Standard deviation of a list of numbers with hints

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Xiaodan Leng 5 years, 9 months ago

Created this as a copy of Standard deviation of a list of numbers with hints.

Name	Status	Author	Last Modified
Standard deviation of a list of numbers	Ready to use	Christian Lawson-Perfect	13/12/2019 15:54
Standard deviation of a list of numbers with hints	Ready to use	Julie Crowley	13/09/2018 14:01
Michael's copy of Standard deviation of a list of numbers with hints	draft	Michael Proudman	07/12/2021 09:49
Simon's copy of population Standard deviation of a list of numbers with hints	draft	Simon Thomas	13/05/2019 11:04
Simon's copy of sample Standard deviation of a list of numbers with hints	draft	Simon Thomas	13/05/2019 11:17
Exam06 - Mean & Standard deviation	draft	Michael Proudman	07/12/2021 09:54
nuExam06 - Mean & Standard deviation	draft	Michael Proudman	07/12/2021 09:54
Standard deviation of a list of numbers with hints	draft	Xiaodan Leng	10/07/2019 23:33
Yvonne's copy of Standard deviation of a list of numbers	Ready to use	Yvonne Wancke	26/02/2021 11:09
Standard deviation list of numbers EXAM	Ready to use	Yvonne Wancke	19/04/2023 15:26
Standard deviation list of numbers EXAM PRAC	Ready to use	Yvonne Wancke	06/01/2023 11:50
Mean 2 list of numbers EXAM	Ready to use	Yvonne Wancke	19/04/2023 15:32

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Question statement

Find the Standard Deviation

Give any introductory information the student needs.

			Name	Type	Generated Value

data	list	List of 8 items
sigma	number	6.0827625303
x	integer	8
mean	number	14
var	number	37

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(1..30),x)

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`

[ 17, 9, 13, 5, 15, 11, 27, 15 ]

← Depends on:

This variable doesn't seem to be used anywhere.

Advice

Standard deviation = $\sqrt{\frac{\Sigma (x-\text{mean})^2}{n}}$

What is the mean? Add up the numbers and divide by the number of numbers getting an answer of {mean}.

Now, subtract the mean individually from each of the numbers given and square the result.

Now add up these results. This is the ' $\Sigma (x-\text{mean})^2$ ' part in the formula.
Divide by {x} the number of values. This gives an answer of {var}.

Finally, find the square root to get an answer of {sigma}.

Give a worked solution to the whole question.

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Standard deviation of a list of numbers with hints

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

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Warning

Generated value: `list`

Parts

Number entry

Advanced settings

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Error

Standard deviation of a list of numbers with hints

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Number entry

Advanced settings

Generated value: `list`