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: 
Apply mathematical and statistical techniques in a production environment 
SAQA US ID  UNIT STANDARD TITLE  
335876  Apply mathematical and statistical techniques in a production environment  
ORIGINATOR  
SGB Manufacturing and Assembly Processes  
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY  
  
FIELD  SUBFIELD  
Field 06  Manufacturing, Engineering and Technology  Manufacturing and Assembly  
ABET BAND  UNIT STANDARD TYPE  PRE2009 NQF LEVEL  NQF LEVEL  CREDITS 
Undefined  Regular  Level 5  Level TBA: Pre2009 was L5  20 
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 replaces: 
US ID  Unit Standard Title  Pre2009 NQF Level  NQF Level  Credits  Replacement Status 
12432  Use mathematical and statistical techniques effectively  Level 5  Level TBA: Pre2009 was L5  20 
PURPOSE OF THE UNIT STANDARD 
Learners will understand the importance and role of mathematical and statistical techniques in optimising activities, processes and procedures in the production environment. These techniques have wideranging applications and contribute largely to the learner's ability to develop a deeper understanding of the holistic and integrated nature of the production environment.
Learners credited with this standard will be able to: 
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
Further Education and Training Certificate: Automotive Components. 
UNIT STANDARD RANGE 
N/A 
Specific Outcomes and Assessment Criteria: 
SPECIFIC OUTCOME 1 
Perform mathematical calculations. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Mathematical techniques and calculations important in the workplace are identified in terms of their importance and how they are used in the workplace. 
ASSESSMENT CRITERION 2 
Mathematical calculations and mathematical techniques in the workplace are discussed, explained and used to resolve problems. 
ASSESSMENT CRITERION RANGE 
Calculations include percentages, conversions from fractions to percentages, ratios, piecharts, tables, graphs, reading and interpreting tables. 
SPECIFIC OUTCOME 2 
Perform statistical calculations. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The concepts of qualitative and quantitative analysis/data are explained in terms of the difference between them. 
ASSESSMENT CRITERION 2 
Methods of sampling are discussed in terms of the differences between them. 
ASSESSMENT CRITERION 3 
The reasons for manipulating/ organising/summarising data and for using statistical information and techniques are discussed to show how these aspects can be useful in the workplace. 
ASSESSMENT CRITERION 4 
Statistical calculations are selected and performed in relation to work environment. 
ASSESSMENT CRITERION RANGE 
Statistical calculations include knowledge of mean, median, range, mode, average and standard deviation. 
ASSESSMENT CRITERION 5 
Statistical graphs are discussed and used in relation to their applications in the industry. 
ASSESSMENT CRITERION NOTES 
Bar graphs, pie charts and line graphs are commonly used to communicate output of goods manufactured over time, ratio of various costs in the manufacturing process (usually in pie charts). Stem and leaf graphs are also often used in manufacturing companies to communicate data about various employees (e.g. age profiles). 
ASSESSMENT CRITERION 6 
Data is manipulated, analysed, interpreted and displayed in graphical form and findings are communicated to others. 
SPECIFIC OUTCOME 3 
Access and organise information or data. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Information and data required and the place where they can be accessed are identified and the reasons for acquiring them are discussed. 
ASSESSMENT CRITERION 2 
The way in which information/data needs to be organised and displayed is discussed and the systems that can help achieve this are identified. 
ASSESSMENT CRITERION 3 
Confidential information required for mathematical or statistical analysis is accessed using company protocol and analysed according to procedure. 
SPECIFIC OUTCOME 4 
Apply mathematical and statistical techniques to manage teams and staff. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Industry and organisational norms in relation to team and staff key indicators are identified and discussed to make it possible to effect the correct change. 
ASSESSMENT CRITERION 2 
The use of mathematics and statistics in managing team and staff is discussed to show their benefits for staff management. 
ASSESSMENT CRITERION 3 
The requirements of effective teams and staff within the organisation are discussed in relation to the mathematics and statistics associated in managing them. 
ASSESSMENT CRITERION 4 
Calculations are performed regarding key indicators, with regard to teams and staff. 
ASSESSMENT CRITERION RANGE 
Calculations include but are not limited to percentiles, statistical, value and ratio calculations.
Key indicators include: 
ASSESSMENT CRITERION 5 
Change is effected as a result of findings. 
SPECIFIC OUTCOME 5 
Use mathematical and statistical techniques to manage safety in the workplace. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Industry specific health and safety requirements and acts and industry specific benchmarks/norms are identified and discussed to ensure compliance and optimal performance with respect to health and safety. 
ASSESSMENT CRITERION 2 
Calculations are performed regarding key indicators, with regard to key health and safety indicators. 
ASSESSMENT CRITERION RANGE 
The calculations include but not be limited to injury free days, days since safety variances, number of safety noncompliances, number/percentage /ratio of injuries, total spend on safety, total payouts for injury, number and positions of safety equipment (such as fans per meters cubed, fire extinguishers per size of room, toilets per staff and staff per machine. 
ASSESSMENT CRITERION 3 
Health and safety nonconformances are identified and reported, findings are compared to quality requirements and calculations are used to analyse and report on health and safety information. 
ASSESSMENT CRITERION 4 
Improvements are recommended based on information obtained. 
SPECIFIC OUTCOME 6 
Implement mathematical and statistical techniques to manage production and related elements. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The production indicator benchmarks for the industry and the organisation are discussed to help assess a company's performance compared to external standards. 
ASSESSMENT CRITERION RANGE 
Productivity indicators include but are not limited to wastage, spoilage, maintenance, labour productivity, machine efficiency, capacity measures. 
ASSESSMENT CRITERION 2 
Calculations are performed within a production environment to analyse and report on key production indicators. 
ASSESSMENT CRITERION 3 
Variances are identified and findings are compared to key indicators in the company/industry. 
ASSESSMENT CRITERION 4 
A productivity report is prepared and presented to recommend improvements. 
SPECIFIC OUTCOME 7 
Apply mathematics and statistical techniques to manage costing and pricing and related elements. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
Key costing, pricing principles and indicators used both in the industry and within the organisation are discussed in order to make decisions. 
ASSESSMENT CRITERION RANGE 
Costing includes but is not limited to manufacturing or product expenses, administrative expenses, selling, distribution, marketing expenses and financial expenses. 
ASSESSMENT CRITERION 2 
Costing/pricing are discussed in relation to the factors that can impact on them. 
ASSESSMENT CRITERION RANGE 
Factors include but are not limited to quality, process, material and time. 
ASSESSMENT CRITERION 3 
The implications of discounting and other variables are discussed in terms of their impact on the costing/pricing of the company. 
ASSESSMENT CRITERION 4 
Calculations are used to analyse costing and pricing and a report is presented on information, trends and inconsistencies within the work context. 
ASSESSMENT CRITERION RANGE 
Calculations include but are not limited to profit (rand value), profit margin, markup, discounting; cost of raw materials (rand value, as a percentage of Cost of Goods Sold (COGS), cost of scrap (as percentage of COGS/ profit); variance from budget (rand value and as percentage of), transport costs as percentage of COGS, wastage and spoilage as percentages of COGS. 
ASSESSMENT CRITERION 5 
A quote is produced based on knowledge of costing and pricing. 
ASSESSMENT CRITERION 6 
A report is prepared and presented to recommend improvements. 
SPECIFIC OUTCOME 8 
Apply mathematical and statistical techniques to manage inventory and stock. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The industry norms in relation to inventory and stock key indicators are discussed to help assess how a company is performing with respect to external standards. 
ASSESSMENT CRITERION 2 
The company norms, policies and procedures pertaining to managing stock and inventory, and the stock systems that are used by the company to manage its stock are discussed to assess whether adjustments to these aspects need to be made. 
ASSESSMENT CRITERION 3 
Calculations related to management of stock are performed using formulae and other mechanisms and compared to industry standards. 
ASSESSMENT CRITERION RANGE 
Calculations include but are not limited to incidents of stock out (percentage, ratio, numbers), average stock storage time, optimal stock levels (formula), stock lead time, stock forecasting, percentage correct items in system against actual counted item (stock count). 
ASSESSMENT CRITERION 4 
Results are interpreted and change is implemented based on findings. 
SPECIFIC OUTCOME 9 
Use mathematical and statistical techniques to budget and analyse budgets. 
ASSESSMENT CRITERIA 
ASSESSMENT CRITERION 1 
The elements of a budget are discussed in relation to the other budgets of the organisaton/company as a whole. 
ASSESSMENT CRITERION RANGE 
Aspects to be considered include Organisational Objectives Set, Sales Budget Set, Operational Budgets Set, Financial Budgets Set, Master Budget Set, Review and Comparison of actual results with budgets, Control and Corrective Action. 
ASSESSMENT CRITERION 2 
The basic principles and industry norms for budgeting are discussed to obtain a broader and deeper understanding of the budgeting processes. 
ASSESSMENT CRITERION RANGE 
Principles and norms include zerobased budgeting, broader participation in the process, annual and interval budgets, discretionary spending budgets. 
ASSESSMENT CRITERION 3 
Indicators, ratios and percentages are used to determine the practicality and realistic nature of a budget. 
ASSESSMENT CRITERION RANGE 
These include Gross Profit percentage and Mark up percentage; Net Profit Percentage; COGS to turnover; ratio of raw materials, work in progress and finished goods; percentage research and development to turnover; percentage sales expenditure to turnover; wages as a percentage of COGS; factory overhead as a percentage of raw material; training and development spend as a percentage of salaries. 
ASSESSMENT CRITERION 4 
The company guidelines for budgeting are identified and discussed to ensure that budgeting remains within these parameters. 
ASSESSMENT CRITERION 5 
Calculations are performed for the budgeting process. 
ASSESSMENT CRITERION 6 
The budget is developed and checked as per company procedure. 
ASSESSMENT CRITERION RANGE 
Aspects to be considered include but are not limited to broad company guidelines, sales budget, production budget, how many items to produce (given opening and closing stock requirements), raw materials budget (given opening and closing stock requirements), direct labour budget, manufacturing overhead budget, selling expenses budget, administrative budget, financial budget, capital expenditure budgets and cash flow budgets. 
ASSESSMENT CRITERION 7 
The budget is interpreted, analysed and reviewed according to company procedure. 
UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
UNIT STANDARD DEVELOPMENTAL OUTCOME 
N/A 
UNIT STANDARD LINKAGES 
N/A 
Critical Crossfield Outcomes (CCFO): 
UNIT STANDARD CCFO IDENTIFYING 
Identify and solve problems in which responses display that responsible decisions using critical and creative thinking have been made when:

UNIT STANDARD CCFO WORKING 
Work effectively with others as a member of a team, group, organisation and community to:

UNIT STANDARD CCFO ORGANISING 
Organise and manage oneself and one's activities responsively and effectively when:

UNIT STANDARD CCFO COLLECTING 
Collect, analyse, organise and critically evaluate information to:

UNIT STANDARD CCFO COMMUNICATING 
Communicate effectively using visual, mathematical and/or language skills in the modes of oral and/or written presentation when:

UNIT STANDARD CCFO SCIENCE 
Use science and technology effectively and critically, showing responsibility towards the environment and the health of others by:

UNIT STANDARD ASSESSOR CRITERIA 
N/A 
REREGISTRATION HISTORY 
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. 
UNIT STANDARD NOTES 
This Unit Standard replaces Unit Standard 12432, "Use mathematical and statistical techniques effectively", Level 5, 20 credits. 
QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
ID  QUALIFICATION TITLE  PRE2009 NQF LEVEL  NQF LEVEL  STATUS  END DATE  PRIMARY OR DELEGATED QA FUNCTIONARY  
Fundamental  71969  National Certificate: Automotive Components: Manufacturing and Assembly  Level 5  Level TBA: Pre2009 was L5  Passed the End Date  Status was "Reregistered" 
20150630  MERSETA 
Fundamental  78943  National Certificate: Autotronics  Level 5  Level TBA: Pre2009 was L5  Reregistered  20230630  MERSETA 
Fundamental  80686  National Diploma: Supply Chain Management: Sensitive Consumer Products  Level 6  NQF Level 06  Reregistered  20230630  FOODBEV 
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.  Dawsons Training Academy (Pty) Ltd (DURBAN) (TP) 
2.  Imperial Technical Training Academy (WADEVILLE) (TP) 
3.  McCarthy Automotive Artisan Academy (MIDRAND) (TP) 
4.  Toyota Academy Toyota SA Motors (Pty) Ltd (SANDTON) (TP) 
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. 