Table 1.2 Score of Frequency Distribution of the Post-test of the Experimental 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. 67-70
66.5 70.5
68.5 2
2 4692.25
274 9384.5
2. 71-74
70.5 74.5
72.5 2
4 5256.25
145 10512.5
3 75-78
74.5 78.5
76.5 8
12 5852.25
612 46818
4. 79-82
78.5 82.5
80.5 6
18 6480.25
483 38881.5
5. 83-86
82.5 86.5
84.5 5
23 7140.25
422.5 35701.25
6. 87-90
86.5 90.5
88.5 7
30 7832.25
619.5 54825.75
∑ 30
2419 196123.5
6. Mean
M =
∑ ∑
= = 80.63
7. Variance S
2
S
2
=
∑
= =
= = 36.94
8. Standard Deviation S
d
S
d
= √
= √
= 6.07
APPENDIX 2 Frequency Distribution of Controlled Class
A. The Calculation of Frequency Distribution, Mean, Variance, and
Standard Deviation of the Pre-test of the Controlled Class
1. The Total of Samples n = 30
2. Score distribution
57 57
57 63
63 63
63 63
67 67
67 67
67 68
68 68
70 70
70 70
75 75
75 75
75 78
78 80
80 80
3. Range R
R = X
max
–X
min
= 80 - 57 = 23
4. The number of class K
K = 1+ 3.3 log n = 1+ 3.3 log 30
= 1+ 3.3 log 1.47 = 1+ 4.85
= 5.85 →6 5.
The length of interval P P =
= = 3.83 → 4
Table 1.3 Score of Frequency Distribution of the Pre-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. 57-60
56.5 60.5
58.5 7
7 3422.25
409.5 23955.75
2. 61-64
60.5 64.5
62.5 2
9 3906.25
125 7812.5
3 65-68
64.5 68.5
66.5 5
14 4422.25
332.5 22111.25
4. 69-72
68.5 72.5
70.5 3
20 4970.25
211.5 14910.75
5. 73-76
72.5 76.5
74.5 6
24 5550.25
447 33301.5
6. 77-80
76.5 80.5
78.5 7
30 6162.25
549.5 43135.75
30 2075
145227.5
6. Mean
M =
∑ ∑
= = 69.16
7. Variance S
2
S
2
=
∑
= =
= = 58.85
8. Standard Deviation S
d
S
d
= √
= √
= 7.67
B. The Calculation of Frequency Distribution, Mean, Variance, and
Standard Deviation of the Post-test of the Controlled Class
1.
The Total of Samples n = 30
2.
Score distribution
60 60
60 67
67 70
70 70
70 70
73 73
73 75
75 75
75 75
77 77
77 77
80 80
80 80
83 83
83 83
3. Range R
R = X
max
–X
min
= 83 - 60 = 23
4. The number of class K
K = 1+ 3.3 log n = 1+ 3.3 log 30
= 1+ 3.3 log 1.47 = 1+ 4.85
= 5.85 → 6 5.
The length of interval P P =
= = 3.83 → 4
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
