M - 1
Universitas Kristen Maranatha
LAMPIRAN M
PERHITUNGAN UJI KENORMALAN, KESERAGAMAN DAN KECUKUPAN DATA
1. PANTAT POPLITEAL PPO
2. TINGGI POPLITEAL TPO
3. TINGGI BAHU DUDUK TBD
4. TINGGI SIKU DUDUK TSD
5. LEBAR BAHU LB
6. TINGGI MATA DUDUK TMD
7. LEBAR PINGGUL LP
8. LEBAR SANDARAN LS
9. TEBAL PAHA TP
10. RENTANGAN TANGAN RT
11. PANJANG LENGAN BAWAH PLB
Universitas Kristen Maranatha
M.1. Pantat Popliteal PPO
M.1.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
3 037
. 3
8.593 3
. 40
66.4 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 40.3
40.25 -2.01044
0.02219 0.02219 4.4384
40.3 - 43.2 40.25 - 43.25
12 -2.01044 -1.32588 0.02219 0.09244 0.07025 14.0495
12 18.48787 2.276763
43.3 - 46.2 43.25 - 46.25
39 -1.32588 -0.64132 0.09244 0.26066 0.16822 33.6436
39 33.64356 0.852807
46.3 - 49.2 46.25 - 49.25
66 -0.64132 0.04324 0.26066 0.51725 0.25659 51.3177 66 51.31768
4.200709 49.3 -
52.2 49.25 - 52.25 44 0.04324 0.7278 0.51725 0.76663 0.24939 49.8775
44 49.87752 0.692601
52.3 - 55.2 52.25 - 55.25
25 0.7278 1.41237 0.76663 0.92108 0.15445 30.8891 25 30.88913
1.122784 55.3 -
58.2 55.25 - 58.25 6 1.41237 2.09693 0.92108
0.982 0.06092 12.1843 58.3 -
61.2 58.25 - 61.25 2 2.09693 2.78149 0.982 0.99729 0.01529 3.05887
61.3 - 64.2 61.25 - 64.25
5 2.78149 3.46605 0.99729 0.99974 0.00244 0.48829 64.3 -
67.2 64.25 - 67.25 1 3.46605 4.15061 0.99974 0.99998 0.00025 0.04951
67.2 67.25
4.15061 0.99998
1 1.7E-05
0.00332 14 15.78425
0.201691
200 200
200 200
9.347354
Lampiran M M - 3
Universitas Kristen Maranatha
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri pantat popliteal telah mengikuti
distribusi normal.
M.1.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 47 53.3
46.4 47.3
50.1 48.4 51.2
47.1 48.5 62
50.13 2
47.5 48.1 41.6 46.1 43.8 46.6
47.3 48.3 52.7 54 47.6
3 48 62
54.4 43.5
46.6 44
46 45.5 46.5
47 48.35
4 49 47.2 45.8 45 51.8
49 49.4 43 51 57.2 48.84 5
49 48.9 46 43.3 47.3
50 51.1 45 49 47.5 47.71 6 50
44.5 46.5
50.6 47.6 48.5
54 43.1 53.5
52.3 49.06
7 49 51.6
45.4 49.2
48.3 40.3 45
47.8 62
53 49.16
8 56 51 51.2
46.3 50.5
47 52.5 42 49.3 52 49.78 9 49
52 46.5
49.5 52.7
56 47.8
44.4 42.7 48
48.86 10
51 53.5 48.6 48.5 45.5 45.1
49.4 56 43.5 47.2 48.83 11
51 45.9 50.2 50.2 54 50.5
45 52 52.5 43.8 49.51 12
46 45.3 51 49.5 48 51.8
47.6 50.5 45.5 48 48.32 13
42 48.4 43 42.4 44 48 52.5 50 62 59.2 49.15
14 55 50.7 51 42.6
48 47.8 60 58 47 44.9 50.5
15 53 49.8 52 51.2
46 45.8 51 47 50.3 52.3 49.84
16 47.6 48.5
58 45 52.5 48.8
52 54.4 49.5
51.2 50.75
17 54.5 54.3 66.4 47.1
45.5 46.8 43.6 47.2 43.8 47
49.62 18
49 53.1 53.4 42.3 50 47.8
44 46 52 45 48.26 19
50.5 48.1 55.1 48.5 46.5 44.7
46.4 48.2 47
49 48.4
20 44.7 51.1 46.3 41 62 45.6
46.8 44.2 50.1 53.6 48.54 Total
981.21 Rata-
rata 49.0605
Lampiran M M - 4
Universitas Kristen Maranatha
Peta BKA-BKB PPO
45 46
47 48
49 50
51 52
1 3
5 7
9 11
13 15
17 19
Subgrup Ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.1.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
7027 .
12 1
. 9812
1 .
9812 4
. 485208
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.2. Tinggi Popliteal TPO
M.2.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
2 .
2 176
. 2
8.593 5
. 33
52.2 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 33.5
33.45 -2.92549
0.00172 0.00172 0.34392 33.5 -
35.6 33.45 - 35.65 3 -2.92549
-2.08937 0.00172 0.01834 0.01662 3.32354
35.7 - 37.8 35.65 - 37.85
22 -2.08937 -1.25324
0.01834 0.10506 0.08672 17.3444 25 21.01185
0.75697 37.9 -
40 37.85 - 40.05 44 -1.25324
-0.41711 0.10506
0.3383 0.23324 46.6477 44 46.64771
0.15028 40.1
- 42.2 40.05
- 42.25
58 -0.41711 0.41901 0.3383 0.6624 0.3241 64.8198
58 64.8198 0.71752 42.3 -
44.4 42.25 - 44.45 62 0.41901 1.25514 0.6624 0.89529 0.23289 46.5778
62 46.57783 5.10636
44.5 - 46.6 44.45 - 46.65
7 1.25514 2.09127 0.89529 0.98175 0.08646 17.2924 46.7 -
48.8 46.65 - 48.85 3 2.09127 2.92739 0.98175 0.99829 0.01654 3.30857
48.9 - 51 48.85 - 51.05
0 2.92739 3.76352 0.99829 0.99992 0.00163 0.32507 51.1 -
53.2 51.05 - 53.25 1 3.76352 4.59965 0.99992
1 8.2E-05
0.01634 53.2
53.25 4.59965
1 1
2.1E-06 0.00042
11 20.9428 4.72044
200 200 200
200 11.4516
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V
, 2 α
χ Æ data-data anthropometri tinggi popliteal telah mengikuti
distribusi normal.
M.2.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 42.5 38.9 41.6 39 41.3 37 43.5 43.1 43.4 43
41.33 2
42.2 42.5 40.8 39 39.4 37.5 45 44.2 46.1 37.1
41.38 3 41
42 37.2
41.1 37.2
44 40.2 48.8 48.5
42.2 42.22
4 41.8 33.5 42.5 42.3
38.4 45 42.3 35.3 46 44.1
41.12 5
39 36.5 42 40 41.5 39 43.3 40 42.2 42.5 40.6
6 36.3 45.5 37.2 39.5
38.5 44 37.6 40 40.2 41.5
40.03 7
37.1 37.3 52.2 39 42.5 44 43.4 40 40.3 40.8 41.66
8 42.5 41 39 40.3
40.3 44 42.5 43.3 40.8 41.3 41.5 9
42.5 41.2 41.5 38 37.5 39 43 39.4 42
44 40.81
10 42.1 37.1 37.5 37 43.4 43 42.4 39.5
41 41
40.4 11 42 40 40 41 37.1 43 44
42.2 43.5 44 41.68 12 40
41.5 41.3
41 38
42.5 38.6 41.5 36.3 43.5
40.42 13
40.2 42.5 38.9 37.5 38 44 44 38.4 42.5 41
40.7 14
42.4 40.2 40.2 38 40 47 43.1 38 42
43 41.39
15 39.3 36.5 41 41.5 41.5 45 43.2
42 43 42 41.5
16 42.6 39.5 39.5 40.5
38.5 43 40.1 43 40 42.5
40.92 17
40 37.2 40.8 39 40.3 43.4 43.8 42 41.6 43.5 41.16
18 41.2 39.1 40 40 43 42.5 44.8
42 40 44 41.66 19 41.5 41.5 43.9 39 38.5 44 42.9
42 43.1 44 42.04
20 41.8 36.7 35.3 39.8
43.8 43 42.3 43.1 41 37.5
40.43 Total
822.95 Rata-
rata 41.1475
Universitas Kristen Maranatha
Peta BKA-BKB TPO
38.5 39
39.5 40
40.5 41
41.5 42
42.5 43
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
Subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.2.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
50965 .
6 5
. 8229
51 .
8229 1
. 340001
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.3. Tinggi Bahu Duduk TBD
M.3.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
9 .
1 873
. 1
8.593 9
. 51
68 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 51.9
51.85 -2.53618
0.0056 0.0056 1.12071
51.9 - 53.7 51.85 - 53.75
5 -2.53618 -1.87612 0.0056 0.03032 0.02472 4.94315 5 6.06386
0.18665 53.8 -
55.6 53.75 - 55.65 14 -1.87612 -1.21607 0.03032 0.11198 0.08166 16.3322
14 16.3322 0.33302
55.7 - 57.5 55.65 - 57.55
34 -1.21607 -0.55601 0.11198 0.2891 0.17712 35.4244
34 35.4244 0.05727
57.6 - 59.4 57.55 - 59.45
63 -0.55601 0.10405 0.2891 0.54143 0.25233 50.4663 63 50.4663
3.11285 59.5 -
61.3 59.45 - 61.35 45 0.104046
0.7641 0.54143 0.7776 0.23616 47.2326
45 47.2326 0.10553
61.4 - 63.2 61.35 - 63.25
24 0.764101 1.42416 0.7776 0.9228 0.1452 29.0406
24 29.0406 0.87489
63.3 - 65.1 63.25 - 65.15
7 1.424156 2.08421 0.9228 0.98143 0.05863 11.7261
65.2 - 67 65.15 - 67.05
5 2.084212 2.74427 0.98143 0.99697 0.01554 3.10761
67.1 - 68.9 67.05 - 68.95
3 2.744267 3.40432 0.99697 0.99967
0.0027 0.54013 68.9
68.95 3.404322
0.99967 1
0.00033 0.06634 15 15.4401
0.01255 200
200 200 200 4.68276 V = k – r – 1
= 9 – 2 – 1 = 6
α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri tinggi bahu duduk telah
mengikuti distribusi normal.
M.3.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 55 63
63.5 54
59.6 57.5 59.5 58.1 59.4
59.2 58.88
2 56.9 58 60.7
59.2 59.3 58.7 59.5 59.7
61.5 56.9 59.04 3
52.3 55 59.2 59.6
61.8 64.6 59.6 60.6 60.5 57.8 59.1
4 55.1 56.7 66.9
60.2 60 61.9 59.8 60.6
57.9 57.8 59.69 5
56.6 62.6 63.1 59.2
61.8 59.4 59.6 57.6 57.7 62.6 60.02
6 55 57.4 66 58.5
59.3 62 58 60.2
56.8 58.1 59.13 7
56.1 58 54.5 55.5
65.6 59.4 57.5 59 60.3 58.9 58.48
8 67.5 64.3 54.4
59 59.6 58.6 58 59.5
56.9 57 59.48
9 53.5 66.7 62.5
56.2 59 59.7 56.7 58.7
58.4 57 58.84
10 54.5 54.4
57 61.5
59.1 57.5 58.9 56.7 63
57.9 58.05
11 63 60
51.9 59.6
59.9 58.5 58.5 56.8 59.1
62.5 58.98
12 62 67
61.3 56.4
56.5 56.6 58.6 57.8 58.8
57.9 59.29
13 62.5 56.3 55.1
59.8 59.4
60 57.7 59.8 59.8 60
59.04 14 68
57.2 58.7
57.4 61.9 57.9 56.6 59.7
59.9 58.4
59.57 15 60
53.3 64.1
57 56.5 56.5 58.1
62 58
60 58.55
16 59 55.2 56.3
56.3 59.8 58.8
61 58.2 60.4 57.9 58.29
17 55 58.2 61.1
59.7 58.4
60 59.6 58.2 58.3 64 59.25
18 55 59.1 57.2
61.8 60.5 61.5
59 60.3 57.5 60.5 59.24
19 59 67.6
62.5 59.4
56.4 57.6 59.3 59.7 59
57.1 59.76
20 65 52 63 58.3 59.5 59.2 59.6 61.6
61.5 63.6 60.33 Total
1183.01 Rata-
rata 59.1505
Universitas Kristen Maranatha
Peta BKA-BKB TBD
56.5 57
57.5 58
58.5 59
59.5 60
60.5 61
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgroup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.3.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
77027 .
3 1
. 11830
1 .
11830 3
. 701405
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.4. Tinggi Siku Duduk TSD
M.4.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
8 .
2 828
. 2
8.593 7
. 12
37 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 12.7
12.65 -2.49943
0.00622 0.00622 1.24394 12.7 -
15.4 12.65 - 15.45 7 -2.49943
-1.7612 0.00622 0.0391 0.03288 6.57649
7 7.82042 0.08607
15.5 - 18.2 15.45 - 18.25
23 -1.7612 -1.02297 0.0391 0.15316 0.11406 22.8116
23 22.8116 0.00156
18.3 - 21 18.25 - 21.05
49 -1.02297 -0.28475
0.15316 0.38792 0.23476 46.9519 49 46.9519
0.08934 21.1 -
23.8 21.05 - 23.85 62 -0.28475
0.45348 0.38792 0.6749 0.28698 57.3959
62 57.3959 0.36932
23.9 - 26.6 23.85 - 26.65
43 0.45348 1.19171 0.6749 0.88331 0.20841 41.6826 43 41.6826
0.04163 26.7 -
29.4 26.65 - 29.45 6 1.19171 1.92994 0.88331 0.97319 0.08988
17.976 6 17.976 7.97871
29.5 - 32.2 29.45 - 32.25
7 1.92994 2.66817 0.97319 0.99619 0.02299 4.59875 32.3 -
35 32.25 - 35.05 2 2.66817 3.4064 0.99619 0.99967 0.00348 0.69683
35.1 - 37.8 35.05 - 37.85
1 3.4064 4.14462 0.99967 0.99998 0.00031 0.06243
37.8 37.85
4.14462 0.99998
1 1.7E-05
0.00341 10 5.36142
4.01319 200
200 200 200 12.5798
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri tinggi siku duduk telah mengikuti
distribusi normal.
M.4.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 23 19.2 21 29.6
22 19 19.6 19.5 29.5 27.4 22.98 2
21.4 22.5 22 24.6 23 27.7 21.4 18.5 20.4 25 22.65
3 25 19.4 17 22.7 16.4 17.6 20.5 25.5 25.6 16 20.57
4 20 20.7 14 16.5 19.5 27.5 18.5
23 25.6 23.5 20.88 5
18.5 23.6 23 24.5 22 26 12.7
16 20.8 26.1 21.32 6
18 18.4 20 21.5 18 15 25 19 31.3 24.2 21.04
7 22.8 22.3 21 26 21.9
28 21 20.5 16.5 26.6 22.66 8
23.2 22 29.5 19 20 23 24.5 24.5 22.5 25.6 23.38
9 21.9 20 26 25.3 14.4 17.5
35 20.6 22.5 26.5 22.97 10 23.6 24 30 18 17.4 16.2 22.5 23.5 20.5
18.7 21.44
11 27 21.5 24.1 15.8
23 18 18.4 18 22.3 30 21.81
12 21 27 22.4 19.4 37 17 19.2 22.8
22 26 23.38 13
25 18 24.2 14.4 22.5 21.1 23 23.2
20 30 22.14 14 26 25 26 18.5
23 21.3 22.5 21.9 24 14 22.22
15 20 20 25.2 20.2 23.7 22.1
21 23.6 21 24.6 22.14
16 21 23.8
22.4 14.6 20.6 22.9 20.4 19.2 22
22.7 20.96
17 24 23.5 22.5 26.4 25.2 16.2
23 22.5 17 16.5 21.68
18 20 26 24.8 17.1 23.6
25 21.4 19.4 29.6 24.5 23.14 19 22.5 18 22 25.9 25.2 20.5
25 20.7 23 21.5 22.43
20 21.5 22.5 22.4 26.5
20 25.6 20 23.6
20 26 22.81
Total 442.6
Rata- rata
22.13
Universitas Kristen Maranatha
Peta BKA-BKB TSD
15 16
17 18
19 20
21 22
23 24
25
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.4.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
7644 .
46 4426
4426 2
. 100810
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.5. Lebar Bahu LB
M.5.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
4 .
5 376
. 5
8.593 30
2 .
76 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 30
29.95 -2.424
0.00768 0.00768 1.53517 30 -
35.3 29.95 - 35.35 10 -2.424 -1.2833 0.00768 0.09969 0.09201 18.4025
10 19.93768 4.95331
35.4 - 40.7 35.35 - 40.75
81 -1.2833 -0.1427 0.09969 0.44327 0.34358 68.7161 81 68.71613
2.19589 40.8 -
46.1 40.75 - 46.15 88 -0.1427 0.99796 0.44327 0.84085 0.39758 79.5162
88 79.51619 0.90516
46.2 - 51.5 46.15 - 51.55
16 0.99796 2.1386 0.84085 0.98377 0.14292 28.5832
51.6 - 56.9 51.55 - 56.95
4 2.1386 3.27924 0.98377 0.99948 0.01571 3.14269 57 -
62.3 56.95 - 62.35 0 3.27924 4.41989 0.99948
1 0.00052 0.10311
62.4 - 67.7 62.35 - 67.75
0 4.41989 5.56053 1
1 4.9E-06
0.00099 67.8 -
73.1 67.75 - 73.15 0 5.56053 6.70118
1 1
1.3E-08 2.7E-06
73.2 - 78.5 73.15 - 78.55
1 6.70118 7.84182 1
1 1E-11 2.1E-09
78.5 78.55
7.84182 1
1 2.2E-15
4.4E-13 21 31.83 3.68485
200 200
200 200
11.7392 V = k – r – 1
= 9 – 2 – 1 = 6
α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri lebar bahu telah mengikuti
distribusi normal.
M.5.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 40.5 46 39.5 35.2 39 39 42 37 42.5
39.5 40.02 2
36.2 48.4 52.6 43 43 36 42.2 36.4 35.8 41.4
41.5 3
35 46.7 43.5
42 35 37 50.4 43.1 40 43.3 41.6
4 46.1 41.7 42 47.5 44.5
38 42.4 42.9 36 49.5 43.06
5 42 35 39 43 38 41 38.1
40 41.6 53 41.07 6
42 76.2 38 40 39 38 38.6 35 42 45.1 43.39
7 44 36.3 44.2
38 41 42.5 43.7 40.2 38.4 43.2 41.15 8
42 43 39 42.5 42 43 43 39.6 34.5
42.3 41.09 9
40 43 35.5 34 45.5
52 39.6 41.6 43 42 41.62
10 40.3 36.8 36.7 44.5 44.1
46 45.6 43.4 42.6 42 42.2
11 37 37 50 38.3 37.1
46 37.7 44 39.9 45
41.2 12
41.8 46.5 42.5 36 43 38 37.6 37.2 40.8 41
40.44 13
46 39.6 41 38.5 39.1 41 44.2 39.2 43.3 46.4 41.83
14 38.7 40 40.5 42 39 50 45.4
43 39.7 39.4 41.77 15
51 35.5 36 41 40.5 44.5 41 43 40.9 40.5 41.39
16 42.5 36 40 30 40.6 38 37 43 45.5 43 39.56
17 39 41.4 50.4 34.5
39 47 39 42.5 44.4 47 42.42 18
41 42.5 36 46.2 38 39 35.6
43 38 36.5 39.58 19 37 38.5
44.6 37.5 42 38 40 43 49 37.3 40.69
20 41.5 49.4 39.1 45 43.2
34 53.1 43 42.3 38.7 42.93
Total 828.51
Rata- rata
41.4255
Universitas Kristen Maranatha
Peta BKA-BKB LB
37 38
39 40
41 42
43 44
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.5.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
7919 .
20 1
. 8285
1 .
8285 5
. 347674
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.6. Tinggi Mata Duduk TMD
M.6.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
1 .
3 142
. 3
8.593 5
. 62
5 .
89 k
min data
max data
c ≈
= −
= −
=
Interval kelas
Batas kelas Oi
Z1 Z2
PZ1 PZ2
PZ2 - PZ1
Ei Oi gab
Ei gab
Eig Eig
Oig
2
−
62.5 62.45
-2.58813 0.00482 0.00482
0.965 62.5 - 65.5 62.45 - 65.55
4 -2.58813 -1.9574 0.00482 0.02515 0.02033 4.06506 4 5.03005 0.21093
65.6 - 68.6 65.55 - 68.65 12 -1.9574 -1.32667 0.02515 0.09231 0.06716 13.4318 12 13.4318 0.15263
68.7 - 71.7 68.65 - 71.75 35 -1.32667 -0.69594 0.09231 0.24323 0.15092 30.1848 35 30.1848 0.76812
71.8 - 74.8 71.75 - 74.85 46 -0.69594 -0.06521 0.24323 0.474 0.23077
46.154 46
46.154 0.00051 74.9 - 77.9 74.85 - 77.95 40 -0.06521 0.56552 0.474 0.71414 0.24014 48.0273
40 48.0273 1.34168 78 - 81 77.95 - 81.05 43 0.56552
1.19625 0.71414 0.8842 0.17006 34.0121 43 34.0121 2.37513
81.1 - 84.1 81.05 - 84.15 13 1.19625 1.82698 0.8842 0.96615 0.08195 16.3896
13 16.3896 0.70103 84.2 - 87.2 84.15 - 87.25
6 1.82698 2.45771 0.96615 0.99301 0.02686 5.37201
87.3 - 90.3 87.25 - 90.35 1 2.45771
3.08844 0.99301 0.99899 0.00599 1.19704 90.3
90.35 0 3.08844
0.99899 1
0.00101 0.20122 7 6.77027 0.0078
200 200
200 200
5.55784 V = k – r – 1
= 9 – 2 – 1 = 6
α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri tinggi mata duduk telah
mengikuti distribusi normal.
M.6.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 79 68 69.9 80.9
71 71 76.5 81 76 73.8 74.71
2 69 70.1 72.2 80.7
74 72 66.5 79.7 73.8 75 73.3
3 80 84.2 73.6
76 66.6 70 76 80.1 68.5 70.4 74.54
4 79 81.5 76.8
69 83.6 72 76 86.5 67.4 70 76.18
5 75 75.6 72 73.9 81.1 70.6
82 76.5 69 69 74.47
6 81 72.3 81 77 78.9
71 62.5 70 81 72 74.67
7 81 81.2 72 76 80.8 76.5 71.3 71.6 78.4 79.2 76.8
8 79 77.4 78.3 63.5
74 83.5 81.5 73.2 72 80 76.24
9 82 78 71.5 78.5
81 71 71 84.2 73.3 72 76.25 10
76 72.8 77 77.5 76 71 71.1
75 71.2 75.2 74.28 11
78 76 78.4 77.5 65.8 75 79.5
80 79 63.7 75.29 12
77 73.5 72.2 74.5 85 79 82.5
78 74.2 72.4 76.83 13
79 80.1 73 74.3 70 72.5 74.3 72.5
76 69.8 74.15 14
78 74.1 81 73 80 80.7 77.5 73.5 72 66.5 75.63
15 84 76.5 78 76.5
87 77 69 81.2 72 68.2 76.94
16 73 71.2 86 75 77.3 75.5 70.2 73.2
72 78.1 75.15 17
78.5 78.8 76.8 76.6 89.5 68.5 71.8 70.7 73 70.7 75.49
18 73 84 83 73 77 67.5 70.4 76.8 71 71.4 74.71
19 74 71.3 79 67.9
81 74.5 76.8 76.5 72 68
74.1 20
64 77.4 74.3 70.3 74 78.7 79.2
77 71.9 70 73.68 Total
1503.41 Rata-
rata 75.1705
Universitas Kristen Maranatha Peta BKA-BKB TM D
70 71
72 73
74 75
76 77
78
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.6.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
80589 .
6 1
. 15034
1 .
15034 1134928
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.7. Lebar Pinggul LP
M.7.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
1 .
3 141
. 3
8.593 24
51 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 24
23.95 -3.51011
0.00022 0.00022 0.0448
24 - 27 23.95 - 27.05
2 -3.51011 -2.62771
0.00022 0.0043 0.00407 0.81483
27.1 - 30.1 27.05 - 30.15
9 -2.62771 -1.74531
0.0043 0.04047 0.03617 7.23351 11 8.093133
1.04408 30.2 -
33.2 30.15 - 33.25 20 -1.74531
-0.8629 0.04047 0.19409 0.15363 30.7259 20 30.72586
3.74421 33.3 -
36.3 33.25 - 36.35 78 -0.8629 0.0195 0.19409 0.50778 0.31368 62.7367
78 62.73666 3.71345
36.4 - 39.4 36.35 - 39.45
56 0.0195 0.9019 0.50778 0.81645 0.30867 61.7334 56 61.73341
0.53248 39.5 -
42.5 39.45 - 42.55 30 0.9019 1.7843 0.81645 0.96281 0.14637 29.2735
30 29.27352 0.01803
42.6 - 45.6 42.55 - 45.65
2 1.7843 2.66671 0.96281 0.99617 0.03336 6.67143
45.7 - 48.7 45.65 - 48.75
2 2.66671 3.54911 0.99617 0.99981 0.00364 0.72733 48.8 -
51.8 48.75 - 51.85 1 3.54911 4.43151 0.99981
1 0.00019 0.03773
51.8 51.85
4.43151 1
1 4.7E-06
0.00094 5 7.437423
0.7988 200
200 200 200
9.85106 V = k – r – 1
= 9 – 2 – 1 = 6
α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri lebar pinggul telah mengikuti
distribusi normal.
M.7.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 35 39 31 35.4 34.6
36 40.5 36.4 28.9 33.6 35.04
2 33 36.7 34.2
32 35.7 35.5 36 35.5
41 41 36.06 3
24 36.1 40.6 36.5 35 39.1 39.1 36.1
33 35.7 35.52 4 25
37.7 36.2 34.7 38.8 37.2 35.8 40.1 39.1
35 35.96
5 39 40.9 38.2
37 38.1 34.3 39.5 36.5 33 30 36.65
6 28 39.1 41 37.7 35.8
37 36.2 35.2 40.7 35 36.57 7
40.5 36.6 38.5 40 35.6 38.2 32.3 35.8 32.1 40.1 36.97
8 37 37.2 36.6 33.5
34 46 34.2 37.2 40 29 36.47
9 45 36.5 39.8
41 36.2 34.5 30 29.7
35 36.7 36.44 10 41 43 37.4
37 36.2 34 33 35 32.6
38.7 36.79 11
40 35.3 36 40.8 36 37 37 40 34.7 37.6 37.44
12 33 34 34.5 34.2 34 33 35.5
36 34 41.6 34.98 13
37.5 34.3 35.5 39 32 36 34.1 33.1
40 33.2 35.47 14
51 38.4 38 32.1 36 35 36.1 35.7
34 36 37.23 15 37 32.4 34 39 37 34 35.8 37.2 40.6
28.1 35.51 16 35.5
33.3 34 34 32 35 34.6 37.2 34 46.2 35.58
17 38.7 32 39 35.5 40.9 30 39.8 35.4
40 37 36.83 18 34.6 33.8 36 33.6 40.6
39 34.7 38.7 38 38.6 36.76
19 38 41.2 38 33.5 38.8
39 35.7 31.7 40.2 33.1 36.92 20
33.7 40.1 39.2 35 37.8
41 38 34.6 30
35 36.44
Total 725.63
Rata- rata
36.2815
Universitas Kristen Maranatha Peta BKA-BKB LP
33 34
35 36
37 38
39
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.7.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
9266 .
14 3
. 7256
3 .
7256 5
. 265725
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.8. Lebar Sandaran LS
M.8.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
6 .
1 629
. 1
8.593 13
27 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 13
12.95 -2.11192
0.01735 0.01735 3.46932 13 -
14.5 12.95 - 14.55 11 -2.11192 -1.40448
0.01735 0.08009 0.06274 12.5482 11 16.01751
1.57174 14.6 -
16.1 14.55 - 16.15 33 -1.40448 -0.69705
0.08009 0.24289 0.1628 32.5599
33 32.55985 0.00595
16.2 - 17.7 16.15 - 17.75
66 -0.69705 0.01039 0.24289 0.50415 0.26126 52.2517 66 52.25167
3.61743 17.8 -
19.3 17.75 - 19.35 52 0.01039 0.71783 0.50415 0.76357 0.25942 51.8846
52 51.88461 0.00026
19.4 - 20.9 19.35 - 20.95
21 0.71783 1.42526 0.76357 0.92296 0.15939 31.8783 21 31.87827
3.71214 21 -
22.5 20.95 - 22.55 9 1.42526 2.1327 0.92296 0.98353 0.06057 12.1132
22.6 - 24.1 22.55 - 24.15
6 2.1327
2.84014 0.98353 0.99775 0.01422 2.84396 24.2 -
25.7 24.15 - 25.75 1
2.84014 3.54757 0.99775 0.99981 0.00206 0.41207 25.8 -
27.3 25.75 - 27.35 1
3.54757 4.25501 0.99981 0.99999 0.00018 0.0368
27.3 27.35
4.25501 0.99999
1 1E-05
0.00209 17 15.4081 0.16447
200 200 200
200 9.07199
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri lebar sandaran telah mengikuti
distribusi normal.
M.8.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 16 18 21.8
13 18 17.5 16.5 21 17 17 17.58
2 17.5 18 16 17.5
18 19.3 19 17.1 17.5 15 17.49
3 17 18 23.4 16.3
18 16.5 16 18.3 16.2 18.3 17.8
4 17.5 14 19.9 18.7 16.5 15.1 19.3
15 17 19.4 17.24 5
16.3 20 16.5 19.3 15.5 15 16 18.5 19.3 18.4 17.48
6 18.7 14 17.7
24 19.3 16.2 16 15.9
19 17.3 17.81 7
20 15.5 17.3 17.7 16.5 18.2 22 15 17.5 18.1 17.78
8 24 20 15.5 16.2
18 19.3 16.1 19.6 16.6 15.4 18.07 9
14 16.5 21.5 19.3 19.3 15 16.4 17.4 19.4 23 18.18
10 15 18 22 17.7 19.3 15.5 16 18 19.3 17 17.78
11 17 13.5 27 18 16.5 19.3 19.3
15 19 19.3 18.39 12 14 16 24 17.5 18.4 15.4
18 19 17.7 20 18
13 18 13.5 17.2
19 16.2 16.5 21 18.4 17.3 19 17.61
14 15 18.4 22 18.5 17.5
15 18.6 17 17 17
17.6 15 20 13 17 19.3 17.4 16.6 16.5
18 19.1 17 17.39 16 20 15 23.1 17.8 15.5 19.3 17.5
16 15 19 17.82 17
17 17.4 18.7 19.3 16.4 15 16.2
22 18 15.1 17.51 18
14 15.5 25.2 19 17.5 19.3 17.4 18.1
17 17 18
19 17 16.4 14 18 21.8 16.5
17 16.9 18 19 17.46
20 19 17.5 14.5
18 17.5 19.3 17 17.6
20 15 17.54 Total
354.53 Rata-
rata 17.7265
Universitas Kristen Maranatha Peta BKA-BKB LS
15.5 16
16.5 17
17.5 18
18.5 19
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgrup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.8.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
9156 .
25 3
. 3545
3 .
3545 69
. 63863
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.9. Tebal Paha TP
M.9.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
5 .
1 490
. 1
8.593 6
. 9
4 .
22 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei Oi
gab Ei gab
Eig Eig
Oig
2
− 9.6
9.55 -2.18146
0.01457 0.01457 2.91491 9.6 -
11 9.55 - 11.05 13 -2.18146
-1.4349 0.01457 0.07566 0.06108 12.2167 13 15.13164
0.30029 11.1 -
12.5 11.05 - 12.55 32 -1.4349 -0.68833
0.07566 0.24562 0.16996 33.9927 32 33.99267
0.11681 12.6 -
14 12.55 - 14.05 76 -0.68833
0.05823 0.24562 0.52322 0.2776 55.5193
76 55.51932 7.55517
14.1 - 15.5 14.05 - 15.55
45 0.05823 0.8048 0.52322 0.78953 0.26631 53.2627 45 53.26269
1.2818 15.6 -
17 15.55 - 17.05 24 0.8048 1.55136 0.78953 0.93959 0.15006 30.0122
24 30.01217 1.20439
17.1 - 18.5 17.05 - 18.55
5 1.55136 2.29793 0.93959 0.98922 0.04962 9.92491 18.6 -
20 18.55 - 20.05 3 2.29793 3.04449 0.98922 0.99883 0.00962
1.9235 20.1 -
21.5 20.05 - 21.55 1 3.04449 3.79106 0.99883 0.99992 0.00109 0.21808
21.6 - 23 21.55 - 23.05
1 3.79106 4.53762 0.99992 1
7.2E-05 0.01444
23 23.05
4.53762 1
1 2.8E-06
0.00057 10 12.08151
0.35862
200 200 200
200 10.8171
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri tebal paha telah mengikuti
distribusi normal.
M.9.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 14 12.7 14.5 13.5 11.1
16 12.4 13.9 14.9 13.6 13.66 2
10.6 14.5 14.2 14 11.3 13.2 13.6
16 17 13
13.74 3
11.6 12 19.8 12 13.8
14 14.4 12.6 13 13 13.62
4 12 11
21.5 12.2 11.5 12.2 14.8 14.7 13
13 13.59
5 9.6 16.2 17.8 13.6
14 14.1 11.5 12 17.8 15.7 14.23
6 10.3 12.4 12.2 12.6 13.8 14.5 15.8
14 13 16.7 13.53 7
19 13.4 10.6 12.4 11.7 13.3 14.5 16 13.1 13 13.7
8 15.8 13.5 14.8 15.6 13.8 12.7 13.7 14.8 15.6 15
14.53 9
11.5 11.5 22.4 13.8 16.6 13.7 15 13.7 14.5 14
14.67 10
11 11 13 13.7 15 14.2
15 16.8 15.5 15 14.02 11
13 16.5 14 13.8 15.5 13.4 12.5 12.7 15 13.8 14.02
12 17 14.5 13.5
14 12.8 14 13.7
14 16 14.6 14.41 13
13.5 19.9 11.1 13.7 11.5 11.5 15 11.5 16.5 13
13.72 14
14.5 11.8 11.4 16 14.5 12.3
15 14.7 15.5 10.7 13.64 15
14.5 12.4 15.4 12.7 11.5 14 13.8
16 14.5 13.6 13.84 16 14.5
14.1 15.7
15 14 14 15 9.6 13.6
16.6 14.21 17
11 13 15.1 15 14.8 13.6 13.7 11.5
14 10.6 13.23 18
11 16.4 11 12.6 14 13.5 14.6
13 18 13.8 13.79 19
13 13.4 17.5 14 11.5
17 14.6 14 14.8 11.7 14.15
20 14.5 13 18.5 14 12.1 14.3 13.7 12.8
17 13.7 14.36 Total
278.66 Rata-
rata 13.933
Universitas Kristen Maranatha
Peta BKA-BKB TP
12 12.5
13 13.5
14 14.5
15
1 3
5 7
9 11
13 15
17 19
subgroup ra
ta -ra
ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.9.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
1056 .
33 6
. 2786
6 .
2786 04
. 39629
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.10. Rentangan Tangan RT
M.10.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
7 .
5 656
. 5
8.593 2
. 141
8 .
189 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 141.2
141.15 -2.72585
0.00321 0.00321 0.64138 141.2 -
146.8 141.15 - 146.85 3 -2.72585 -2.03942
0.00321 0.0207 0.0175 3.49945
146.9 - 152.5 146.85 - 152.55
15 -2.03942 -1.35299 0.0207 0.08803 0.06733 13.4651
18 17.60597 0.00882
152.6 - 158.2 152.55 - 158.25
30 -1.35299 -0.66656 0.08803 0.25253
0.1645 32.8994 30 32.89942
0.25553 158.3 -
163.9 158.25 - 163.95 52 -0.66656 0.01987 0.25253 0.50793
0.2554 51.0799 52 51.07993
0.01657 164 -
169.6 163.95 - 169.65 61 0.01987 0.7063 0.50793
0.76 0.25207 50.4145 61 50.41449
2.22264 169.7 -
175.3 169.65 - 175.35 19 0.7063 1.39273
0.76 0.91815 0.15815 31.63 19 31.62998
5.0432 175.4 -
181 175.35 - 181.05 15 1.39273 2.07916 0.91815
0.9812 0.06305 12.6099 181.1 -
186.7 181.05 - 186.75 4 2.07916 2.76559 0.9812 0.99716 0.01596 3.19206
186.8 - 192.4 186.75 - 192.45
1 2.76559 3.45202 0.99716 0.99972 0.00256 0.51257 192.4
192.45 3.45202
0.99972 1
0.00028 0.05565 20 16.37021
0.80484 200
200 200
200 8.3516
V = k – r – 1 = 9 – 2 – 1
= 6 α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri rentangan tangan telah mengikuti
distribusi normal.
M.10.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 146 172 176 158.5 172.2 162.6 155.4 156.5
164.5 165.6
162.93 2
158 155.7 180.3 163.5 161.3 167.7 167.7 165 172.3 162.1
165.36 3
153.2 167 168.2 161 176.7 154.5 164.8 163 163 150.6
162.2 4
152.3 158.5 189.8 162.5 168 161 162 165.1 161.9 155.9
163.7 5
161 165 163.4 176.6 155.2 166.6 165.5 164.4 157.5 159.3 163.45
6 161.1 149.5 156.8 183.5 172.3 165.4 161.6 165.2 155.7 177 164.81
7 170.2 141.2 156.3 157 177 172 174 155.6 159.2 165.9
162.84 8
181 176 167.5 157.5 153.5 151 160.2 161.8 176 169.5
165.4 9
179.4 155 184.5 149 167.6 160.1 164.3 160.3 165.4 158.5 164.41
10 147 162 165 155.1 150 183 152 175 167 160.6
161.67 11 167 174 180 163.9 172.2 161.5 164.9 162.9 154 155 165.54
12 163 175 169 152.5 160 173 162.8
153 162 167.1 163.74
13 158 162.2 151 167.5
172 164.6 166 166.9 165.8 159 163.3
14 168.5 164.3 163.5 159.9 161.4 158.5 155.5
167 164.6 164.7 162.79
15 178.5 150 169.5 171 165.3 172.3 166.8 167.9 155.8 150.7 164.78
16 161 155 159.3 166.5 164.2 162.7 166.5 165.7 164.1 159.4
162.44 17
159 155.4 155.1 165.2 169 164.7 167.8 167.5 160.5 166 163.02
18 147 146.5 176.6 162.5
158 165.5 184 150.5 168.5 166 162.51
19 173 169.1 162 161.2 155.3 166.7 161.7 165.3 172.2 170.5
165.7 20 178.5 148 167.5 163.5
171 155.5 165.6 160.4 163.1 178 165.11 Total
3275.7 Rata-
rata 163.785
Universitas Kristen Maranatha Peta BKA-BKB RT
156 158
160 162
164 166
168 170
1 2
3 4
5 6
7 8
9 10 11 12 13 14 15 16 17 18 19 20
subgroup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.10.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
09217 .
4 32757
32757 5378827
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N Æ data cukup
M.11. Panjang Lengan Bawah PLB
M.11.1. Uji Kenormalan Data
9 8.593
200 log
3.3 1
n log
3.3 1
k ≈
= +
= +
=
Universitas Kristen Maranatha
9 .
2 909
. 2
8.593 17
42 k
min data
max data
c ≈
= −
= −
=
Interval kelas Batas kelas
Oi Z1
Z2 PZ1
PZ2 PZ2 -
PZ1 Ei
Oi gab
Ei gab Eig
Eig Oig
2
− 17
16.95 -3.2712
0.00054 0.00054 0.10711 17 -
19.8 16.95 - 19.85 3 -3.2712 -2.1906 0.00054 0.01424 0.0137 2.74097
19.9 - 22.7 19.85 - 22.75
11 -2.1906 -1.11 0.01424 0.1335 0.11926 23.8511
14 26.69917 6.04022
22.8 - 25.6 22.75 - 25.65
84 -1.11 -0.0294 0.1335 0.48826 0.35476 70.9525 84 70.95247
2.39933 25.7 -
28.5 25.65 - 28.55 75 -0.0294 1.05114 0.48826
0.8534 0.36515 73.0291 75 73.02913
0.05319 28.6 -
31.4 28.55 - 31.45 25 1.05114 2.13172
0.8534 0.98349 0.13008 26.0163 31.5 -
34.3 31.45 - 34.35 1 2.13172 3.21231 0.98349 0.99934 0.01586 3.17125
34.4 - 37.2 34.35 - 37.25
0 3.21231 4.29289 0.99934 0.99999 0.00065 0.12992 37.3 -
40.1 37.25 - 40.15 0 4.29289 5.37347 0.99999
1 8.8E-06
0.00176 40.2 -
43 40.15 - 43.05 1 5.37347 6.45405
1 1
3.9E-08 7.7E-06
43 43.05
6.45405 1
1 5.5E-11
1.1E-08 27 29.31924
0.18346
200 200
200 200
8.67619 V = k – r – 1
= 9 – 2 – 1 = 6
α = 0.05
Universitas Kristen Maranatha
2
χ = Eig
Eig Oig
2
−
∑
59 .
12
, 2
=
V
α
χ
2
χ
V ,
2
α
χ Æ data-data anthropometri panjang lengan bawah telah
mengikuti distribusi normal.
M.11.2. Uji Keseragaman Data
Subgrup 1 2 3 4 5 6 7 8 9 10
Rata- rata
1 26.5 28.5 25.5 25.5
26 23 23.5 29.7 25 26.2 25.94
2 22.5 26.5
27.8 32 29 25 26.5
24 26 27 26.63 3
25 27 26 25 23 23 29.6 28.5 23 28.5 25.86
4 28.2 27.5 25 18.8
17 26 26.5 23.5 26.7 29.9 24.91 5 27.6 22 25 24 26.5
26 24 26 26.1 26.3 25.35
6 29.5 26.5 25 27 22 26 23.5 23.6 29.1
25.7 25.79 7
24 25.5 30 25 28 23 25.9 26.5 24.5 29.6 26.2
8 27.5 22 24 28 30 26 27 26 28 23 26.15 9
26 20 22.4 23 29 28 26.5
24 23 24.5 24.64 10 25.4 23 24.6 25.3 29.5
26 26 26 24 24.5 25.43 11 23 24 23 23.5 23.2 25.8 27.5 26.6 29.5
28.9 25.5 12 28.6
24.6 26 24 27 26.4 23.1 25 26 29.3 26
13 28 28 25.5 27 27 23 23.2 24.5 23.5 29 25.87
14 25.4 24.5 24 42 26 25.5
22 25 24.1 25 26.35 15
28 23 22 24.5 27 25.5
27 27.5 28.8 27.5 26.08 16 28.5 23 26 27 25 22.8 23.5 23.7
24 25.5 24.9 17 22.5 24 28 23 27 23.5 23.3 23.8 26.8 25 24.69
18 28 19 24 27 26 26.5 24 29.8
25 30 25.93 19 24 22 28.5
26 29 22.9 28.6 23.9 29.2 29.4 26.35
20 28 24.2 21.5 28.5 31.4
23 23.4 28.7 26.9 24.5 26.01 Total
514.58 Rata-
rata 25.729
Universitas Kristen Maranatha Peta BKA-BKB PLB
23 23.5
24 24.5
25 25.5
26 26.5
27 27.5
1 3
5 7
9 11
13 15
17 19
subgroup ra
ta -r
a ta
Berdasarkan gambar di atas, terlihat bahwa semua rata-rata subgrup berada di antara BKA dan BKB.
Kesimpulan: data seragam
M.11.3. Uji Kecukupan Data
⎥ ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎢
⎣ ⎡
− =
∑ ∑
∑
xi xi
xi N
c N
2 2
α
3212 .
17 8
. 5145
8 .
5145 6
. 133829
200 05
. 2
2 2
= ⎥
⎥ ⎦
⎤ ⎢
⎢ ⎣
⎡ −
× =
N
N’ N
Æ data cukup
LAMPIRAN N
PERHITUNGAN PERSENTIL
1. PANTAT POPLITEAL PPO