B. Kelompok Kontrol
No Nama Siswa Nilai
1 A 50 2 B 60
3 C 40 4 D 45
5 E 30 6 F 20
7 G 40 8 H 20
9 I 50 10 J 30
11 K 65 12 L 45
13 M 60 14 N 75
15 O 55 16 P 10
17 Q 20 18 R 25
19 S 35 20 T 60
21 U 45 22 V 50
23 W 35 24 X 45
25 Y 55 26 Z 55
27 AA 30 28 BB 65
29 CC 40 30 DD 60
31 EE 50 32 FF 35
33 GG 45 34 HH 40
35 II 65 36 JJ 70
Lampiran 15
PERHITUNGAN DAFTAR DISTRIBUSI FREKUENSI, MEAN, MEDIAN, MODUS, VARIANS, SIMPANGAN BAKU, KEMIRINGAN DAN
KURTOSIS KELOMPOK EKSPERIMEN A.
Distribusi Frekuensi
1. Banyak data n = 36
2. Perhitungan Rentang
R = X
maks
- X
min
= 70 - 20 =
50
3. Perhitungan Banyak Kelas
K = 1 + 3,3 log n = 1 + 3,3 log 36
= 1 + 3,3 1,56 = 1 + 5, 14
= 6,14
≈ 7
4. Perhitungan Panjang Kelas
8 14
, 7
7 50
≈ =
= =
P P
P K
R P
Tabel Distribusi Frekuensi Nilai tes Eksperimen
interval Bb
Ba fi Fk
Xi xi2
fixi fixi2
xi ‐x
xi ‐x4
fxi ‐x4
20 ‐27 19.5 27.5 2 2 23.5
552.25 47
1104.5 ‐30.2
831816.96 1663633.92
28 ‐35 27.5 35.5 3 5 31.5
992.25 94.5
2976.75 ‐22.2
242891.27 728673.80
36 ‐43 35.5 43.5 3 8 39.5
1560.25 118.5
4680.75 ‐14.2
40658.69 121976.07
44 ‐51 43.5 51.5 7 15 47.5
2256.25 332.5 15793.75
‐6.2 1477.63
10343.44 52
‐59 51.5 59.5 6 21 55.5 3080.25
333 18481.5
1.8 10.50
62.99 60
‐67 59.5 67.5 8 29 63.5 4032.25
508 32258
9.8 9223.68
73789.45 68
‐75 67.5 75.5 7 36 71.5 5112.25
500.5 35785.75 17.8
100387.586 702713.10 Jumlah
17585.75 1934
111081 3301192.76
B. Perhitungan Mean
7 ,
53 36
1934 =
= =
∑ ∑
i i
i
f x
f x
C. Perhitungan Median
5 ,
55 6
15 18
8 5
, 51
2 1
= ⎟
⎠ ⎞
⎜ ⎝
⎛ −
+ =
⎟ ⎟
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎜ ⎜
⎝ ⎛
− +
= f
F n
P b
M
e
D. Perihtungan Modus
8 ,
64 3
, 5
5 ,
59 1
2 2
8 5
, 59
2 1
1
= +
= ⎟
⎠ ⎞
⎜ ⎝
⎛ +
+ =
⎟⎟ ⎠
⎞ ⎜⎜
⎝ ⎛
+ +
= b
b b
P b
M
o
E. Perhitungan Varians
2 ,
205 =
1260 258560
1260 3740356
3998916 1
36 36
1934 111081
36 1
2 2
2 2
= −
= −
− =
− −
=
∑ ∑
n n
x f
x f
n s
i i
i i
F. Perhitungan simpangan baku
32 .
14 2
, 205
= =
s
G. Perhitungan Kemiringan
77 ,
32 ,
14 1
, 11
32 ,
14 8
, 64
7 ,
53
− =
− =
− =
− =
s M
x S
o k
Karena kemiringan negatif maka modelnya miring ke kiri.
H. Perhitungan KetajamanKurtosis
18 ,
2 6
, 42050
8 ,
91699 32
, 14
76 ,
3301192 36
1 1
4 4
4 4
= =
= −
=
∑
s x
x f
n
i
α
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