45
B. The Data Analysis
To begin the data analysis steps, the writer uses the frequency distribution to describe how the frequency from the two variables; the sanguine
and the phlegmatic group is divided into frequency which is spread systematically, and then the frequency is added to be the total of frequency.
Table 4.6 THE FREQUENCY DISTRIBUTION OF SINGLE DATA
No The Sanguine Students x1
The Phlegmatic Students x2 x1
F x2
F
1 80
1 75
2 2
78 1
70 2
3 75
1 65
2 4
70 4
60 6
5 65
2 6
60 3
12 12
In the table 4.6, everyone can see that the data is called single data distribution because they are such ungrouped data with no interval among
them. And the data are orderly typed by the range of the highest score from the lowest score from both personalities of the students
46
Table 4.7 THE CALCULATION OF THE SANGUINE AND THE PHLEGMATIC STUDENTS
TO THEIR SPEAKING SCORE
No The Sanguine Students
The Phlegmatic Students x1
F x1
2
fx1 fx1
2
x2 f
x2
2
fx2 fx2
2
1 80
1 6400
80 6400
75 2
5625 150
22500 2
78 1
6084 78
6084 70
2 4900
140 19600
3 75
1 5625
75 5625
65 2
4225 130
16900 4
70 4
4900 280
78400 60
6 3600
360 129600
5 65
2 4225
130 16900
6 60
3 3600
180 32400
12 823
145809 12
780 188600
47
After the writer distributed the data through the tables above, henceforth he started the calculation of Standard Deviation finding SD which
is combined to the degree of freedom finding df. The following calculation is the pattern combination.
2
2 1
2 2
2 2
2 1
2 1
2 1
2
n n
n x
x n
x x
S
The statistic pattern starts explaining about S
2
which means this calculation is for Standard Deviation calculation or SD for short. It combines
the two sides of the sanguine group and the phlegmatic group. In the first parentheses can be called by the first Standard Deviation, the SD goes to the
sanguine group and then the second parentheses with plus order belongs to the second Standard Deviation of the phlegmatic group.
The Standard Deviation SD is to standardize the mean which is weak at first, then after using the Standard Deviation it has more stable for its value
of belief or reliability.
1
For the below pattern of the complete pattern above is the degree of freedom, which mixed into one. Simply you can see this pattern,
df = n
1
+n
2
- 2
It is from the original pattern df = n
1
- 1 and df = n
2
- 1
1
Drs. Anas Sudijono, Pengantar Statistik Pendidikan, Jakarta: PT. Raja Grafindo Persada, 1995, p. 143.
48
For now the writer would use the first complete pattern that is mentioned above, he begins calculating the data of table 4.6 by the use of that
pattern in order to get the established final result.
2
2 1
2 2
2 2
2 1
2 1
2 1
2
n n
n x
x n
x x
S
2 12
12 12
780 600
, 188
12 823
809 ,
145
2 2
2
S
22 700
, 50
600 ,
188 08
. 444
, 56
809 ,
145
2
S S
2
= 10330.22
The result of S
2
is successfully done to assist the next calculation in filling in the main calculation in T-test formulation. Right after this is called by
the separated variants pattern which is chosen because of two considerations. They are:
1. The two means referred to two samples which have the same quantity.
2. The variants of the data are not homogeny.
2
The two points of considerations bring the writer to choose the next calculation. The pattern is named the separated variants.
The modified pattern is continued to the calculation of the separated variants, the separated variant pattern is
2
Prof. Dr. Sugiyono, Statistika untuk Penelitian, Bandung: CV Alfabeta, 2008, p. 138.
49
2 2
1 2
2 1
n S
n S
x x
t
First half step is by doing sum of the dual Standard Deviation per n
1
and the dual Standard Deviation per n
2
in quadrate. The sum is the lower pattern of the separated variants.
2 2
1 2
2 1
n s
n s
S
x x
12 22
. 330
, 10
12 22
. 330
, 10
2 1
x x
S 85
. 860
85 .
860
2 1
x x
S 7
. 1721
2 1
x x
S 49
. 41
2 1
x x
S
The first T-test formulation has perfectly finished by calculating of the right side of the pattern. The result is the answer for
2 1
x x
S
Next is the way to calculate the upper pattern from separated variants as the lower pattern has already been got. It becomes the furnishing of the next
step to complete the separated variants pattern.
50
00 .
65 12
780 58
. 68
12 823
2 2
1 1
f x
f x
f x
f x
Soon after the two calculations of the separated variants were treated, now the writer went to the final pattern to answer the t
table
, is the t
observation
or t
o
greater than the t
table
or t
t
.
086 .
49 .
41 58
. 3
49 .
41 00
. 65
58 .
68
2 1
2 1
O O
O x
x O
t t
t S
x x
t
From the value of t
observation
t
o
above is 0.086 with the t
table
= 2.07 see Appendix 7 for
= 5 of significance level and t
table
= 2.82 for the level of significance
= 1.
A. The Data Interpretation
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