1 2
Copyright Reserved Outeursreg Voorbehou
University of Pretoria Universiteit van Pretoria
Faculty of Economic and Management Sciences Fakulteit Ekonomiese en Bestuurswetenskappe
Department of Statistics Departement Statistiek
Statistics 110 (STK110) Statistiek 110 (STK110)
Examination: 10 June 2013 Eksamen: 10 Junie 2013
Time: 180 minutes Total: 108 Marks Tyd: 180 minute Totaal: 108 Punte
Note: There are 108 marks available, but 100 is full marks. Let op: Daar is 108 punte beskikbaar, maar 100 is volpunte.
External Examiner: Dr. L. Fletcher Eksterne Eksaminator: Dr. L. Fletcher
Internal Examiners: Ms. T. Cronjé Interne Eksaminatore: Me. T. Cronjé
Ms. T. Hine Me. T. Hine
Mr. L. Mitchell Mnr. L. Mitchell
Ms. F. Reyneke Me. F. Reyneke
Mr. P.J. van Staden Mnr. P.J. van Staden
Instructions: Instruksies:
o Answer all the questions. o Beantwoord al die vrae.
o Complete the multi-choice answer sheet with pencil on SIDE 1. o Vul die meerkeuse antwoordblad op KANT 1 met potlood in.
o Check that your student number is filled in correctly on the multi- o Kontroleer dat u studentenommer korrek op die meerkeuse
choice answer sheet. antwoordblad ingevul is.
o A list of formulae and tables are attached. o ‘n Lys van formules en tabelle is aangeheg.
o Cell phones may not be used and must be switched off. o Selfone mag nie gebruik word nie en moet afgeskakel word.
o All other examination regulations apply – see the following page. o Alle ander eksamenregulasies geld – sien volgende bladsy.
o Do calculations on the counter page of the question paper if o Doen berekeninge op die teenblad van die vraestel indien nodig.
necessary.
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
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Examination Regulations Eksamenregulasies
1. No candidate may enter the examination hall later than half an hour after the examination 1. Geen kandidaat sal later as ‘n halfuur na die aanvang van ‘n eksamensessie tot die
session has commenced and no candidate may leave the examination hall earlier than eksamenlokaal toegelaat word nie en geen kandidaat mag die eksamenlokaal vroeër as
half an hour after the test session has commenced. ‘n halfuur na die aanvang van die eksamensessie verlaat nie.
2. Candidates are obliged to execute immediately all instructions given by an invigilator. 2. Kandidate is verplig om alle opdragte van ‘n opsiener onmiddellik na te kom.
3. Candidates may not take into the examination hall or have in their possession any 3. Kandidate mag geen ongemagtigde apparaat, boeke, aantekeninge van welke aard ookal
unauthorized apparatus, books, notes or paper of whatever nature or size. of enige papier hoe gering ookal, in die eksamenlokaal inneem nie of in hulle besit hê nie.
4. Once the invigilator has announced that the examination has commenced, all 4. Nadat die opsiener aangekondig het dat die eksamen begin, moet alle gesprekke of
conversation or any other form of communication between candidates must cease. enige ander wyse van kommunikasie tussen studente gestaak word. Tydens die duur
During the course of the examination there may be no communication of any nature van die eksamen mag daar geen gedagtewisseling van welke aard ookal tussen
between candidates. kandidate plaasvind nie.
5. No candidates may assist or attempt to assist another candidate, or obtain assistance or 5. Geen kandidaat mag ‘n ander kandidaat help of probeer help, of hulp verkry, of probeer
obtain assistance from another candidate with regard to any information. om hulp van ‘n ander kandidaat te verkry met betrekking tot enige inligting nie.
6. Candidates shall not act dishonestly in any respect. 6. Kandidate mag hulle nie aan enige oneerlikhede skuldig maak nie.
7. Writing on any paper other than that supplied for examination purposes is strictly 7. Dit is ten strengste verbied om op enige ander papier te skryf as dié wat vir
prohibited. eksamendoeleindes verskaf word.
8. Rough work may be done on the counter page of the examination paper. 8. Rofwerk mag op die teenblad van die vraestel gedoen word.
9. Smoking is not permitted in the examination hall and candidates may not leave the 9. Binne die eksamenlokaal mag daar nie gerook word nie en kandidate mag nie
examination hall during the examination in order to smoke outside. gedurende die eksamen die lokaal verlaat met die doel om buitekant te rook nie.
10. Only in exceptional circumstances will a candidate be given permission to leave the 10. Slegs in buitengewone omstandighede sal aan ‘n kandidaat toestemming verleen word
examination hall temporarily, and then only under the supervision of an invigilator. om die eksamen tydelik te verlaat en dan slegs onder toesig van ‘n opsiener.
11. Candidates may not remove used or unused answer sheets from the examination hall. 11. Kandidate mag nie gebruikte of ongebruikte antwoordblaaie uit die eksamenlokaal neem nie.
12. When the invigilator announces that the time has expired, candidates must stop writing 12. Sodra die opsiener aankondig dat die tyd verstreke is, moet kandidate onmiddellik ophou
immediately. skryf.
PLEASE NOTE: LET WEL:
Candidates are seriously warned about contravening any of these Kandidate word ernstig gewaarsku teen oortreding van hierdie
instructions and that, if found guilty, a candidate could forfeit all instruksies en daarop gewys dat by skuldigbevinding ‘n kandidaat
credits for a whole year and also be suspended from the alle krediet vir ‘n hele jaar se werk verbeur en daarbenewens uit
University (and consequently from all South African universities) die Universiteit (en gevolglik alle Suid-Afrikaanse universitêre
for a period that could range from one year to permanent inrigtings) geskors kan word vir ‘n tydperk wat kan wissel van een
suspension. jaar tot permanente skorsing.
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
, 5 6
BACKGROUND AGTERGROND
Almost all the questions in this paper are based on teams Die meeste vrae in die vraestel is gebaseer op spanne en
and athletes from TuksSport. Where necessary, pseudonym atlete van TuksSport. Waar nodig word skuilname gebruik
names are used to protect the identity of individuals. om die identiteit van individue te beskerm.
Questions 1 to 7 are based on the following information: Vrae 1 tot 7 is gebaseer op die volgende inligting:
The bar chart below summarizes the number of goals scored in each of the 30 Die staafdiagram hieronder gee ‘n opsomming van die aantal doele aangeteken in
Premier Soccer League (PSL) games in the 2012/2013 season in which AmaTuks elk van die 30 Premiersokkerliga (PSL) wedstryde waarin AmaTuks gespeel het in
played: die 2012/2013 seisoen:
Bar chart of the number of goals scored Staafdiagram van die aantal doele aangeteken
10 10
9 9
9 9
Frekwensie (aantal wedstryde)
Frequency (number of games)
8 8
7 7
6 6
6 6
5 5 5 5
5 5
4 4
3 3
3 3
2 2
1 1 1 1
1 1
0 0
0 1 2 3 4 5 6 0 1 2 3 4 5 6
Number of goals Aantal doele
Question 1 (1) Vraag 1 (1)
The measurement scale for the number of goals scored in a game is: Die metingskaal vir die aantal doele aangeteken in ‘n wedstryd is:
(A) interval (B) nominal (A) interval (B) nominaal
(C) normal (D) ordinal (C) normaal (D) ordinaal
(E) ratio (E) verhouding
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
Copyright Reserved Outeursreg Voorbehou
University of Pretoria Universiteit van Pretoria
Faculty of Economic and Management Sciences Fakulteit Ekonomiese en Bestuurswetenskappe
Department of Statistics Departement Statistiek
Statistics 110 (STK110) Statistiek 110 (STK110)
Examination: 10 June 2013 Eksamen: 10 Junie 2013
Time: 180 minutes Total: 108 Marks Tyd: 180 minute Totaal: 108 Punte
Note: There are 108 marks available, but 100 is full marks. Let op: Daar is 108 punte beskikbaar, maar 100 is volpunte.
External Examiner: Dr. L. Fletcher Eksterne Eksaminator: Dr. L. Fletcher
Internal Examiners: Ms. T. Cronjé Interne Eksaminatore: Me. T. Cronjé
Ms. T. Hine Me. T. Hine
Mr. L. Mitchell Mnr. L. Mitchell
Ms. F. Reyneke Me. F. Reyneke
Mr. P.J. van Staden Mnr. P.J. van Staden
Instructions: Instruksies:
o Answer all the questions. o Beantwoord al die vrae.
o Complete the multi-choice answer sheet with pencil on SIDE 1. o Vul die meerkeuse antwoordblad op KANT 1 met potlood in.
o Check that your student number is filled in correctly on the multi- o Kontroleer dat u studentenommer korrek op die meerkeuse
choice answer sheet. antwoordblad ingevul is.
o A list of formulae and tables are attached. o ‘n Lys van formules en tabelle is aangeheg.
o Cell phones may not be used and must be switched off. o Selfone mag nie gebruik word nie en moet afgeskakel word.
o All other examination regulations apply – see the following page. o Alle ander eksamenregulasies geld – sien volgende bladsy.
o Do calculations on the counter page of the question paper if o Doen berekeninge op die teenblad van die vraestel indien nodig.
necessary.
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
, 3 4
Examination Regulations Eksamenregulasies
1. No candidate may enter the examination hall later than half an hour after the examination 1. Geen kandidaat sal later as ‘n halfuur na die aanvang van ‘n eksamensessie tot die
session has commenced and no candidate may leave the examination hall earlier than eksamenlokaal toegelaat word nie en geen kandidaat mag die eksamenlokaal vroeër as
half an hour after the test session has commenced. ‘n halfuur na die aanvang van die eksamensessie verlaat nie.
2. Candidates are obliged to execute immediately all instructions given by an invigilator. 2. Kandidate is verplig om alle opdragte van ‘n opsiener onmiddellik na te kom.
3. Candidates may not take into the examination hall or have in their possession any 3. Kandidate mag geen ongemagtigde apparaat, boeke, aantekeninge van welke aard ookal
unauthorized apparatus, books, notes or paper of whatever nature or size. of enige papier hoe gering ookal, in die eksamenlokaal inneem nie of in hulle besit hê nie.
4. Once the invigilator has announced that the examination has commenced, all 4. Nadat die opsiener aangekondig het dat die eksamen begin, moet alle gesprekke of
conversation or any other form of communication between candidates must cease. enige ander wyse van kommunikasie tussen studente gestaak word. Tydens die duur
During the course of the examination there may be no communication of any nature van die eksamen mag daar geen gedagtewisseling van welke aard ookal tussen
between candidates. kandidate plaasvind nie.
5. No candidates may assist or attempt to assist another candidate, or obtain assistance or 5. Geen kandidaat mag ‘n ander kandidaat help of probeer help, of hulp verkry, of probeer
obtain assistance from another candidate with regard to any information. om hulp van ‘n ander kandidaat te verkry met betrekking tot enige inligting nie.
6. Candidates shall not act dishonestly in any respect. 6. Kandidate mag hulle nie aan enige oneerlikhede skuldig maak nie.
7. Writing on any paper other than that supplied for examination purposes is strictly 7. Dit is ten strengste verbied om op enige ander papier te skryf as dié wat vir
prohibited. eksamendoeleindes verskaf word.
8. Rough work may be done on the counter page of the examination paper. 8. Rofwerk mag op die teenblad van die vraestel gedoen word.
9. Smoking is not permitted in the examination hall and candidates may not leave the 9. Binne die eksamenlokaal mag daar nie gerook word nie en kandidate mag nie
examination hall during the examination in order to smoke outside. gedurende die eksamen die lokaal verlaat met die doel om buitekant te rook nie.
10. Only in exceptional circumstances will a candidate be given permission to leave the 10. Slegs in buitengewone omstandighede sal aan ‘n kandidaat toestemming verleen word
examination hall temporarily, and then only under the supervision of an invigilator. om die eksamen tydelik te verlaat en dan slegs onder toesig van ‘n opsiener.
11. Candidates may not remove used or unused answer sheets from the examination hall. 11. Kandidate mag nie gebruikte of ongebruikte antwoordblaaie uit die eksamenlokaal neem nie.
12. When the invigilator announces that the time has expired, candidates must stop writing 12. Sodra die opsiener aankondig dat die tyd verstreke is, moet kandidate onmiddellik ophou
immediately. skryf.
PLEASE NOTE: LET WEL:
Candidates are seriously warned about contravening any of these Kandidate word ernstig gewaarsku teen oortreding van hierdie
instructions and that, if found guilty, a candidate could forfeit all instruksies en daarop gewys dat by skuldigbevinding ‘n kandidaat
credits for a whole year and also be suspended from the alle krediet vir ‘n hele jaar se werk verbeur en daarbenewens uit
University (and consequently from all South African universities) die Universiteit (en gevolglik alle Suid-Afrikaanse universitêre
for a period that could range from one year to permanent inrigtings) geskors kan word vir ‘n tydperk wat kan wissel van een
suspension. jaar tot permanente skorsing.
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
, 5 6
BACKGROUND AGTERGROND
Almost all the questions in this paper are based on teams Die meeste vrae in die vraestel is gebaseer op spanne en
and athletes from TuksSport. Where necessary, pseudonym atlete van TuksSport. Waar nodig word skuilname gebruik
names are used to protect the identity of individuals. om die identiteit van individue te beskerm.
Questions 1 to 7 are based on the following information: Vrae 1 tot 7 is gebaseer op die volgende inligting:
The bar chart below summarizes the number of goals scored in each of the 30 Die staafdiagram hieronder gee ‘n opsomming van die aantal doele aangeteken in
Premier Soccer League (PSL) games in the 2012/2013 season in which AmaTuks elk van die 30 Premiersokkerliga (PSL) wedstryde waarin AmaTuks gespeel het in
played: die 2012/2013 seisoen:
Bar chart of the number of goals scored Staafdiagram van die aantal doele aangeteken
10 10
9 9
9 9
Frekwensie (aantal wedstryde)
Frequency (number of games)
8 8
7 7
6 6
6 6
5 5 5 5
5 5
4 4
3 3
3 3
2 2
1 1 1 1
1 1
0 0
0 1 2 3 4 5 6 0 1 2 3 4 5 6
Number of goals Aantal doele
Question 1 (1) Vraag 1 (1)
The measurement scale for the number of goals scored in a game is: Die metingskaal vir die aantal doele aangeteken in ‘n wedstryd is:
(A) interval (B) nominal (A) interval (B) nominaal
(C) normal (D) ordinal (C) normaal (D) ordinaal
(E) ratio (E) verhouding
STK110 EXAM / EKSAMEN 2013-06-10 STK110 EXAM / EKSAMEN 2013-06-10
