As we have to find the median and the interquartile range it is a good idea to order the data and also to total up the data (for the mean) and find the total of the squares of the data (for the variance).

{table([['Data']+sort(r),['Squared data']+map(x^2,x,sort(r)),['Index']+map(x,x,1..m*n)],[])}

Note that from the above table:

$n=\var{m*n}$.

$\displaystyle \sum x_i = \var{sum(r)}$ and

$\displaystyle \sum x^2_i = \var{sum(map(x^2,x,r))}$ .

The sample mean is $\bar{x}=\displaystyle \frac{ \sum x_i}{n}=\frac{\var{sum(r)}}{\var{m*n}}=\var{mean(r)}=\var{av}$ to 2 decimal places.

The sample deviation is the square root of the sample variance.

Sample variance:\[\begin{eqnarray*}\frac{1}{ n -1}\left(\sum x_i ^ 2 - n \bar{x} ^ 2\right)&=& \frac{1}{\var{m*n-1}}\left(\var{sum(map(x^2,x,r))}-\var{m*n}\times\var{mean(r)^2}\right)\\&=&\var{variance(r,true)}\end{eqnarray*}\] {Note}

So the sample standard deviation = $\sqrt{\var{variance(r,true)}}=\var{std}$ to 2 decimal places.

The median is $\var{median(r)} $.

The lower quartile is : $\var{lquartile(r)}$.

The upper quartile is : $\var{uquartile(r)}$.

The interquartile range is the difference between these quartiles =$\var{uquartile(r)}-\var{lquartile(r)}=\var{uquartile(r)-lquartile(r)}$

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?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
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This question is used in the following exams:

SK exam by Steve King in Steve's workspace.
BS1 Week 11 by Julie Crowley in Waste.
Ellen 1 by Ellen Marshall in Ellen's workspace.
Maths Support: Methods of sampling by Christian Lawson-Perfect in Maths Support Wiki.
mathcentre: Methods of sampling by Newcastle University Mathematics and Statistics in mathcentre.
James's copy of Bradford: Statistics 1 by James Eustace in James's workspace.
David's copy of mathcentre: Methods of sampling by David Rickard in David's workspace.
Bradford: Statistics 1 by Bill Foster in Bill's workspace.
mathcentre: Business Statistics 1 by Bill Foster in Bill's workspace.
Untitled Exam by Colin Beale in Colin's workspace.
Statistics: 1 by Aneela Arshad in Aneela's workspace.
James's copy of Statistics: 1 by James Eustace in James's workspace.
Farzaneh's copy of Maths Support: Methods of sampling by Farzaneh Azizi in Farzaneh's workspace.
Descriptive Statistics by Kevin Bohan in Kevin's workspace.
boying's copy of mathcentre: Methods of sampling by boying xu in boying's workspace.
Methods of sampling by Jeremie Wenger in Jeremie's workspace.
Morgiane's copy of Maths Support: Methods of sampling by Morgiane Richard in Morgiane's workspace.
Q1: Methods of sampling by James Maina in James's workspace.
mathcentre: Methods of sampling by Michael Proudman in Mathcentre based Materials.
Apprentices Year 2 Descriptive Statistics Quiz by Aoife O'Brien in Aoife's workspace.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 12 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

BS1.5

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 12 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`