Tabel Perhitungan Uji Normalitas Kelompok PJBL
Tabel Distribusi Frekuensi Problem Solving
No Interval
Batas bawah
Batas atas
Frekuensi Titik Tengah
xi xi2
fixi fixi2
fi f
fk
1 44-53
43.5 53.5
1 2.5
1 70.5
4970.25 70.5
4970.25 2
54-63 53.5
63.5 4
10 5
85.5 7310.25
342 116964
3 64-73
63.5 73.5
7 17.5
12 100.5
10100.25 703.5
494912.3 4
74-83 73.5
83.5 15
37.5 27
115.5 13340.25
1732.5 3001556
5 84-93
83.5 93.5
12 30
39 130.5
17030.25 1566
2452356 6
94-103 93.5
103.5 1
2.5 40
145.5 21170.25
145.5 21170.25
Jumlah 40
100 6091929
Rata rata 76.67
Median 77.78
Modus 77.78
Varians 150.68
Simpangan baku 12.28
Tabel Perhitungan Uji Normalitas Kelompok
Problem Solving
No Kelas
Interval Batas
Kelas z
FZ Luas Kelas
Interval Fe
Fo Fo-Fe
Fo-Fe² Fo-
Fe²Fe
43.5 -2.70 0.4965
1 44-53
0.0259 1.036
1 -0.036
0.0013 0.00
53.5 -1.89 0.4706
2 54-63
0.1129 4.516
4 -0.516
0.27 0.06
63.5 -1.07 0.3577
3 64-73
0.2551 10.204
7 -3.204
10.27 1.01
73.5 -0.26 0.1026
4 74-83
0.3114 12.456
15 2.544
6.47 0.52
83.5 0.56 0.2088
5 84-93
0.2059 8.236
12 3.764
14.17 1.72
93.5 1.37 0.4147
6 94-103
0.0707 2.828
1 -1.828
3.34 1.18
103.5 2.18 0.4854
Rata-rata 76.67
Simpangan baku 12.28
x2 hitung 4.49
x2 tabel 0.053 9.49
Kesimpulan : Terima HO DATA BERASAL DARI POPULASI YANG
NORMAL
LAMPIRAN 15
Uji Homogenitas Bartlett Pretest
Project Based Learning PJBL, Problem Based Learning PBL, dan Problem Solving
1. Hipotesis yang akan diuji adalah:
Ho: =
= H1: Bukan Ho
2. Jika X²
hitung
X² α , berarti Ho diterima Jika X²
hitung
X² α , berarti Ho ditolak
No Nama
Nilai Pretest
PJBL PBL
Problem solving
1 A
55.56 33.33
66.67 2
B 55.56
44.44 44.44
3 C
33.33 66.67
44.44 4
D 44.44
55.56 44.44
5 E
44.44 11.11
66.67 6
F 44.44
66.67 44.44
7 G
55.56 55.56
55.56 8
H 55.56
66.67 55.56
9 I
11.11 33.33
11.11 10
J 22.22
33.33 66.67
11 K
11.11 44.44
33.33 12
L 33.33
66.67 33.33
13 M
55.56 44.44
55.56 14
N 55.56
22.22 55.56
15 O
33.33 11.11
33.33 16
P 22.22
66.67 55.56
17 Q
44.44 33.33
55.56 18
R 33.33
55.56 33.33
19 S
33.33 33.33
55.56 20
T 33.33
33.33 66.67
No Nama
Nilai Pretest
PJBL PBL
Problem solving
21 U
44.44 22.22
44.44 22
V 44.44
33.33 55.56
23 W
55.56 44.44
55.56 24
X 66.67
33.33 66.67
25 Y
33.33 22.22
66.67 26
Z 22.22
33.33 55.56
27 AB
33.33 22.22
55.56 28
AC 33.33
22.22 33.33
29 AD
55.56 22.22
44.44 30
AE 33.33
44.44 33.33
31 AF
44.44 33.33
44.44 32
AG 66.67
44.44 33.33
33 AH
22.22 44.44
33.33 34
AI 33.33
33.33 55.56
35 AJ
44.44 44.44
55.56 36
AK 55.56
55.56 55.56
37 AL
55.56 22.22
33.33 38
AM 44.44
55.56 44.44
39 AN
22.22 33.33
44.44 40
AO 44.44
44.44 22.22
41 AP
33.33 44.44
Jumlah 1666.66
1633.32 1911.11
Rata-rata 40.65