MSS - Median Calculation - Numbas at mathcentre.ac.uk

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Merryn Horrocks 2 years, 2 months ago

Published this.

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Brent Le Cornu 2 years, 5 months ago

Created this.

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Question statement

Below is a set of $\var{question_numbercount}$ numbers.

$\var{set(question_numberset)}$

Give any introductory information the student needs.

			Name	Type	Generated Value

question_numbercount	integer	6
question_numberset	list	[ 24, 22, 17, 18, 10, 2 ]
question_median	number	17.5
sorted_numberset	list	[ 2, 10, 17, 18, 22, 24 ]

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

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

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Generated value: `integer`

→ Used by:

question_numberset

Parts

Calculating Median Gap-fill
1. Gap Median Number entry
  1. Alt Unnamed alternative
  Add

Gap-fill

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

Calculate the median of this set and enter it below.

Median: Median

Advice

To calculate the median we arrange the numbers in order,

$\var{sorted_numberset}$

and find the middle number.

There are $7$ numbers so the median is the value in the $4^{th}$ position, which is $\var{question_median}$.

There are $6$ numbers so the median is the value in the $3.5^{th}$ position. This is the value halfway between $\var{sorted_numberset[2]}$ and $\var{sorted_numberset[3]}$.

We can calculate this as the average of $\var{sorted_numberset[2]}$ and $\var{sorted_numberset[3]}$ : median = $\dfrac{\var{sorted_numberset[2]}+\var{sorted_numberset[3]}}{2} = \var{question_median}$.

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Part	Test	Passed?
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Number entry
Number entry		Hasn't run yet

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MSS - Median Calculation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Merryn Horrocks 2 years, 2 months ago

Brent Le Cornu 2 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

MSS - Median Calculation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Merryn Horrocks 2 years, 2 months ago

Brent Le Cornu 2 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`