Table 1.4 Score of Frequency Distribution of the Post-test of the Controlled Class
No. Interval Low Class Boundary
Up Class Boundary
X
i
f
i
f
k
X
i 2
f
i.
X
i
f
i.
X
i 2
1. 60-63
59.5 63.5
61.5 4
4 3782.25
246 15129
2. 64-67
63.5 67.5
65.5 2
6 4290.25
131 8580.5
3 68-71
67.5 71.5
69.5 3
9 4830.25
208.5 14490.75
4. 72-75
71.5 75.5
73.5 9
17 5402.25
661.5 48620.25
5. 76-79
75.5 79.5
77.5 3
21 6006.25
232.5 18018.75
6. 80-83
79.5 83.5
81.5 9
30 6642.25
733.5 59780.25
30 2213
164619.5
6. Mean
M =
∑ ∑
= = 73.76
7. Variance S
2
S
2
=
∑
= =
= = 47.37
8. Standard Deviation S
d
S
d
= √
= √
= 6.88
APPENDIX 3 Normality of Pre-test
A. Experimental Class Pre-test Calculation
The formulation: Z
i
=
̅
X = the students’ score from the experimental class interval
̅ = the mean score of experimental group class pre-test
= standard of deviation
FZ
i
= Z
i
value on Z table SZ
i
= FZ
i
-SZ
i
= the difference value of FZ
i
and SZ
i
Table 2.1 Normality of Pre-test of the Experimental Class No X
f Z
i
FZ
i
f
k
SZ
i
FZ
i
-SZ
i
1 53
5 -1.74
0.0409 5
0,1666 0,1257
2 60
4 -0.88
0.1894 9
0.3000 0,1106
3 65
4 -0.26
0,3974 13
0,4333 0,0359
4 67
3 -0.01
0,496 16
0,5333 0,0373
5 70
4 0.35
0,6368 20
0,6666 0,0298
6 75
5 0.96
0,8289 25
0,8333 0,0044
7 77
2 1.21
0,8869 27
0.9000 0,0131
8 80
3 1.58
0,9429 30
1.0000 0,0571
B. Controlled Class Pre-test Calculation
The formulation: Z
i
=
̅
X = the students’ score from the controlled class interval
̅ = the mean score of controlled class pre-test
= standard of deviation
FZ
i
= Z
i
value on Z table SZ
i
= FZ
i
-SZ
i
= the difference value of FZ
i
and SZ
i
Table 2.2. Normality Pre-test of the Controlled Class No X
f Z
i
FZ
i
f
k
SZ
i
FZ
i
-SZ
i
1 57
3 -1,58
0,0571 3
0,1 0,0429
2 63
5 -1,19
0,117 7
0,2333 0,1163
3 67
5 -0,8
0,2119 9
0,3 0,0881
4 68
3 -0,15
0,4404 14
0,4666 0,0262
5 70
4 0,1
0,5398 17
0,5666 0,0268
6 75
5 0,63
0,7357 23
0,7666 0,0309
7 78
2 0,89
0,8133 27
0,9000 0,0867
8 80
3 1,41
0,9207 30
1.0000 0,0793
APPENDIX 4 Normality of Post-test
A. Experimental Class Post-test Calculation
The formulation: Z
i
=
̅
X = the students’ score from the experimental class interval
̅ = the mean score of experimental group class post-test
= standard of deviation
FZ
i
= Z
i
value on Z table SZ
i
= FZ
i
-SZ
i
= the difference value of FZ
i
and SZ
i
Table 2.3. Normality Pos-test of the Experimental Class No X
f Z
i
FZ
i
f
k
SZ
i
FZ
i
-SZ
i
1 67
2 -2.24
0.0125 2
0.0666 0.0541
2 73
2 -1.42
0.0778 4
0.1333 0.0555
3 75
3 -0.76
0.2236 7
0.2333 0.0097
4 77
5 -0.43
0.3336 12
0.4000 0.0664
5 80
6 0.06
0.5239 18
0.6000 0.0761
6 83
5 0.55
0.7088 23
0.7666 0.0578
7 87
4 1.04
0.8508 26
0.8666 0.0158
8 89
3 1.37
0.9147 30
1.0000 0.0850
B. Controlled Class Post-test Calculation
The formulation: Z
i
=
̅
X = the students’ score from the controlled class interval
̅ = the mean score of controlled class post-test
= standard of deviation
FZ
i
= Z
i
value on Z table SZ
i
= FZ
i
-SZ
i
= the difference value of FZ
i
and SZ
i
Table 2.4. Normality Post-test of the Controlled Class No X
f Z
i
FZ
i
f
k
SZ
i
FZ
i
-SZ
i
1 60
3 -2
0.0228 4
0.1333
0.1105
2 67
2 -0.98
0.1635 6
0.2000 0.0365
3 70
5 -0.54
0.2946 9
0.3000 0.0054
4 73
3 -0.25
0.4013 13
0.4333 0.0320
5 75
5 0.18
0.5714 18
0.6000 0.0286
6 77
4 0.61
0.7291 21
0.7000 0.0291
7 80
4 0.90
0.8159 26
0.8666 0.0507
8 83
4 1.34
0.9099 30
1.0000 0.0901