Descriptive Stats (P): find sample mean, range and variance

Error

There was an error loading the page.

Contributors

History

○

Xiaodan Leng 5 years, 8 months ago

Created this as a copy of Descriptive Stats (P): find sample mean, range and variance.

Name	Status	Author	Last Modified
Descriptive Stats (P): find sample mean, range and variance	Ready to use	Hayley Moore	01/06/2016 09:47
Descriptive Stats (P): find sample mean, range and variance	draft	Xiaodan Leng	11/07/2019 07:02

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

Question statement

Joe makes a variable number of visits to the toilet each day. He recorded his activities as follows:

{table([data],['Monday','Tuesday','Wednesday','Thursday','Friday','Saturday','Sunday'])}

Compute the following descriptive statistics of the data. Round your answers to 2 decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

Mon	integer	3
Tues	integer	3
Wed	integer	5
Thurs	integer	5
Fri	integer	4
Sat	integer	1
Sun	integer	4
data	list	[ 3, 3, 5, 5, 4, 1, 4 ]
range	number	4
variance	number	1.6734693878
mean	number	3.5714285714

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..4)

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`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Mean: Unnamed gap

Advice

a)

The mean of a set of data is the sum of the data, divided by the number of values in the set. In this case, the mean is

$\simplify[]{({mon}+{tues}+{wed}+{thurs}+{fri}+{sat}+{sun})/7} = \var{precround(mean,2)} \text{ (to 2 d.p.)}$

b)

The range of a set of data is the difference between the greatest and least values in the set. In this case, the range is

$\simplify[]{{max(data)}-{min(data)} = {range}}$

c)

The variance of a sample $x_1,x_2, \dots, x_n$ is given by the following formula:

$\text{Variance} = \sum \frac{(x_i-\mu)^2}{n}$

{table([['$x_i$']+data,['$x_i-\\mu$']+map(x-mean,x,data),['$(x_i-\\mu)^2$']+map((x-mean)^2,x,data)],[])}

Now,

$\text{Variance} = \frac{1}{7} \sum (x_i-\mu)^2 = \var{precround(variance,2)} \text{ (to 2 d.p.)}$

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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is not used in any exams.

Loading...

Error

Descriptive Stats (P): find sample mean, range and variance

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

a)

b)

c)

Loading...

Error

Descriptive Stats (P): find sample mean, range and variance

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

a)

b)

c)

Generated value: `integer`