Relative Frequency

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Newcastle University Sports Science :

Vicky Hall

said

Needs to be tested

6 years, 7 months ago

History

○

Vicky Hall 6 years, 7 months ago

Gave some feedback: Needs to be tested

○

Lauren Frances Desoysa 6 years, 7 months ago

Created this as a copy of Relative Frequency .

Name	Status	Author	Last Modified
Relative Frequency	Ready to use	Elliott Fletcher	20/11/2019 14:41
Hugh's copy of Relative Frequency	draft	Hugh O'Donnell	16/01/2018 13:47
Relative Frequency	draft	Chris Graham	08/08/2018 10:16
Relative Frequency	Needs to be tested	Lauren Frances Desoysa	21/08/2018 14:58
Michael's copy of Relative Frequency	draft	Michael Proudman	07/12/2021 09:49

There are 6 other versions that do you not have access to.

Question statement

The relative frequency of an outcome is the frequency of the outcome divided by the number of trials.

Give any introductory information the student needs.

			Name	Type	Generated Value

no_people	integer	100
stretch	integer	19
no_students	integer	40
rel_freq	number	0.3
Vicon	integer	25
qualysis	integer	15
Optotrak	integer	10
n	integer	50

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(50..150 #10)

JME function reference

Description

Number of people asked in part a)

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`

100

This variable doesn't seem to be used anywhere.

Advice

The relative frequency of an outcome is the frequency of the outcome divided by the number of trials.

a)

To calculate the relative frequency of people who performed static stretches we need the number of trials, which is $\var{no_people}$ , and the number of people who said that they they performed static stretches, which is $\var{stretch}$ .

Therefore, the relative frequency of people who perform static stretches is

$\frac{\var{stretch}}{\var{no_people}} = \var{dpformat({stretch/no_people}, 2)} \; (\text{rounded to $2$ decimal places}).$

b)

We are told that the relative frequency of the number of femurs that break when $4000N$ is applied to them is $\var{rel_freq}$ , so we assume that the relative frequency is the same across all samples of femurs exposed to the same $4000N$ force. Therefore, in our sample of $\var{no_students}$ femurs we expect that

$\begin{align} \var{rel_freq} \times \var{no_students} = \var{{rel_freq}*{no_students}} \end{align}$

femurs will break.

As this result represents a number of femurs, if the answer is not an integer, we must round it to the nearest integer.

c)

Using the frequency table given in the question, we can calculate the sample size of the survey by adding together the frequencies of each of the different types of $3D$ motion analysis systems.

So, the sample size of the survey is

$\var{Vicon}+\var{qualysis}+\var{Optotrak} = \var{Vicon + qualysis + Optotrak}.$

ii)

To calculate the relative frequency of using Vicon as a type of $3D$ motion anaylsis system, we divide the frequency of Vicon by the sample size of the survey.

So, the relative frequency is

$\frac{\var{Vicon}}{\var{n}} = \var{dpformat({Vicon/n}, 2)} \; (\text{rounded to $2$ decimal places}).$

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?
Number entry
Number entry		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
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vicky Hall 6 years, 7 months ago

Lauren Frances Desoysa 6 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

a)

b)

c)

Loading...

Error

Relative Frequency

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vicky Hall 6 years, 7 months ago

Lauren Frances Desoysa 6 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

a)

b)

c)

Generated value: `integer`