Transcript Collect and use data to establish statistical and probability

National Certificate in Paper & Pulp Manufacturing NQF Level 3
Collect and
use data to
establish
statistical and
probability
models and
solve related
problems
Commissioned by PAMSA
and German Technical Co-Operation
1
National Certificate in Paper & Pulp Manufacturing NQF Level 3
US:7454
Collect and use data to establish statistical and probability
models and solve related problems
Notional
Hours
15
TF305.01
Selecting a sample
TF305.02
Collecting data
10
TF305.03
Arranging and analysing data
15
TF305.04
Using random events to explore and apply probability concepts
10
Total Notional Hours
50
P&P3FM
Sampling and
collecting
P&P3FM
Analysing data
P&P3FM
Using random
events
Commissioned by PAMSA
and German Technical Co-Operation
2
National Certificate in Paper & Pulp Manufacturing NQF Level 3
US: 7454
Collect and use data to establish statistical and probability
models and solve related problems
Critical Cross-field Outcomes
TF305.01
Selecting a sample
Identify and solve
problems
Work effectively with
others
Be able to do effective
sampling in the workplace
Know the two major types of
sampling
Communicate effectively
Be able to use sampling
tools/instruments
Organise and manage
myself and my activities
Understand the guidelines and principles in
selecting a sample
Collect, analyse, organise
and critically evaluate
information
Understand the selection of units from a
population to conduct surveys
Understand what sampling is and why we need
sampling
Use science and
technology effectively and
critically
Demonstrate an
understanding of the
world as a set of related
systems
Use mathematics
Learner and societal
development
Commissioned by PAMSA
and German Technical Co-Operation
3
National Certificate in Paper & Pulp Manufacturing NQF Level 3
US: 7454
Collect and use data to establish statistical and probability
models and solve related problems
Critical Cross-field Outcomes
TF305.02
Collecting data
Identify and solve
problems
Work effectively with
others
Communicate effectively
Be able to work with the different
measuring instruments and scales
(yes/no, 5 point, discrete, continuous
variables)
Be able to use basic questionnaires
to obtain relevant data
Know how to check for
inconsistencies of data gathered
Know which data gathering
techniques are most suitable for the
specific solutions
Know that databases exist to store data
Understand the basics of questionnaire design
Know the basic data gathering techniques
including questionnaires
Commissioned by PAMSA
Know which situations could be resolved
through the use of statistics
and German Technical Co-Operation
Organise and manage
myself and my activities
Collect, analyse, organise
and critically evaluate
information
Use science and
technology effectively and
critically
Demonstrate an
understanding of the
world as a set of related
systems
Use mathematics
Learner and societal
development
4
National Certificate in Paper & Pulp Manufacturing NQF Level 3
Topic Specification: TF305.02
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Self Study
Field visit
Media search
Assignment Description
W
H
A
T
Interview experts
Attend lectures
A group exercise to design a
questionnaire which should be
used to collect appropriate data to
determine whether poverty has a
gender dimension as well as the
impact of the national lottery on
communities
HOW
Group Discussions
Sketch
1.
Case studies
Compile lists
Propose solutions/
2.
3.
recommendations
Execute, test and
evaluate
Collecting data
Job assignment
4.
Make presentation
5.
Multiple choice
6.
Draft a report
7.
Complete a
questionnaire
8.
Commissioned by PAMSA
Learners are provided with a multiple choice test to
test their understanding of basic data collection
techniques, the different measuring instruments
and scales and their usage
Answers are verified in a group discussions
In a group, determine the criteria for poverty (e.g
capital income, access to basic needs, employment,
education) as well as relevant characteristics of the
target group required for the research study.
Design appropriate questions using different
measuring instruments and scales
As a group present the questionnaire to the
facilitator for comments and recommendations
Include facilitator’s recommendation in the
questionnaire
Obtain assistance to have the questionnaire typed
and copied for further use in data collection
Collect data in your community by means of the
questionnaire
Topic assessment criteria
The assessor will observe and confirm
that learners:
• Are able to list the basic data collection
techniques
•Are able to design questionnaire using basic
principles of questionnaire design
•Are able to use questionnaire for resolution of a
problem
•Are able to evaluate data gathering techniques
and data collected
•Are able to work with measuring instruments and
techniques
and German Technical Co-Operation
Notional
Hours
10
5
National Certificate in Paper & Pulp Manufacturing NQF Level 3
US: 7454
Collect and use data to establish statistical and probability
models and solve related problems
Critical Cross-field Outcomes
TF305.03
Arranging and analysing data
Be able to use sort function (excel) to extract
information
Be able to use scatter plots and place
lines of best fit to represent association
between two variables
Be able to present statistics using
appropriate presentations
Be able to fit curves to predict trends
Know how to calculate inter-quartile and
when to apply it
Know how to calculate mode and when
to apply it
Know how to calculate weighted mean
and when to apply it
Know how to calculate range and when
to apply it
Know how to calculate arithmetic mean
and when to apply it
Know how to arrange data in basic excel
spreadsheets
Identify and solve
problems
Work effectively with
others
Communicate effectively
Organise and manage
myself and my activities
Collect, analyse, organise
and critically evaluate
information
Use science and
technology effectively and
critically
Demonstrate an
understanding of the
world as a set of related
systems
Use mathematics
Learner and societal
development
Commissioned by PAMSA
and German Technical Co-Operation
6
National Certificate in Paper & Pulp Manufacturing NQF Level 3
Topic Specification: TF305.03
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Self Study
Field visit
Media search
Assignment Description
W
H
A
T
Interview experts
Attend lectures
An individual exercise to organise
data collected for the research
study in excel and using statistical
calculations to interpret data.
Feedback on the findings of the
research study should be
presented using graphical
presentations
HOW
Group Discussions
Sketch
Case studies
Compile lists
Organise and capture
1.
2.
3.
4.
5.
Execute, test and
evaluate
Arranging and analysing data
Job assignment
Make presentation
6.
Individually organise data and prepare an
appropriate spreadsheet for capturing
Capture data in excel spreadsheet
Use appropriate techniques to analyse data
Present interpretations to the group using
graphical presentations
In a group discussion, discuss the results
of the survey
Draft a report on the results and include
graphs
Topic assessment criteria
The assessor will observe and confirm
that learners:
• Are able to organise data and extract data for
statistical purposes
•Are able to analyse data and present data by
using graphical presentations
•Are able to used appropriate and efficient methods
to organise data
•Graphical representations and numerical
summaries are consistent with the data
•Calculations and the use of statistics are correct
and appropriate to the problem
•Interpretation of the statistics are justified
Multiple choice
Draft a report
Notional
Hours
Complete a
questionnaire
15
Commissioned by PAMSA
and German Technical Co-Operation
7
National Certificate in Paper & Pulp Manufacturing NQF Level 3
US: 7454
Collect and use data to establish statistical and probability
models and solve related problems
Critical Cross-field Outcomes
TF305.04
Using random events to explore and
apply probability concepts
Be able to make and test predictions
about probability in the context of games
,real-life situations and the workplace
Be able to use basic counting
techniques to determine the number of
ways an event can occur
Work effectively with
others
Communicate effectively
Be able to distinguish between
situations in which probabilities need to
be multiplied from those in which
probabilities need to be added
Be able to use tree diagrams in
representing and working with events.
Be able to distinguish between
theoretical and experimental
probabilities
Know the term “odds on” in relation to a
probability value
Be able to distinguish between a trial ,outcome
and event
Identify and solve
problems
Be able to interpret probability values
expressed as fractions between 0 and 1
or as percentages
Be able to distinguish outcomes which are equally
likely
Organise and manage
myself and my activities
Collect, analyse, organise
and critically evaluate
information
Use science and
technology effectively and
critically
Demonstrate an
understanding of the
world as a set of related
systems
Use mathematics
Learner and societal
development
Commissioned by PAMSA
and German Technical Co-Operation
8
National Certificate in Paper & Pulp Manufacturing NQF Level 3
Topic Specification: TF305.04
Execute, test and
evaluate
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Self Study
Field visit
Media search
Using random events to explore and apply probability concepts
Assignment Description
W
H
A
T
An individual study to determine
the probability of winning popular
games (including lotteries, darts,
card games) and group discussion
to discuss findings and the social
impact of the national lottery
Interview experts
HOW
Group Discussions
Calculate
1.
Compile lists
2.
Organise and capture
3.
Job assignment
4.
Make presentation
Multiple choice
The assessor will observe and confirm
that learners:
• Are able to explore and apply probability concepts
in making predictions in various situations
•Are able to use appropriate and efficient methods
to organise data
•Are able to produce graphical representations and
numerical summaries consistent with the data
Attend lectures
Case studies
Topic assessment criteria
5.
Draft a report
Determine which games will be included in
the exercise
Apply probability concepts to make
predictions about probability
Analyse data collected on participation in
the national lottery and prepare a report on
your findings
Research the internet and include your
view on the socio economic impact of the
national lottery
Present your report orally to the group and
engage in a group discussion on the
different views expressed by learners
•Are able to correctly calculate and the use apply
statistics appropriate to the problem
•Are able to justify interpretation of the statistics
justified
Complete a
questionnaire
Commissioned by PAMSA
Notional
Hours
10
and German Technical Co-Operation
9