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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD: 

Collect and use data to establish basic statistical and probability models and solve related problems 
SAQA US ID UNIT STANDARD TITLE
7467  Collect and use data to establish basic 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 PRE-2009 NQF LEVEL NQF LEVEL CREDITS
Undefined  Regular-Fundamental  Level 2  NQF Level 02  5 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Reregistered" 		 2003-12-03  2006-12-03  SAQA 1351/03 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2007-12-03   2010-12-03  

In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 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 consider equally likely events to explore probability models, make predictions and study problems, and
  • Use probability and statistical concepts in problem solving and decision-making in real-world situations and critically interpret results and conclusions. 
    		•

    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 1. 

    UNIT STANDARD RANGE 
    This unit standard includes the requirement to:
  • Identify issues suited to resolution by basic statistical methods
  • Collect and generate data through the use of questionnaires and suitable experiments
  • Generate appropriate statistics and probability values through the use of calculators
  • Represent data in the form of tables and appropriate charts and graphs
  • Use statistics and representations of data to argue a resolution to an issue
  • Critically analyse and interpret statistics and representations of data
  • Work with experimental and theoretical definitions of probability
  • Work with probability values in practical situations
    More detailed 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. 
    OUTCOME RANGE 
    Techniques include:
  • the formulation of questionnaires and interviews for a specific purpose,
  • the use of interviews and questionnaires to obtain data for surveys and censuses
  • selecting a sample from a population with due sensitivity to issues relating to bias
  • generating experimental data appropriate to the situation under investigation
  • working with dichotomous, discrete, and continuous data
  • using a variety of methods to represent statistics including pie charts, bar graphs, histograms, stem and leaf plots, box plots
  • calculating measures of centre and spread such as mean, median, mode, range and inter-quartile range
  • using scatter plots to represent the association between two variables
    Specific purposes include:
  • determining trends in societal issues such as crime and health
  • identifying relevant characteristics of target groups such as age range, gender, socio-economic group, cultural belief, and performance
  • considering the attitudes or opinions of people on issues 
    		•

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1. Situations or issues that can be dealt with through 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. 

    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. Data gathering techniques and data collected is evaluated and faults and inconsistencies are identified. 

    ASSESSMENT CRITERION 6 
    6. Calculations and the use of statistics are correct. 

    ASSESSMENT CRITERION 7 
    7. Graphical representations and numerical summaries are consistent with the data, are clear and appropriate to the situation and target audience. 

    SPECIFIC OUTCOME 2 
    Use experiments and consider equally likely events to explore probability models. 
    OUTCOME NOTES 
    Use experiments and consider equally likely events to explore probability models, make predictions and study problems 
    OUTCOME RANGE 
    Performance in this specific outcome includes the requirement to:
  • organise, sort and classify data for processing and analysis
  • distinguish between theoretical and experimental probabilities
  • use probability models for comparing experimental results with mathematical expectations
  • use tree diagrams in representing and working with events
  • distinguish between independent, mutually exclusive and complementary events
  • use basic counting techniques to determine the number of ways an event can occur.
  • make and test predictions about probability in the context of games and real-life situations 
    		•

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    1. Experiments and simulations are chosen appropriately in terms of the situation to be investigated. 

    ASSESSMENT CRITERION 2 
    2. Data is gathered, organised, sorted and classified in a suitable manner for further processing and analysis. 

    ASSESSMENT CRITERION 3 
    3. Theory is used correctly to determine probabilities. 

    ASSESSMENT CRITERION 4 
    4. Distinctions are correctly made between theoretical and experimental probabilities and between independent, mutually exclusive and complementary events. 

    ASSESSMENT CRITERION 5 
    5. Predictions are based on validated experimental or theoretical probabilities. 

    ASSESSMENT CRITERION 6 
    6. The outcomes of experiments and simulations are communicated clearly. 

    SPECIFIC OUTCOME 3 
    Use probability and statistical concepts in problem solving and decision making. 
    OUTCOME NOTES 
    Use probability and statistical concepts in problem solving and decision making in real-world situations and critically interpret results and conclusions. 
    OUTCOME RANGE 
    : Performance in this specific outcome includes the requirement to:
  • Source and interpret information from a variety of sources including nested or layered tables,
  • Critically evaluate arguments based on statistics and probability and make recommendations
  • Describe the use and misuse of statistics and probability in society
  • Use probabilities to make predictions and judgements. 
    		•

    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 and statistics. 

    ASSESSMENT CRITERION 4 
    4. Predictions, conclusions and judgements are made on the basis of valid arguments and supporting data and statistics. 

    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 through assessment 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 the 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
  • Probability concepts 
    		•


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
  • Identify and solve problems using critical and creative thinking:
    Solving a variety of problems based on data statistics and probabilities
  • Use mathematics:
    Use mathematics to analyse, describe and represent situations and to solve problems. 
    		•

    UNIT STANDARD CCFO COLLECTING 
  • Collect, analyse, organise and critically evaluate information:
    Gather, organise, evaluate and interpret data and statistics to make sense of situations. 
    		•

    UNIT STANDARD CCFO COMMUNICATING 
  • Communicate effectively:
    Use everyday language and mathematical language to represent data, statistics and probabilities and to communicate conclusions. 
    		•

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
    NONE 


    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. NWK Beperk 
    2. Senwes Beperk 


    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.