lxi Figure 1. Histogram and Polygon of Scores of A
1
2. Scores of the students who are taught using direct instruction A
2
Based on the calculation result of scores of the students who are taught using direct instruction, the highest score achieved by students is 80 and the
lowest one is 50. The range is 30, from the student’s number N =26. The number of class used is 6, and the class width interval used is 5. From the
calculation result statistics, the mean score
___
X achieved by students is 65.11,
the mode score is 60.25, the median score is 64.25 and the standard deviation is
19.29 Appendix 5b
The frequency distribution of scores of the students who are taught using direct instruction on the whole can be seen in table 5 and histogram and polygon
in figure 2. Table.5 Frequency Distribution of Scores of A
2
Class Limit
Class Boundaries Midpoint
i
X Tally
Frequency
i
f Percentage
50-54 49.5-54.5
52 III
3 11.53
56-60 54.5-60.5
58 IIII III
8 23.07
61-65 60.5-65.5
63 II
2 7.69
Histogram and Polygon
1 2
3 4
5 6
7 8
Class Boundaries
62.5 67.5
72.5 77.5
82.5 87.5
92.5 F
r e
q u
e n
c y
lxii 66-70
65.5-70.5 65
IIII 4
15.38 71-75
70.5-75.5 73
III 3
11.53 76-80
75.5-80.5 78
IIII I 6
23.07 26
100
Figure 2. Histogram and Polygon of Scores of A
2
3. Scores of the students who have high linguistic intelligence who are taught
using clustering technique A
1
B
1
Based on the calculation result of scores of the students who have high linguistic intelligence who are taught using clustering technique, the highest
score achieved by students is 92 and the lowest one is 74. The range is 18, from the student’s number N =13. The number of class used is 4, while the
class width interval used is 5. From the calculation result of statistics, the mean score
___
X achieved by students is 82, the mode score is 87.5, the
median score is 85.5 and the standard deviation is 11.64 Appendix 5c Histogram and Polygon
1 2
3 4
5 6
7 8
9
Class Boundaries
49.5 54.5
60.5 65.5
70.5 75.5
80.5 F
r e
q u
e n
c y
lxiii The frequency distribution of scores of the students who are taught
using clustering technique on the whole can be seen in table 6 and histogram and polygon in figure 3.
Table.6 Frequency Distribution of Scores of A
1
B
1
Class Limit
Class Boundaries Midpoint
i
X Tally
Frequency
i
f Percentage
73-77 72.5-77.5
75 IIII
4 30.76
78-82 77.5-82.5
80 II
2 15.38
83-87 82.5-87.5
85 IIII
5 38.46
88-92 87.5-92.5
90 II
2 15.38
13 100
Figure 3. Histogram and Polygon of Scores of A
1
B
1
4. Scores of the students who have low linguistic intelligence who are taught
using clustering technique A
1
B
2
Based on the calculation result of scores of the students who have low linguistic intelligence who are taught using clustering technique, the highest
score achieved by student is 69 and the lowest one is 63. The range is 6, from the student’s number N =13. The number of class used is 4, while the class
Histogram and Polygon
1 2
3 4
5 6
Class Boundaries
72.5 77.5
82.5 87.5
92.5 F
r e
q u
e n
c y
lxiv width interval used is 2. From the calculation result of statistics, the mean
score
___
X achieved by students is 66.4, the mode score is 69, the median
score is 68 and the standard deviation is 4.50Appendix 5d
The frequency distribution of scores of the students who have low linguistic intelligence who are taught using clustering technique on the whole
can be seen in table 7 and histogram and polygon in figure 4. Table.7 Frequency Distribution of Scores of A
1
B
2
Class Limit
Class Boundaries
Midpoint
i
X Tally
Frequency
i
f Percentage
62-63 61.5-63.5
62.5 II
2
15.38
64-65 63.5-65.5
64.5 III
3
23.07
66-67 65.5-67.5
66.5 II
2 15.38
68-69 67.5-69.5
68.5 IIII I
6 46.15
13 100
Figure 4. Histogram and Polygon of Scores of A
1
B
2
5. Scores of the students who have high linguistic intelligence who are taught
using direct instruction A
2
B
1
Histogram and Polygon
1 2
3 4
5 6
7
Class Boundaries
61.5 63.5
65.5 67.5
69.5 f
r e
q u
e n
c y
lxv Based on the calculation result of scores of the students who have
high linguistic intelligence who are taught using direct instruction, the highest score achieved by student is 80 and the lowest one is 69. The range is 11,
from the student’s number N = 13. The number of class used is 4, while the class width interval used is 3. From the calculation result of statistics, the
mean score
___
X achieved by students is 74, the mode score is 71.65, the
median score is 71 and the standard deviation is 10.2 Appendix 5e
The frequency distribution of scores of the students who have high linguistic intelligence who are taught using direct instruction on the whole
can be seen in table 8 and histogram and polygon in figure 5. Table.8 Frequency Distribution of Scores of A
2
B
1
Class Limit
Class Boundaries
Midpoint
i
X Tally
Frequency
i
f Percentage
69-71 68.5-71.5
70 IIII I
6 46.15
72-74 71.5-74.5
73 I
1 7.69
75-77 74.5-77.5
76 II
2 15.38
78-80 77.5-80.5
79 IIII
4 30.76
13 100
Histogram and Polygon
1 2
3 4
5 6
7
Class Boundaries
68.5 71.5
74.5 77.5
80.5 F
r e
q u
e n
c y
lxvi Figure 5. Histogram and Polygon of Scores of A
2
B
1
6. Scores of the students who have low linguistic intelligence who are taught
direct instruction A
2
B
2
Based on the calculation result of scores of the students who have low linguistic intelligence who are taught using direct instruction, the highest
score achieved by student is 63 and the lowest one is 50. The range is 13, from the student’s number N = 13. The number of class used is 4, while the
class width interval used is 4. From the calculation result of statistics, the mean score
___
X achieved by students is 59.5, the mode score is 60.78, the
median score is 60.26 and the standard deviation is 7.18 Appendix 5f.
The frequency distribution of scores of the students who have low linguistic intelligence who are taught direct instruction on the whole can be
seen in table 9 and histogram and polygon in figure 6. Table.9 Frequency Distribution of Scores of A
2
B
2
Class Limit
Class Boundaries
Midpoint
i
X Tally
Frequency
i
f Percentage
49-52 48.5-52.5
50.5 III
1 7.69
53-56 52.5-56.5
54.5 57-60
56.5-60.5 58.5
IIII III 8
61.53 61-64
60.5-64.5 62.5
II 2
15.38 13
100
lxvii
Figure 6. Histogram and Polygon of Scores of A
2
B
2
B. Normality and Homogeneity Test
