1 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Collect and use data to establish statistical and probability models and solve related problems

2 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Selecting a sample Notional Hours Total Notional Hours TF Collecting data TF Arranging and analysing data TF Using random events to explore and apply probability concepts US:7454 Collect and use data to establish statistical and probability models and solve related problems P&P3FM Sampling and collecting P&P3FM Analysing data P&P3FM Using random events

3 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Selecting a sample Critical Cross-field Outcomes 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 Understand what sampling is and why we need sampling Know the two major types of sampling Understand the selection of units from a population to conduct surveys Understand the guidelines and principles in selecting a sample Be able to use sampling tools/instruments Be able to do effective sampling in the workplace US: 7454 Collect and use data to establish statistical and probability models and solve related problems

4 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Collecting data Critical Cross-field Outcomes 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 Understand the basics of questionnaire design Know how to check for inconsistencies of data gathered Be able to work with the different measuring instruments and scales (yes/no, 5 point, discrete, continuous variables) Know the basic data gathering techniques including questionnaires Know that databases exist to store data Be able to use basic questionnaires to obtain relevant data Know which data gathering techniques are most suitable for the specific solutions Know which situations could be resolved through the use of statistics US: 7454 Collect and use data to establish statistical and probability models and solve related problems

5 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Collecting data Collect Information Use Multi media Self Study Field visit Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Propose solutions/ recommendations Execute, test and evaluate Job assignment Make presentation Multiple choice Draft a report Complete a questionnaire Learning ActivitiesTopic 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 Assignment Description WHATWHAT HOW Notional Hours 10 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 1.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 2.Answers are verified in a group discussions 3.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. 4.Design appropriate questions using different measuring instruments and scales 5.As a group present the questionnaire to the facilitator for comments and recommendations 6.Include facilitator’s recommendation in the questionnaire 7.Obtain assistance to have the questionnaire typed and copied for further use in data collection 8.Collect data in your community by means of the questionnaire

6 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Arranging and analysing data Critical Cross-field Outcomes 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 Be able to use sort function (excel) to extract information Know how to arrange data in basic excel spreadsheets Know how to calculate arithmetic mean and when to apply it Know how to calculate weighted mean and when to apply it Know how to calculate mode and when to apply it Know how to calculate range and when to apply it Know how to calculate inter-quartile and when to apply it Be able to use scatter plots and place lines of best fit to represent association between two variables Be able to fit curves to predict trends Be able to present statistics using appropriate presentations US: 7454 Collect and use data to establish statistical and probability models and solve related problems

7 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Arranging and analysing data Collect Information Use Multi media Self Study Field visit Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Sketch Case studies Compile lists Organise and capture Execute, test and evaluate Job assignment Make presentation Multiple choice Draft a report Complete a questionnaire Learning ActivitiesTopic 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 Assignment Description WHATWHAT HOW Notional Hours 15 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 1.Individually organise data and prepare an appropriate spreadsheet for capturing 2.Capture data in excel spreadsheet 3.Use appropriate techniques to analyse data 4.Present interpretations to the group using graphical presentations 5.In a group discussion, discuss the results of the survey 6.Draft a report on the results and include graphs

8 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 TF Using random events to explore and apply probability concepts Critical Cross-field Outcomes 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 Be able to distinguish between a trial,outcome and event Be able to distinguish outcomes which are equally likely Be able to interpret probability values expressed as fractions between 0 and 1 or as percentages Know the term “odds on” in relation to a probability value Be able to distinguish between theoretical and experimental probabilities Be able to use tree diagrams in representing and working with events. Be able to use basic counting techniques to determine the number of ways an event can occur 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 make and test predictions about probability in the context of games,real-life situations and the workplace US: 7454 Collect and use data to establish statistical and probability models and solve related problems

9 Commissioned by PAMSA and German Technical Co-Operation National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF Using random events to explore and apply probability concepts Collect Information Use Multi media Self Study Field visit Media search Interview experts Attend lectures Analyse, plan and make decisions Group Discussions Calculate Case studies Compile lists Organise and capture Execute, test and evaluate Job assignment Make presentation Multiple choice Draft a report Complete a questionnaire Learning ActivitiesTopic assessment criteria 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 Are able to correctly calculate and the use apply statistics appropriate to the problem Are able to justify interpretation of the statistics justified Assignment Description WHATWHAT HOW Notional Hours 10 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 1.Determine which games will be included in the exercise 2.Apply probability concepts to make predictions about probability 3.Analyse data collected on participation in the national lottery and prepare a report on your findings 4.Research the internet and include your view on the socio economic impact of the national lottery 5.Present your report orally to the group and engage in a group discussion on the different views expressed by learners