SAQA

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:

Evaluate and solve data handling and probability problems within given contexts

SAQA US ID	UNIT STANDARD TITLE
119364	Evaluate and solve data handling and probability problems within given contexts
ORIGINATOR
SGB Math. Literacy Mathematics and Math Sciences
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
ABET Level 4	Regular-Fundamental	Level 1	NQF Level 01	5
REGISTRATION STATUS		REGISTRATION START DATE	REGISTRATION END DATE	SAQA DECISION NUMBER
Reregistered		2018-07-01	2023-06-30	SAQA 06120/18
LAST DATE FOR ENROLMENT		LAST DATE FOR ACHIEVEMENT
2024-06-30		2027-06-30

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

People credited with this unit standard are able to:

Collect data to answer questions related to human rights, social, economic, cultural, environmental and political matters

Summarise data into tables and summary statistics

Display data in diagrams

Critically analyse data in tables and diagrams in order to draw conclusions and make predictions

Interpret and determine chance variation

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING

It is assumed that learners undertaking the learning of this unit standards have prior knowledge and skill of reading and writing, working with numbers, operations with numbers and relationships between numbers and understanding of data handling and probability at ABET level 3.

UNIT STANDARD RANGE

N/A

Specific Outcomes and Assessment Criteria:

SPECIFIC OUTCOME 1

Collect data to answer questions.

OUTCOME RANGE

Data collection sheets; questionnaires; experiments; interviews
Questions include: human rights, social, economic, cultural, environmental and political matters.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

Appropriate sources of data (peers, family, newspapers, books, magazines, Internet) are identified.

ASSESSMENT CRITERION 2

A distinction between populations and samples is made.

ASSESSMENT CRITERION 3

The data that is collected (alone and/or as a member of a group or team) is appropriate to answer questions related to the investigation.

ASSESSMENT CRITERION 4

Data collection sheets are designed and used to collect data.

ASSESSMENT CRITERION 5

Questionnaires are designed and used to collect data.

ASSESSMENT CRITERION 6

Experiments involving random number generators, coins, spinners, dice and cards are designed and used to collect data.

ASSESSMENT CRITERION 7

Interviews are used to collect data.

SPECIFIC OUTCOME 2

Summarise data into tables and summary statistics.

OUTCOME RANGE

Tally tables; frequency tables; two-way tables; stem-and-leaf diagrams; broken line-diagrams; mode (most frequently occurring score); median (middle number or number between two middle numbers of a data set arranged in size order); mean (sum of all the scores divided by number of scores); range (difference between largest and smallest scores)

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

Data is organised and recorded in tally tables.

ASSESSMENT CRITERION 2

Data is organised and recorded in frequency tables.

ASSESSMENT CRITERION 3

Data is organised and recorded in two-way tables.

ASSESSMENT CRITERION 4

Data is organised and recorded in stem-and-leaf diagrams.

ASSESSMENT CRITERION 5

The mode is used as a measure of central tendency to summarise ungrouped data.

ASSESSMENT CRITERION 6

The median is used as a measure of central tendency to summarise ungrouped data.

ASSESSMENT CRITERION 7

The mean is used as a measure of central tendency to summarise ungrouped data.

ASSESSMENT CRITERION 8

The range is used as a measure of dispersion (spread) to summarise ungrouped data.

SPECIFIC OUTCOME 3

Display data in diagrams.

OUTCOME RANGE

Bar diagrams; double bar diagrams; pie diagrams in terms of proper fractions, decimals or percentages of circles; line diagrams.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

Data is displayed manually or electronically in bar diagrams and double bar diagrams with appropriate scales and keys.

ASSESSMENT CRITERION 2

Data is displayed manually or electronically in pie diagrams in terms of proper fractions, decimals or percentages of the circle.

ASSESSMENT CRITERION 3

Data is displayed manually or electronically in line diagrams.

SPECIFIC OUTCOME 4

Critically analyse data in tables and diagrams in order to draw conclusions and make predictions.

OUTCOME RANGE

Tally tables; frequency tables; two-way tables; stem-and-leaf diagrams; bar diagrams; double bar diagrams; pie diagrams; line diagrams.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

Data in tally tables, frequency tables, two-way tables and stem-and-leaf diagrams is critically read and interpreted with an awareness of sources of error and data manipulation (e.g. grouping, scale, choice of summary statistics) to draw conclusions and make predictions.

ASSESSMENT CRITERION 2

Data in bar diagrams, double bar diagrams, pie diagrams and line diagrams (own and in the media) is correctly read and interpreted with an awareness of sources of error and data manipulation (e.g. grouping, scale, choice of summary statistics) to draw conclusions and make predictions.

ASSESSMENT CRITERION 3

The most suitable measure of central tendency is chosen correctly.

ASSESSMENT CRITERION 4

The misuse of scales in diagrams as a source of error and bias is understood and explained with examples.

ASSESSMENT CRITERION 5

The misuse of grouping in tables and diagrams as a source of error and data manipulation is explained with examples.

ASSESSMENT CRITERION 6

Predictions are made about social, environmental and political issues (e.g. crime, national expenditure, conservation, HIV/AIDS), characteristics of target groups (e.g. age, gender, race, socio-economic), attitudes or opinions of people on issues (e.g. smoking, tourism, sport) and other human rights and inclusivity issues.

SPECIFIC OUTCOME 5

Interpret and determine chance variation.

OUTCOME RANGE

Possible outcomes (using two-way tables and tree diagrams) and their probability; actual outcomes and their relative frequencies.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

The possible outcomes of simple experiments (of which the possible outcomes are equally likely) are determined by using two-way tables and tree diagrams.

ASSESSMENT CRITERION 2

The list of possible outcomes is used to calculate the probability of each possible outcome.

ASSESSMENT CRITERION 3

Simple experiments are performed and the frequencies of the actual outcomes are counted correctly.

ASSESSMENT CRITERION 4

The frequencies of the actual outcomes are used to calculate the relative frequency of each actual outcome (the number of times the outcome happens divided by the number of trials in the experiment).

ASSESSMENT CRITERION 5

The probability of an outcome (calculated on the basis of equally likely events) is compared with its relative frequency (determined after many trials) and possible differences are explained.

ASSESSMENT CRITERION 6

The probability of an outcome of an experiment is used to predict the relative frequency of that outcome.

UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS

Providers of this Unit Standard must be accredited by the relevant Education and Training quality Authority (ETQA) before they can offer training against this unit standard.

Moderation option:
Moderation will be overseen by the relevant ETQA according to moderation guidelines in the relevant qualification and the agreed ETQA procedures.

UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE

N/A

UNIT STANDARD DEVELOPMENTAL OUTCOME

N/A

UNIT STANDARD LINKAGES

N/A

Critical Cross-field Outcomes (CCFO):

UNIT STANDARD CCFO IDENTIFYING

Identify and solve problems and make decisions using critical and creative thinking.

UNIT STANDARD CCFO WORKING

Work effectively with others as members of a team, group, organisation and community.

UNIT STANDARD CCFO ORGANISING

Organise and manage themselves and their activities responsibly and effectively.

UNIT STANDARD CCFO COLLECTING

Collect, analyse, organise and critically evaluate information.

UNIT STANDARD CCFO COMMUNICATING

Communicate effectively using visual, symbolic and/or language skills in various modes.

UNIT STANDARD CCFO SCIENCE

Use science and technology effectively and critically showing responsibility towards the environment and the health of other.

UNIT STANDARD CCFO DEMONSTRATING

Demonstrate an understanding of the world as a set of related systems by recognising that problem solving contexts do not exist in isolation.

UNIT STANDARD CCFO CONTRIBUTING

Contribute to the full personal development of the learner and the social and economic development of the society at large, by making individuals aware of the importance of:

Reflecting on and exploring a variety of strategies to learn more effectively;

Participating as responsible citizens in the life of local, national and global communities;

Being culturally and aesthetically sensitive across a range of social contexts;

Exploring education and career opportunities;

Developing entrepreneurial opportunities.

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

N/A

QUALIFICATIONS UTILISING THIS UNIT STANDARD:

	ID	QUALIFICATION TITLE	PRE-2009 NQF LEVEL	NQF LEVEL	STATUS	END DATE	PRIMARY OR DELEGATED QA FUNCTIONARY
Fundamental	71751	General Education and Training Certificate: Adult Basic Education and Training	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2020-09-16	As per Learning Programmes recorded against this Qual
Fundamental	73249	General Education and Training Certificate: Adult Basic Education and Training: Academic Curriculum	Level 1	NQF Level 01	Reregistered	2021-06-30	UMALUSI
Fundamental	66029	General Education and Training Certificate: Chemical Operations	Level 1	NQF Level 01	Reregistered	2023-06-30	As per Learning Programmes recorded against this Qual
Fundamental	58493	General Education and Training Certificate: Equine and Equestrian Practices	Level 1	NQF Level 01	Reregistered	2023-06-30	AgriSETA
Fundamental	58026	General Education and Training Certificate: Food and Beverage Handling Processes	Level 1	NQF Level 01	Reregistered	2023-06-30	FOODBEV
Fundamental	57829	General Education and Training Certificate: Grain Handling Processes	Level 1	NQF Level 01	Reregistered	2023-06-30	AgriSETA
Fundamental	66269	General Education and Training Certificate: Lumber Milling	Level 1	NQF Level 01	Reregistered	2023-06-30	FPMSETA
Fundamental	58267	General Education and Training Certificate: Mining and Minerals Processes	Level 1	NQF Level 01	Reregistered	2023-06-30	MQA
Fundamental	59300	General Education and Training Certificate: Transport	Level 1	NQF Level 01	Reregistered	2023-06-30	TETA
Fundamental	58760	National Certificate: Rock Breaking Underground Hard Rock	Level 3	NQF Level 03	Reregistered	2023-06-30	MQA

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.	Aldabri 106 Institute for Quality Pty Ltd
2.	ALLOYS HEAD OFFICE
3.	Andebe Training and Skills Development
4.	Anglo American Platinum Amendelbult Concentrators
5.	AVENG (AFRICA) (PTY) LTD
6.	BAFOKENG RASIMONE MANAGEMENT SERVICES PTY LTD
7.	BARBERTON MINES (PTY) LTD
8.	Barloworld Transport Solutions
9.	BEATRIX DIVISION
10.	Bev Short Training Consultants
11.	Boland College Head Office
12.	CAPE COLLEGE
13.	Contra-Lit Pty Ltd
14.	D Z D TRADING AND PROJECTS 24
15.	DE-VI Education and Training PTY Ltd.
16.	Dee-Bravo Training Centre
17.	DIGGERS TRAINING AND DEVELOPMENT SERVICES
18.	DIONYSUS SKILLS DEVELOPMENT INITIATIVE PTY LTD
19.	Driving Sense
20.	DWARSRIVER CHROME MINE (PTY) LTD
21.	EASTERN CHROME MINES
22.	EASTERN CROME MINES SAMANCOR
23.	Edutel Wholesale & Retail Academy
24.	ERGO BUSINESS DEVELOPMENT ACADEMY NPC
25.	FINSCH DIAMOND MINE(PTY) LTD
26.	FOSKOR (PTY) LTD
27.	GEOSTRAT TRAINING
28.	GNBR Solutions (Pty) Ltd
29.	Golden Ratio College
30.	GPR Training Academy (Pty) Ltd
31.	Guest Resource Services (Pty) Ltd
32.	He and She Driver Training Centre
33.	Heslop Brothers (Pty) Ltd
34.	HHO Enterprise
35.	Imbo driving school
36.	IMPALA PLATINUM LIMITED
37.	Imperial Logistics & Transport A Div Of Imper
38.	Imperial Logistics Group t/a Dedicated Contracts
39.	Innovative Shared Services
40.	JED Skills Academy
41.	KHUTALA MINING SERVICES PL
42.	KLOOF DIVISION
43.	KROONDAL OPERATIONS (PTY) LTD
44.	KSV Marketing and business services Pty Ltd
45.	Learning Exchange Pty Ltd
46.	Lomkhethi Trading Enterprise
47.	Makwedeng Training
48.	MANCAS CONSULTINGS CC
49.	MARULA PLATINUM PTY LTD
50.	MATHOME TRAINING AND DEVELOPMENT (PTY) LTD
51.	MATLA COAL NO 2 PAYROLL LTD
52.	MINERAL MINING TRAINING INSTITUTE(PTY) LTD
53.	MODIKWA MINING PERSONNEL SERVICES PTY L TD
54.	Ndikho Ndinani Protection (Pty) Ltd
55.	NKOMATI JOINT VENTURE
56.	NOFESA cc
57.	NOSA LOGISTICS PTY LTD
58.	Nqothu Projects (PTY) LTD
59.	Operational Process Improvements (Pty) Ltd
60.	OSR Trading
61.	P and R Development and Training (Pty) Ltd
62.	PALABORA COPPER (PTY) LTD
63.	Platorand Training Centre
64.	PPC LTD SANDTON OFFICE
65.	PROGRESSIVE TRAINING DEVELOPMENT AND PROJECTS (PTY) LTD
66.	Quantum Leap College Pty Ltd
67.	RICHARDS BAY MINING PTY LTD
68.	Rustenburg Platinum Mines - Union Section
69.	SAFETY TRAINING PRACTITIONERS PTY LTD
70.	SAMANCOR CHROME LTD
71.	SASOL GLOBAL LEARNING
72.	Sea Harvest Corporation (Pty) Ltd
73.	Seacrest Investments 156 (Pty) Ltd
74.	SENZEKO EXECUTIVE RISK CC
75.	SHAFT SINKERS MINING PTY LTD
76.	SIBANYE GOLD ACADEMY PROPRIETARY LIMITED
77.	SIBANYE RUSTENBURG PLATINUM MINES PTY LTD
78.	Siyaloba Training Academy
79.	SIYANDA BAKGATLA PLATINUM MINE
80.	SIYAYA SKILLS INSTITUTE EASTERN CAPE
81.	Skills For Life
82.	Solar Salt
83.	South Cape Public FET College - George Campus
84.	Southern Seas Institute CC
85.	Staffing Logistics
86.	TAU LEKOA GOLD MINING COMPANY (PTY) LTD
87.	TECHNOLOGY RISK SOLUTIONS (PTY)LTD
88.	TIBZA Consulting (Pty) Ltd
89.	Tirhani SkillsTraining Pty Ltd
90.	TRAIN THE NATION AND ASSOCIATES (PTY) LTD
91.	Training Force
92.	TRITON TRAINING AND DEVELOPMENT (PTY) LTD
93.	TWO RIVERS PLATINUM (PTY) LTD
94.	Umbuso Training Services
95.	Umgano Foundation (NPC)
96.	VENETIA MINE
97.	WESTERN PLATINUM MINE
98.	XTRACT TRAINING SERVICES CC
99.	York Timbers Pty Ltd