No. Tahun

1 1975 772 1976 1043 1977 1184 1978 905 1979 1046 1980 657 1981 1208 1982 809 1983 8310 1984 13711 1985 14312 1986 6513 1987 9314 1988 7315 1989 6916 1990 13217 1991 9918 1992 9019 1993 10620 1994 14121 1995 14222 1996 15023 1997 10324 1998 15025 1999 14126 2000 10527 2001 115 17528 2002 89 6529 2003 11830 2004 8331 2005 6732 2006 6533 2007 175

Hujan Harian Maksim

Chi KuadratG 6.0445033083 atau 6

No.Dk 4Ef 5.5 1

Xmaks 175 2Xmin 65 3

Dx 22 4Xawal 54 5

6

Nilai batas tiap kelas Of Ef

54 < Xi < 76 6 5.5 0.25 0.0454545576 < Xi < 98 8 5.5 6.25 1.13636364

98 < Xi < 120 10 5.5 20.25 3.68181818120 < Xi < 142 5 5.5 0.25 0.04545455142 < Xi < 164 3 5.5 6.25 1.13636364164 < Xi < 186 1 5.5 20.25 3.68181818

33 33 53.5 9.72727273 > 9.488

(Of-Ef)2 (Ef-Of)2/ Ef

No. Xi Xi - Rerata Xi

1 77.00 -28.82 830.492 104.00 -1.82 3.313 118.00 12.18 148.404 90.00 -15.82 250.215 104.00 -1.82 3.316 65.00 -40.82 1666.127 120.00 14.18 201.128 80.00 -25.82 666.589 83.00 -22.82 520.67

10 137.00 31.18 972.3111 143.00 37.18 1382.4912 65.00 -40.82 1666.1213 93.00 -12.82 164.3114 73.00 -32.82 1077.0315 69.00 -36.82 1355.5816 132.00 26.18 685.4917 99.00 -6.82 46.4918 90.00 -15.82 250.2119 106.00 0.18 0.0320 141.00 35.18 1237.7621 142.00 36.18 1309.1222 150.00 44.18 1952.0323 103.00 -2.82 7.9424 150.00 44.18 1952.0325 141.00 35.18 1237.7626 105.00 -0.82 0.6727 115.00 9.18 84.3128 89.00 -16.82 282.8529 118.00 12.18 148.4030 83.00 -22.82 520.6731 67.00 -38.82 1506.8532 65.00 -40.82 1666.1233 175.00 69.18 4786.12

Rerata 105.82 28582.91Standard Deviation (S) 29.886717938

Cv 0.28Cs 0.40Ck 2.06 2.34a 10550.781158

(Xi - Rerata Xi)2

-23933.14 689709.66-6.01 10.93

1807.74 22021.58-3957.94 62607.48

-6.01 10.93-68008.15 2775969.072852.30 40450.85

-17209.85 444326.91-11880.73 271096.6530318.26 945378.5451403.40 1911271.97-68008.15 2775969.07-2106.10 26996.39

-35346.27 1160000.21-49909.94 1837593.1017947.31 469893.25-316.96 2161.10

-3957.94 62607.480.01 0.00

43546.66 1532050.6447366.49 1713805.5686244.37 3810433.06

-22.38 63.0886244.37 3810433.0643546.66 1532050.64

-0.55 0.45774.08 7107.47

-4757.04 80004.821807.74 22021.58

-11880.73 271096.65-58493.23 2270600.66-68008.15 2775969.07331112.76 22906982.63317162.88 54230694.54

(Xi - Rerata Xi)3 (Xi - Rerata Xi)4

No. Xi Log Xi

1 77.00 1.892 104.00 2.023 118.00 2.074 90.00 1.955 104.00 2.026 65.00 1.817 120.00 2.088 80.00 1.909 83.00 1.92

10 137.00 2.1411 143.00 2.1612 65.00 1.8113 93.00 1.9714 73.00 1.8615 69.00 1.8416 132.00 2.1217 99.00 2.0018 90.00 1.9519 106.00 2.0320 141.00 2.1521 142.00 2.1522 150.00 2.1823 103.00 2.0124 150.00 2.1825 141.00 2.1526 105.00 2.0227 115.00 2.0628 89.00 1.9529 118.00 2.0730 83.00 1.9231 67.00 1.8332 65.00 1.8133 175.00 2.24

Rerata 105.82 2.010.0215278020341454

Cv 0.0107229 0.03Cs -0.17Ck 60.03 68.16a -1.673797921728E-06

Standard Deviation (S)

-0.121156 0.014679 -0.001778 0.0002150.009387 0.000088 0.000001 0.0000000.064235 0.004126 0.000265 0.000017-0.053404 0.002852 -0.000152 0.0000080.009387 0.000088 0.000001 0.000000-0.194733 0.037921 -0.007384 0.0014380.071535 0.005117 0.000366 0.000026-0.104557 0.010932 -0.001143 0.000120-0.088568 0.007844 -0.000695 0.0000620.129074 0.016660 0.002150 0.0002780.147689 0.021812 0.003221 0.000476-0.194733 0.037921 -0.007384 0.001438-0.039164 0.001534 -0.000060 0.000002-0.144324 0.020829 -0.003006 0.000434-0.168797 0.028493 -0.004809 0.0008120.112927 0.012753 0.001440 0.000163-0.012011 0.000144 -0.000002 0.000000-0.053404 0.002852 -0.000152 0.0000080.017659 0.000312 0.000006 0.0000000.141573 0.020043 0.002838 0.0004020.144642 0.020921 0.003026 0.0004380.168445 0.028374 0.004779 0.0008050.005191 0.000027 0.000000 0.0000000.168445 0.028374 0.004779 0.0008050.141573 0.020043 0.002838 0.0004020.013543 0.000183 0.000002 0.0000000.053051 0.002814 0.000149 0.000008-0.058257 0.003394 -0.000198 0.0000120.064235 0.004126 0.000265 0.000017-0.088568 0.007844 -0.000695 0.000062-0.181572 0.032968 -0.005986 0.001087-0.194733 0.037921 -0.007384 0.0014380.235391 0.055409 0.013043 0.0030700.000000 0.014830 -0.000050 0.000425

Log Xi - Rerata Log Xi

(Log Xi - Rerata Log Xi)2

(Log Xi - Rerata Log Xi)3

(Log Xi - Rerata Log Xi)4

Jenis Distribusi Syarat Perhitungan

NormalCs ≈ 0 Cs = 0.40Ck ≈ 3 Ck = 2.06

GumbelCs ≤ 1.1396 Cs = 0.40Ck ≤ 5.4002 Ck = 2.06

Log Pearson Cs ≠ 0 Cs = -0.17

Log NormalCk = 5.383 Ck = 60.03

Cs ≈ 3 Cv + (Cv2) = 3 Cs ≈ 3 Cv + (Cv2) = 0.00

Kesimpulan

Tidak Memenuhi

Memenuhi

Memenuhi

Tidak Memenuhi

YnN 1 2 3 4 5 610 0.4952 0.4996 0.507 0.51 0.5128 0.515720 0.5236 0.5252 0.5283 0.5296 0.5309 0.53230 0.5362 0.5371 0.5388 0.8396 0.5403 0.54140 0.5436 0.5442 0.5453 0.5458 0.5463 0.546850 0.5485 0.5489 0.5497 0.5501 0.5504 0.550860 0.5521 0.5524 0.553 0.5533 0.5535 0.553870 0.5548 0.555 0.5555 0.5557 0.5559 0.556180 0.5569 0.557 0.5574 0.5576 0.5578 0.55890 0.5586 0.5587 0.5591 0.5592 0.5593 0.5595

100 0.56 0.5602 0.5604 0.5606 0.5607 0.5608

SnN 1 2 3 4 5 610 0.9496 0.9676 0.9833 1.0095 1.0206 1.031620 1.0628 1.0696 1.0754 1.0864 1.0915 1.096130 1.1124 1.1159 1.1193 1.1255 1.1285 1.131340 1.1413 1.1436 1.1458 1.1499 1.1519 1.153850 1.1607 1.1623 1.1638 1.1667 1.1681 1.169660 1.1747 1.1759 1.177 1.1793 1.1803 1.181470 1.1854 1.1863 1.1873 1.189 1.1898 1.190680 1.1938 1.1945 1.1953 1.1967 1.1973 1.19890 1.2007 1.2013 1.202 1.2032 1.2038 1.2044

100 1.2065 1.2069 1.2073 1.2081 1.2084 1.2087

Yn Yt7 8 9 Periode Ulang (Tahun) Reduced Variate

0.5181 0.5202 0.522 2 0.36650.5332 0.5353 0.5353 5 1.49990.5418 0.5425 0.5436 10 2.25020.5473 0.5477 0.5481 20 2.96060.5511 0.5515 0.5518 25 3.19850.554 0.5543 0.5545 50 3.9019

0.5563 0.5565 0.5567 100 4.60010.5581 0.5583 0.5585 200 5.2960.5596 0.5598 0.5599 500 6.2140.5609 0.561 0.5611 1000 6.919

5000 8.539Sn 10000 9.921

7 8 91.0411 1.0493 1.05651.1004 1.1047 1.1081.1339 1.1363 1.13881.1557 1.1574 1.1591.1708 1.1721 1.17341.1824 1.1834 1.18441.1915 1.1923 1.1931.1987 1.1994 1.20011.2049 1.2055 1.20661.209 1.2093 1.2096

Distribusi GumbelPeriode Ulang (Tahun) Rerata X Yt Yn

2 105.82 0.3665 0.49965 105.82 1.4999 0.5128

10 105.82 2.2502 0.523625 105.82 3.1985 0.541850 105.82 3.9019 0.5535

100 105.82 4.6001 0.5611

Distribusi GumbelSn Sx Xt (cm)

0.9676 29.886717937755 101.70705929081.0206 29.886717937755 134.72390323341.0628 29.886717937755 154.3714441361.1339 29.886717937755 175.84203184481.1803 29.886717937755 190.60398741231.2096 29.886717937755 205.6135304877