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APPENDIX 1 Frequency Distribution of Experimental Class
A. The Calculation of Frequency Distribution, Mean, Variance, and
Standard Deviation of the Pre-test of the Experimental Class
1. The Total of Samples n = 30
2. Score distribution
53 53
53 53
53 60
60 60
60 65
65 65
65 67
67 67
70 70
70 70
75 75
75 75
75 77
77 80
80 80
3. Range R
R= X
max
–X
min
= 80 - 53 = 27
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 =
= = 4.50 → 5
Table 1.1 Score of Frequency Distribution of the Pre-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. 53-57
52.5 57.5
55 5
5 3025
275 15125
2. 58-62
57.5 62.5
60 4
9 3600
240 14400
3 63-67
62.5 67.5
65 7
16 4225
455 29575
4. 68-72
67.5 72.5
70 4
20 4900
280 19600
5. 73-77
72.5 77.5
75 7
27 5625
525 39375
6. 78-82
77.5 82.5
80 3
30 6400
240 19200
∑ 30
2015 137275
6. Mean
M =
∑ ∑
= = 67.16
7. Variance S
2
S
2
=
∑
= =
= = 66.69
8. Standard Deviation S
d
S
d
= √
= √
= 8.10 B.
The Calculation of Frequency Distribution, Mean, Variance, and Standard Deviation of the Post-test of the Experimental Class
1. The Total of Samples n = 30
2. Score distribution
67 67
73 73
75 75
75 77
77 77
77 77
80 80
80 80
80 80
83 83
83 83
83 87
87 87
87 89
89 89
3. Range R
R = X
max
–X
min
= 89 - 67 = 22
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 =
= = 3.66 → 4
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
