_________________________________________
IOP2601
ORGANISATIONAL RESEARCH METHODS
Workbook _Memo
_________________________________________
, DESCRIPTIVE STATISTICS
BASIC MATHEMATICAL CALCULATIONS S3
SUMMATION NOTATION/SOMMASIE-NOTASIE
We are now working with the first set of ungrouped data that we provided on the first page.
Ons werk nou met die eerste stel data of ongegroepeerde data wat ons op die eerste bladsy verskaf het.
Complete the table by doing all the summation notations (SU 3, Tutorial 24).
Voltooi die tabel deur al die sommasie-notasie (SE 3, Tutorial 24) te doen.
For all the computations you need to do later on, you will only substitute the values in this summation
table in the different formulas. So make sure that you work very accurately and that all your calculations
are correct.
Vir al die berekeninge wat jy later moet doen, is dit net nodig om die waardes in die formules te vervang.
Maak dus seker dat jy akkuraat werk en dat al jou berekeninge korrek is.
X = Score on assignment question/Punte vir werkopdragvraag
Y = Score on examination question/Punte vir eksamenvraag
Student X Y X² Y² XY
A 1 5 1 25 5
B 2 4 4 16 8
C 2 5 4 25 10
D 2 6 4 36 12
E 3 8 9 64 24
F 4 7 16 49 28
G 5 8 25 64 40
H 7 7 49 49 49
I 7 8 49 64 56
J 8 8 64 64 64
N = 10 ΣX = 41 ΣY = 66 ΣX² = 225 ΣY² = 456 ΣXY = 296
(ΣX)² = (41)² = 1 681
(ΣY)² = (66)² = 4 356
ΣXΣY = (41)(66) = 2 706
-2-
, DISPLAYING DATA SU 4
UNGROUPED DATA/ONGROEPEERDE DATA
We obtained two sets of data (X and Y) from IOP2601 students. The X-scores represent a question from
an assignment and the Y-scores a similar question from the examination paper.
Student X Y
A 1 5
B 2 4
C 2 5
D 2 6
E 3 8
F 4 7
G 5 8
H 7 7
I 7 8
J 8 8
FREQUENCY TABLE/FREKWENSIETABEL
• ASSIGNMENT SCORES/WERKOPDRAGPUNTE
X f
1 1
2 3
3 1
4 1
5 1
7 2
8 1
N = 10
• EXAMINATION SCORES/EKSAMENPUNTE
Y f
4 1
5 2
6 1
7 2
8 4
N = 10
-3-
IOP2601
ORGANISATIONAL RESEARCH METHODS
Workbook _Memo
_________________________________________
, DESCRIPTIVE STATISTICS
BASIC MATHEMATICAL CALCULATIONS S3
SUMMATION NOTATION/SOMMASIE-NOTASIE
We are now working with the first set of ungrouped data that we provided on the first page.
Ons werk nou met die eerste stel data of ongegroepeerde data wat ons op die eerste bladsy verskaf het.
Complete the table by doing all the summation notations (SU 3, Tutorial 24).
Voltooi die tabel deur al die sommasie-notasie (SE 3, Tutorial 24) te doen.
For all the computations you need to do later on, you will only substitute the values in this summation
table in the different formulas. So make sure that you work very accurately and that all your calculations
are correct.
Vir al die berekeninge wat jy later moet doen, is dit net nodig om die waardes in die formules te vervang.
Maak dus seker dat jy akkuraat werk en dat al jou berekeninge korrek is.
X = Score on assignment question/Punte vir werkopdragvraag
Y = Score on examination question/Punte vir eksamenvraag
Student X Y X² Y² XY
A 1 5 1 25 5
B 2 4 4 16 8
C 2 5 4 25 10
D 2 6 4 36 12
E 3 8 9 64 24
F 4 7 16 49 28
G 5 8 25 64 40
H 7 7 49 49 49
I 7 8 49 64 56
J 8 8 64 64 64
N = 10 ΣX = 41 ΣY = 66 ΣX² = 225 ΣY² = 456 ΣXY = 296
(ΣX)² = (41)² = 1 681
(ΣY)² = (66)² = 4 356
ΣXΣY = (41)(66) = 2 706
-2-
, DISPLAYING DATA SU 4
UNGROUPED DATA/ONGROEPEERDE DATA
We obtained two sets of data (X and Y) from IOP2601 students. The X-scores represent a question from
an assignment and the Y-scores a similar question from the examination paper.
Student X Y
A 1 5
B 2 4
C 2 5
D 2 6
E 3 8
F 4 7
G 5 8
H 7 7
I 7 8
J 8 8
FREQUENCY TABLE/FREKWENSIETABEL
• ASSIGNMENT SCORES/WERKOPDRAGPUNTE
X f
1 1
2 3
3 1
4 1
5 1
7 2
8 1
N = 10
• EXAMINATION SCORES/EKSAMENPUNTE
Y f
4 1
5 2
6 1
7 2
8 4
N = 10
-3-
