All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 
SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD: 
Collect and use data to establish complex statistical and probability models and solve related problems 
SAQA US ID  UNIT STANDARD TITLE  
7465  Collect and use data to establish complex statistical and probability models and solve related problems  
ORIGINATOR  
SGB Math Literacy, Math, Math Sciences L 2 4  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
  
FIELD  SUBFIELD  
Field 10  Physical, Mathematical, Computer and Life Sciences  Mathematical Sciences  
ABET BAND  UNIT STANDARD TYPE  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  RegularFundamental  Level 4  NQF Level 04  5 
REGISTRATION STATUS  REGISTRATION START DATE  REGISTRATION END DATE  SAQA DECISION NUMBER  
Reregistered  20180701  20230630  SAQA 06120/18  
LAST DATE FOR ENROLMENT  LAST DATE FOR ACHIEVEMENT  
20240630  20270630 
In all of the tables in this document, both the pre2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre2009 levels unless specifically stated otherwise. 
This unit standard does not replace any other unit standard and is not replaced by any other unit standard. 
PURPOSE OF THE UNIT STANDARD 
This unit standard will be useful to people who aim to achieve recognition at some level in Further Education and
Training or to meet the Fundamental requirement of a wide range of qualifications registered on the National Qualifications Framework. People credited with this unit standard are able to: Collect and work with data using various techniques to establish statistical models for specific purposes; Use experiments and simulations to explore probability models, make predictions and study problems; and Construct and interpret probability and statistical concepts in problem solving and decision making in realworld situations. 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The credit value is based on the assumption that people starting to learn towards this unit standard are competent in Mathematics and Communications at NQF level 3. 
UNIT STANDARD RANGE 
This unit standard includes the requirement to:
Use experimental design; Select the sample that can be representative of the population; Decide on factors that influence the range of reasonableness of estimates of the population statistics from a sample; Make comparisons of distribution of variables in one population and compare with the distribution of the same variable in two different populations; Use electronic and other devices as available to assist data collection, organisation and representation; Recognise how sample size and transformation of data affects shape, centre and spread; Use technology to determine how well different models such as linear, quadratic, exponential and logarithmetic fit data; Look for symmetry and skewness, clusters and gaps, and possible outliers in data and consider their effects on the interpretation of the data; Use data from samples to estimate population statistics; Demonstrate understanding that some phenomena are random and apply the law of large numbers to predict long term behaviour; Demonstrate understanding of and compute probabilities of independent, disjointed and conditional events; Demonstrate an understanding of probability distributions. Further range statements are provided for specific outcomes and assessment criteria as needed. 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Collect and work with data using various techniques. 
OUTCOME NOTES 
Collect and work with data using various techniques to establish statistical models for specific purposes.
Specific purposes include: 
OUTCOME RANGE 
Techniques include:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Situations or issues that can be dealt with through probabilistic or statistical methods are identified correctly. 
ASSESSMENT CRITERION 2 
2. Methods for collecting, recording and organising data are identified and selections are made so as to maximise efficiency and ensure resolution of the problem or issue. 
ASSESSMENT CRITERION 3 
3. Data sources and databases are selected to ensure representativeness of the data and validity of resolutions. Activities that could result in contamination of data are identified and explanations are provided of the effects of contaminated data. 
ASSESSMENT CRITERION 4 
4. Data is gathered using methods appropriate to the data type and purpose for gathering the data. Data collection methods are used correctly. 
ASSESSMENT CRITERION 5 
5. Calculations and the use of statistics are correct. 
ASSESSMENT CRITERION 6 
6. Graphical representations and numerical summaries are consistent with the data, are clear and appropriate to the situation and target audience. 
ASSESSMENT CRITERION 7 
7. Resolutions for the situation or issue are supported by the data and are validated in terms of the context. 
SPECIFIC OUTCOME 2 
Use experiments, simulations and probability distributions to set up and explore probability models. 
OUTCOME NOTES 
Use experiments, simulations and probability distributions to set up and explore probability models, make predictions and study problems. 
OUTCOME RANGE 
Performance in this specific outcome includes the requirement to:

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Experiments and simulations are chosen and/or designed appropriately in terms of the situation to be modelled. 
ASSESSMENT CRITERION 2 
2. Predictions are based on validated experimental or theoretical probabilities. 
ASSESSMENT CRITERION 3 
3. The results of experiments and simulations are interpreted correctly in terms of the real context. 
ASSESSMENT CRITERION 4 
4. The outcomes of experiments and simulations are communicated clearly. 
SPECIFIC OUTCOME 3 
Construct and interpret probability and statistical models. 
OUTCOME NOTES 
Construct and interpret probability and statistical models using distributions in problem solving and decision making in realworld situations. 
OUTCOME RANGE 
Performance in this specific outcome includes the requirement to,

ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
1. Statistics generated from the data are interpreted meaningfully and interpretations can be justified. 
ASSESSMENT CRITERION 2 
2. Assumptions made in the collection or generation of data and statistics are defined. 
ASSESSMENT CRITERION 3 
3. Tables, diagrams, charts and graphs are used appropriately in the analysis and representation of data, statistics and probability distributions. 
ASSESSMENT CRITERION 4 
4. Predictions, conclusions and judgements are made on the basis of valid arguments and supporting data, statistics and probability models. 
ASSESSMENT CRITERION 5 
5. Evaluations of the statistics identify potential sources of bias, errors in measurement, potential uses and misuses and their effects. 
ASSESSMENT CRITERION RANGE 
Effects on arguments, judgements, conclusions and ultimately the audience. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
Providers of learning towards this unit standard will need to meet the accreditation requirements of the GENFETQA.
Moderation Option: The moderation requirements of the GENFETQA must be met in order to award credit to learners for this unit standard. 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
The following essential embedded knowledge will be assessed by means of the specific outcomes in terms of the stipulated assessment criteria.
Candidates are unlikely to achieve all the specific outcomes, to the standards described in the assessment criteria, without knowledge of the listed embedded knowledge. This means that the possession or lack of knowledge can be inferred directly from the quality of the candidate`s performance against the standards. Methods for collecting, organising and analysing data; Techniques for representing and evaluating statistics; Basic discrete and continuous probability distributions. 
Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Solving a variety of problems based on data, statistics and probability Use mathematics to critically analyse, describe and represent situations and to solve problems. 
UNIT STANDARD CCFO COLLECTING 
Gather, organise, evaluate and critically interpret data and statistics to make sense of situations. 
UNIT STANDARD CCFO COMMUNICATING 
Use everyday language and mathematical language to represent data, statistics and probability and effectively communicate conclusions. 
UNIT STANDARD ASSESSOR CRITERIA 
Assessors should keep the following general principles in mind when designing and conducting assessments against this unit standard:
Where this is required, there will be assessment criteria to specify the standard required. 
REREGISTRATION HISTORY 
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  48978  Further Education and Training Certificate: Electrical Network Control  Level 4  NQF Level 04  Reregistered  20230630  EWSETA 
Fundamental  14854  National Certificate: Agric Sales and Services  Level 4  NQF Level 04  Reregistered  20230630  AgriSETA 
Fundamental  22868  National Certificate: Chemical Process Operations  Level 4  NQF Level 04  Passed the End Date  Status was "Reregistered" 
20051009  CHIETA 
Fundamental  23678  National Certificate: Fossil Power Plant Operation  Level 4  Level TBA: Pre2009 was L4  Reregistered  20230630  EWSETA 
Fundamental  20893  National Certificate: Human Resources Management and Practices Support  Level 4  NQF Level 04  Passed the End Date  Status was "Registered" 
20050213  Was SABPP until Last Date for Achievement 
Fundamental  23733  National Certificate: Nuclear Power Plant Operation  Level 4  Level TBA: Pre2009 was L4  Reregistered  20230630  EWSETA 
Fundamental  49075  National Certificate: Organisational Transformation and Change Management  Level 5  Level TBA: Pre2009 was L5  Reregistered  20230630  SERVICES 
Fundamental  21792  National Diploma: Contact Centre Management  Level 5  NQF Level 05  Reregistered  20230630  SERVICES 
Fundamental  49076  National Diploma: Organisational Transformation and Change Management  Level 5  NQF Level 05  Reregistered  20230630  SERVICES 
Elective  79806  National Certificate: Occupational Hygiene and Safety  Level 3  NQF Level 03  Reregistered  20230630  As per Learning Programmes recorded against this Qual 
Elective  50479  Further Education and Training Certificate: Advertising  Level 4  NQF Level 04  Reregistered  20230630  MICTS 
Elective  48966  Further Education and Training Certificate: Airconditioning, Refrigeration and Ventilation  Level 4  NQF Level 04  Passed the End Date  Status was "Reregistered" 
20090312  Was MERSETA until Last Date for Achievement 
Elective  65509  Further Education and Training Certificate: Airconditioning, Refrigeration and Ventilation  Level 4  NQF Level 04  Reregistered  20230630  MERSETA 
Elective  49063  National Certificate: Geographical Information Sciences  Level 5  Level TBA: Pre2009 was L5  Reregistered  20230630  CETA 
PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: 
This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here. 
1.  ATTI Nelspruit Pty Ltd 
2.  College Africa Group (Pty) Ltd 
3.  Footprint Media academy Pty ltd 
4.  HILLCROSS BUSINESS SCHOOL (PTY 
5.  Ikusasalethu Youth Development 
6.  Institutional Higher Education 
7.  Kelvin Power (Pty) Ltd 
8.  Leseding Computer Systems 
9.  LUPHINDI BUSINESS SOLUTIONS 
10.  MBOWA COLLEGE PTY LTD 
11.  Metanoia Ratings PTY LTD 
12.  Musengavhadzimu Media 
13.  Nyathela Business College 
14.  OPELONG BUSINESS INSTITUTE (PT 
15.  PC Educational Holdings Pty Ltd 
16.  Peo Entle HIV Wellness Management and Youth Skills Development NPO 
17.  Petcon Capacity Building Solut 
18.  QUALITATIVE INNOVATIVE SOLUTIONS 
19.  Richfield Graduate Institute of Technology Pty Ltd 
20.  Tinotel Communications 
21.  Varsity Institute of Science & Technology (Pty)Ltd 
22.  Visionary Skill Academy 
23.  VUTHLARI MARKETING CONSULTING 
24.  Whitestone College 
All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. 