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soal
No Tahun P1 p2 p5 p6
1 1980 76 123 47 90
2 1981 79 72 144 683 1982 64 59 50 56
4 1983 68 64 76 60
5 1984 75 111 143
6 1985 64 69 93 66
7 1986 68 143 46 129
8 1987 147 142 143 139
9 1988 90 126 189 49
10 1989 79 103 97
11 1990 93 167 70 162
12 1991 158 154 89 49
13 1992 143 124 126 131
14 1993 140 78 67 70
15 1994 135 79 133
16 1995 103 133 110 180
17 1996 81 143 152
18 1997 156 87 111 155
19 1998 175 103 163 159
20 1999 140 165 145 112
21 2000 130 147 189 132
dihitung dari atas dihitung da
1 data hilang sta p2 tahun 1984 1
data ch sta p1 75
data ch sta p5 111
data ch sta p6 143
data yang dipakai perhitungan 1980-1983
jumlah p1 287
jumlah p2 318
jumlah p5 317
jumlah p6 274
dp2= 120.1382
2 data hilang sta p6 tahun 1989 2
data ch sta p1 79
data ch sta p2 103
data ch sta p5 97
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data yang dipakai perhitungan 1980-1988
jumlah p1 731
jumlah p2 918.1382
jumlah p5 899
jumlah p6 800
dp6= 87.50729
3 data hilang sta p1 tahun 1994 3
data ch sta p2 135
data ch sta p5 79
data ch sta p6 133
data yang dipakai perhitungan 1980-1993
jumlah p1 1344
jumlah p2 1544.138
jumlah p5 1348
jumlah p6 1299.507
dp1= 111.2739
4 data hilang sta p5 tahun 1996 4
data ch sta p1 81
data ch sta p2 143
data ch sta p6 152
data yang dipakai perhitungan 1980-1995
jumlah p1 1558.274 jumlah p2 1812.138
jumlah p5 1537
jumlah p6 1612.507
dp5= 115.3549
analisa data hilang
1 sta p1
atas 111.2739
bawah 108.5936
rata-rata 3 sta 115.6667
selisih atas -4.39277
bawah -7.07303 atas -9.3923
bawah 19.34302
2 sta p2
atas 120.1382
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bawah 117.3952
rata-rata 3 sta 109.6667
selisih atas 10.47157
bawah 7.728566
3 sta p5atas 115.3549
bawah 140.2529
rata-rata 3 sta 125.3333
selisih atas -9.97839
bawah 14.91957
4 sta p6
atas 87.50729
bawah 96.76792
rata-rata 3 sta 93
selisih atas -5.49271
bawah 3.767918
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No Tahun P1 p2 p5 p6
1 1980 76 123 47 90
2 1981 79 72 144 683 1982 64 59 50 56
4 1983 68 64 76 60
5 1984 75 120.1382 111 143
6 1985 64 69 93 66
7 1986 68 143 46 129
8 1987 147 142 143 139
9 1988 90 126 189 49
10 1989 79 103 97 87.50729
11 1990 93 167 70 162
12 1991 158 154 89 49
13 1992 143 124 126 131
14 1993 140 78 67 70
15 1994 111.2379 135 79 133
16 1995 103 133 110 180
17 1996 81 143 115.3549 152
18 1997 156 87 111 155
19 1998 175 103 163 159
20 1999 140 165 145 112
21 2000 130 147 189 132
ri bawah
data hilang sta p5 tahun 1996
data ch sta p1 81
data ch sta p2 143
data ch sta p6 152
data yang dipakai perhitungan 1997-2000
jumlah p1 601
jumlah p2 502
jumlah p5 608
jumlah p6 558
dp5= 140.252906
data hilang sta p1 tahun 1994
data ch sta p2 135
data ch sta p5 79
data ch sta p6 133
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data yang dipakai perhitungan 1995 - 2000
jumlah p1 785
jumlah p2 778
jumlah p5 858.252906
jumlah p6 890
dp1= 108.593633
data hilang sta p6 tahun 1989
data ch sta p1 79
data ch sta p2 103
data ch sta p5 97
data yang dipakai perhitungan 1990-2000
jumlah p1 1427.59363
jumlah p2 1436
jumlah p5 1289.25291
jumlah p6 1435
dp6= 96.767918
data hilang sta p2 tahun 1984
data ch sta p1 75
data ch sta p5 111
data ch sta p6 143
data yang dipakai perhitungan 1985-2000
jumlah p1 1875.59363 jumlah p2 2019
jumlah p5 1857.25291
jumlah p6 1914.76792
dp2= 117.395232
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No Tahun P1 kumulatif sta 1 rerata 3 sta kumulatif rerata
1 1980 76 2240.2739 86.66666667 2346.666797
2 1981 79 2164.2739 94.66666667 2260.00013
3 1982 64 2085.2739 55 2165.333463
4 1983 68 2021.2739 66.66666667 2110.333463
5 1984 75 1953.2739 124.7127333 2043.6667976 1985 64 1878.2739 76 1918.954063
7 1986 68 1814.2739 106 1842.954063
8 1987 147 1746.2739 141.3333333 1736.954063
9 1988 90 1599.2739 121.3333333 1595.62073
10 1989 79 1509.2739 95.83576333 1474.287397
11 1990 93 1430.2739 133 1378.451633
12 1991 158 1337.2739 97.33333333 1245.451633
13 1992 143 1179.2739 127 1148.1183
14 1993 140 1036.2739 71.66666667 1021.1183
15 1994 111.2739 896.2739 115.6666667 949.4516333
16 1995 103 785 141 833.7849667
17 1996 81 682 136.7849667 692.7849667
18 1997 156 601 117.6666667 556
19 1998 175 445 141.6666667 438.3333333
20 1999 140 270 140.6666667 296.6666667
21 2000 130 130 156 156
2240.274 27804.1085 2346.666797 28210.9324
data setelah diperbaiki
No Tahun P1 9 (Ho) Hz Kumulatif Perbaikan1 1980 76 61.52380952 2085.988186
2 1981 79 63.95238095 2024.464376
3 1982 64 51.80952381 1960.511995
4 1983 68 55.04761905 1908.702471
5 1984 75 60.71428571 1853.654852
6 1985 64 51.80952381 1792.940567
7 1986 68 55.04761905 1741.131043
8 1987 147 119 1686.083424
9 1988 90 72.85714286 1567.083424
10 1989 79 63.95238095 1494.226281
11 1990 93 1430.2739
12 1991 158 1337.2739
13 1992 143 1179.2739
14 1993 140 1036.2739
15 1994 111.2739 896.2739
16 1995 103 785
17 1996 81 682
18 1997 156 601
19 1998 175 445
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20 1999 140 270
21 2000 130 130
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p2 p5 p6
123 47 90
72 144 68
59 50 56
64 76 60
120.1382 111 14369 93 66
143 46 129
142 143 139
126 189 49
103 97 87.50729
167 70 162
154 89 49
124 126 131
78 67 70
135 79 133
133 110 180
143 115.3549 152
87 111 155
103 163 159
165 145 112
147 189 132
y1 1.7
x1 2
tan a 0.85
y2 2.1
x2 2
tan ao 1.05
Hz = 0.809524
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No Tahun P2 kumulatif sta rerata 3 sta kumulatif rerata
1 1980 123 2457.1382 71 2274.378697
2 1981 72 2334.1382 97 2203.378697
3 1982 59 2262.1382 56.66666667 2106.3786974 1983 64 2203.1382 68 2049.71203
5 1984 120.1382 2139.1382 109.6666667 1981.71203
6 1985 69 2019 74.33333333 1872.045363
7 1986 143 1950 81 1797.71203
8 1987 142 1807 143 1716.71203
9 1988 126 1665 109.3333333 1573.71203
10 1989 103 1539 87.83576333 1464.378697
11 1990 167 1436 108.3333333 1376.542933
12 1991 154 1269 98.66666667 1268.2096
13 1992 124 1115 133.3333333 1169.542933
14 1993 78 991 92.33333333 1036.2096
15 1994 135 913 107.7579667 943.8762667
16 1995 133 778 131 836.1183
17 1996 143 645 116.1183 705.1183
18 1997 87 502 140.6666667 589
19 1998 103 415 165.6666667 448.3333333
20 1999 165 312 132.3333333 282.6666667
21 2000 147 147 150.3333333 150.3333333
2457.138 28898.691 2274.378697 27846.07157
data setelah diperbaiki
No Tahun P2 Hz Kumulatif Perbaikan
1 1980 123 155.368421 2725.858779
2 1981 72 90.9473684 2570.490358
3 1982 59 74.5263158 2479.542989
4 1983 64 80.8421053 2405.016674
5 1984 120.1382 151.753516 2324.174568
6 1985 69 87.1578947 2172.421053
7 1986 143 180.631579 2085.263158
8 1987 142 179.368421 1904.631579
9 1988 126 159.157895 1725.263158
10 1989 103 130.105263 1566.105263
11 1990 167 1436
12 1991 154 1269
13 1992 124 1115
14 1993 78 991
15 1994 135 913
16 1995 133 778
17 1996 143 645
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18 1997 87 502
19 1998 103 415
20 1999 165 312
21 2000 147 147
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p1 p5 p6
76 47 90
79 144 68
64 50 5668 76 60
75 111 143
64 93 66
68 46 129
147 143 139
90 189 49
79 97 87.50729
93 70 162
158 89 49
143 126 131
140 67 70
111.2739 79 133
103 110 180
81 115.3549 152
156 111 155
175 163 159
140 145 112
130 189 132
y1 2.4
x1 2
tan a 1.2
y2 1.9
x2 2
tan ao 0.95
Hz = 1.263158
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No Tahun p5 kumulatif st rerata 3 sta kumulatif rerata
1 1980 47 2260.3549 96.33333333 2339.97313
2 1981 144 2213.3549 73 2243.639797
3 1982 50 2069.3549 59.66666667 2170.6397974 1983 76 2019.3549 64 2110.97313
5 1984 111 1943.3549 112.7127333 2046.97313
6 1985 93 1832.3549 66.33333333 1934.260397
7 1986 46 1739.3549 113.3333333 1867.927063
8 1987 143 1693.3549 142.6666667 1754.59373
9 1988 189 1550.3549 88.33333333 1611.927063
10 1989 97 1361.3549 89.83576333 1523.59373
11 1990 70 1264.3549 140.6666667 1433.757967
12 1991 89 1194.3549 120.3333333 1293.0913
13 1992 126 1105.3549 132.6666667 1172.757967
14 1993 67 979.3549 96 1040.0913
15 1994 79 912.3549 126.4246333 944.0913
16 1995 110 833.3549 138.6666667 817.6666667
17 1996 115.3549 723.3549 125.3333333 679
18 1997 111 608 132.6666667 553.6666667
19 1998 163 497 145.6666667 421
20 1999 145 334 139 275.3333333
21 2000 189 189 136.3333333 136.3333333
2260.355 27323.033 2339.97313
data setelah diperbaiki
No Tahun p5 ( Ho) Hz Kumulatif Perbaikan
1 1980 47 69.03125 2681.76115
2 1981 144 211.5 2612.7299
3 1982 50 73.4375 2401.2299
4 1983 76 111.625 2327.7924
5 1984 111 163.03125 2216.1674
6 1985 93 136.59375 2053.13615
7 1986 46 67.5625 1916.5424
8 1987 143 210.03125 1848.9799
9 1988 189 277.59375 1638.94865
10 1989 97 1361.3549
11 1990 70 1264.3549
12 1991 89 1194.3549
13 1992 126 1105.3549
14 1993 67 979.3549
15 1994 79 912.3549
16 1995 110 833.3549
17 1996 115.3549 723.3549
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18 1997 111 608
19 1998 163 497
20 1999 145 334
21 2000 189 189
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p1 (Ho) P2 p6
76 123 90
79 72 68
64 59 5668 64 60
75 120.1382 143
64 69 66
68 143 129
147 142 139
90 126 49
79 103 87.50729
93 167 162
158 154 49
143 124 131
140 78 70
111.2739 135 133
103 133 180
81 143 152
156 87 155
175 103 159
140 165 112
130 147 132
y1 2.35
x1 2
tan a 1.175
y2 1.6
x2 2
tan ao 0.8
Hz = 1.46875
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No Tahun p6 kumulatif sta rerata 3 sta
1 1980 90 2322.50729 82
2 1981 68 2232.50729 98.33333333
3 1982 56 2164.50729 57.666666674 1983 60 2108.50729 69.33333333
5 1984 143 2048.50729 102.0460667
6 1985 66 1905.50729 75.33333333
7 1986 129 1839.50729 85.66666667
8 1987 139 1710.50729 144
9 1988 49 1571.50729 135
10 1989 87.50729 1522.50729 93
11 1990 162 1435 110
12 1991 49 1273 133.6666667
13 1992 131 1224 131
14 1993 70 1093 95
15 1994 133 1023 108.4246333
16 1995 180 890 115.3333333
17 1996 152 710 113.1183
18 1997 155 558 118
19 1998 159 403 147
20 1999 112 244 150
21 2000 132 132 155.3333333
2322.507 28411.0729 2319.255667
data setelah diperbaiki
No Tahun p6 ( Ho) Hz Kumulatif Perbaikan
1 1980 47 2260.3549
2 1981 144 2213.3549
3 1982 50 2069.3549
4 1983 76 2019.3549
5 1984 111 1943.3549
6 1985 93 1832.3549
7 1986 46 1739.3549
8 1987 143 1693.3549
9 1988 189 1550.3549
10 1989 97 1361.3549
11 1990 70 1264.3549
12 1991 89 1194.3549
13 1992 126 1105.3549
14 1993 67 979.3549
15 1994 79 912.3549
16 1995 110 833.3549
17 1996 115.3549 723.3549
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18 1997 111 608
19 1998 163 497
20 1999 145 334
21 2000 189 189
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kumulatif rerata p1 (Ho) P2
2319.255667 76 123
2237.255667 79 72
2138.922333 64 592081.255667 68 64
2011.922333 75 120.1382
1909.876267 64 69
1834.542933 68 143
1748.876267 147 142
1604.876267 90 126
1469.876267 79 103
1376.876267 93 167
1266.876267 158 154
1133.2096 143 124
1002.2096 140 78
907.2096 111.2739 135
798.7849667 103 133
683.4516333 81 143
570.3333333 156 87
452.3333333 175 103
305.3333333 140 165
155.3333333 130 147
2319.255667
y1 1
x1 1
tan a 1
y2 1
x2 1
tan ao 1
Hz = 1
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p5 ( Ho)
47
144
5076
111
93
46
143
189
97
70
89
126
67
79
110
115.3549
111
163
145
189
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data perbaikan
No Tahun P1 p2 p5 p6 ch rata-rata
1 1980 61.52381 155.3684 69.03125 90 93.9808702
2 1981 63.95238 90.94737 211.5 68 108.599937
3 1982 51.80952 74.52632 73.4375 56 63.94333494 1983 55.04762 80.84211 111.625 60 76.8786811
5 1984 60.71429 151.7535 163.0313 143 129.624763
6 1985 51.80952 87.15789 136.5938 66 85.3902921
7 1986 55.04762 180.6316 67.5625 129 108.060424
8 1987 119 179.3684 210.0313 139 161.849918
9 1988 72.85714 159.1579 277.5938 49 139.652197
10 1989 63.95238 130.1053 97 87.50729 94.6412335
11 1990 93 167 70 162 123
12 1991 158 154 89 49 112.5
13 1992 143 124 126 131 131
14 1993 140 78 67 70 88.75
15 1994 111.2739 135 79 133 114.568475
16 1995 103 133 110 180 131.5
17 1996 81 143 115.3549 152 122.838725
18 1997 156 87 111 155 127.25
19 1998 175 103 163 159 150
20 1999 140 165 145 112 140.5
21 2000 130 147 189 132 149.5
jumlah 2454.02885
rata-rata 116.858517
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sort
63.94333
76.87868
85.3902988.75
93.98087
94.64123
108.0604
108.5999
112.5
114.5685
122.8387
123
127.25
129.6248
131
131.5
139.6522
140.5
149.5
150
161.8499
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Perhitungan Abnormalitas Data Hujan
cara Aljabar untuk Harga Maximum
No Xi Log Xi Xi+b log(Xi+b) log (Xi+b)^2
1 76.87868 1.88580592 200.3573 2.30180515 5.29830694
2 85.39029 1.9314085 208.8689 2.31987378 5.38181436
3 88.75 1.94816836 212.2286 2.32680393 5.4140165134 93.98087 1.97303946 217.4595 2.33737834 5.463337517
5 94.64123 1.97608039 218.1198 2.33869517 5.46949512
6 108.0604 2.03366667 231.539 2.36462422 5.59144768
7 108.5999 2.03582957 232.0785 2.36563499 5.596228928
8 112.5 2.05115252 235.9786 2.37287264 5.630524547
9 114.5685 2.05906513 238.0471 2.37666287 5.648526374
10 122.8387 2.0893353 246.3173 2.39149497 5.719248214
11 123 2.08990511 246.4786 2.39177923 5.720607902
12 127.25 2.10465779 250.7286 2.39920389 5.756179308
13 129.6248 2.11268797 253.1034 2.40329793 5.775840941
14 131 2.1172713 254.4786 2.40565128 5.787158088
15 131.5 2.11892575 254.9786 2.40650375 5.791260284
16 139.6522 2.14504777 263.1308 2.4201717 5.857231034
17 140.5 2.14767632 263.9786 2.42156874 5.86399514
18 149.5 2.17464119 272.9786 2.43612862 5.934722632
19 150 2.17609126 273.4786 2.43692336 5.93859547
20 161.8499 2.20911248 285.3285 2.45534519 6.028720019
jumlah 41.3795688 4859.658 47.6724197 113.667257
rerata 2.06897844 242.9829 2.38362099 5.683362851
41.3795688 4859.658 47.6724197 113.667257
1 mencari harga b
Log Xo 2.068978
Xo 117.2137
2 perkiraan harga
no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1
1 161.8499 76.8786811 12442.81 238.728599 -1296.247339 -4.30116403 301.3713
2 150 85.3902921 12808.54 235.390292 12808.54382 -235.390292 -54.4141
jumlah 246.9572
m 2
b 123.478609 xe 161.8499
xbar^2
Xo 5.68336285
Sx 2.38362099
1.81651916
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Je E % perhitungan Je
3.7200 0.05 #REF!
3.099 0.25 Je = #REF!
2.816 0.5
2.419 1.25 interpolasi
2.096 2.5 #REF!1.743 5
1.206 12.5 E% #REF!
0.702 25 Eo 0.997438621 0.00256138
Dari data di atas didapat "ε > εo" maka data ditak dapat
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disingkirkan
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Perhitungan Abnormalitas Data Hujan
cara Aljabar untuk Harga Minimum
No Xi Log Xi Xi+b log(Xi+b) log (Xi+b)^2
1 76.87868 1.885806 200.3573 2.301805 5.29830694
2 85.39029 1.931408 208.8689 2.319874 5.38181436
3 88.75 1.948168 212.2286 2.326804 5.4140165134 93.98087 1.973039 217.4595 2.337378 5.463337517
5 94.64123 1.97608 218.1198 2.338695 5.46949512
6 108.0604 2.033667 231.539 2.364624 5.59144768
7 108.5999 2.03583 232.0785 2.365635 5.596228928
8 112.5 2.051153 235.9786 2.372873 5.630524547
9 114.5685 2.059065 238.0471 2.376663 5.648526374
10 122.8387 2.089335 246.3173 2.391495 5.719248214
11 123 2.089905 246.4786 2.391779 5.720607902
12 127.25 2.104658 250.7286 2.399204 5.756179308
13 129.6248 2.112688 253.1034 2.403298 5.775840941
14 131 2.117271 254.4786 2.405651 5.787158088
15 131.5 2.118926 254.9786 2.406504 5.791260284
16 139.6522 2.145048 263.1308 2.420172 5.857231034
17 140.5 2.147676 263.9786 2.421569 5.86399514
18 149.5 2.174641 272.9786 2.436129 5.934722632
19 150 2.176091 273.4786 2.436923 5.93859547
20 161.8499 2.209112 285.3285 2.455345 6.028720019
jumlah 41.37957 4859.658 47.67242 113.667257
rerata 2.068978 242.9829 2.383621 5.683362851
1 mencari harga b
Log Xo 2.068978
Xo 117.2137
2 perkiraan harga
no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1
1 161.8499 76.87868 12442.81 238.7286 -1296.247339 -4.30116403 301.3713
2 150 85.39029 12808.54 235.3903 12808.54382 -235.390292 -54.4141
jumlah 246.9572
m 2 xe 63.9433
b 123.4786 123.4786
xbar̂ 2 5.683363
Xo 2.383621
Sx 1.816519
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Je E % perhitungan Je
3.7200 0.05 239.2249
3.099 0.25 Je = 2.378806
2.816 0.5
2.419 1.25 interpolasi
2.096 2.5 1.405548
1.743 51.206 12.5 E% 0.014055
0.702 25 Eo 0.997439 0.002561379
Dari data di atas didapat "ε > εo" maka data ditak dapat disingkir
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kan
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stasiun luas koefisien thiessen
p1 40 0.235294118
p2 50 0.294117647
p5 35 0.205882353p6 45 0.264705882
jumlah 170 1
data awal
No Tahun P1 p2 p5 p6
1 1980 61.52380952 155.3684 69.03125 90
2 1981 63.95238095 90.94737 211.5 68
3 1982 51.80952381 74.52632 73.4375 56
4 1983 55.04761905 80.84211 111.625 60
5 1984 60.71428571 151.7535 163.0313 143
6 1985 51.80952381 87.15789 136.5938 66
7 1986 55.04761905 180.6316 67.5625 129
8 1987 119 179.3684 210.0313 139
9 1988 72.85714286 159.1579 277.5938 49
10 1989 63.95238095 130.1053 97 87.50729
11 1990 93 167 70 162
12 1991 158 154 89 49
13 1992 143 124 126 131
14 1993 140 78 67 70
15 1994 111.2739 135 79 13316 1995 103 133 110 180
17 1996 81 143 115.3549 152
18 1997 156 87 111 155
19 1998 175 103 163 159
20 1999 140 165 145 112
21 2000 130 147 189 189
No Tahun da P1 da p2 da p5 da p6 ch mx sort
1 1980 14.4761905 45.69659 14.21232 23.82353 98.20863 64.053
2 1981 15.04761907 26.74923 43.54412 18 103.341 75.59344
3 1982 12.19047621 21.9195 15.11949 14.82353 64.053 83.41798
4 1983 12.95238097 23.77709 22.98162 15.88235 75.59344 88.20588
5 1984 14.28571431 44.63339 33.56526 37.85294 130.3373 96.44816
6 1985 12.19047621 25.63467 28.12224 17.47059 83.41798 98.20863
7 1986 12.95238097 53.12693 13.90993 34.14706 114.1363 103.341
8 1987 28.00000004 52.75542 43.24173 36.79412 160.7913 113.7647
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9 1988 17.14285717 46.81115 57.15165 12.97059 134.0762 114.1363
10 1989 15.04761907 38.26625 19.97059 23.16369 96.44816 117.3586
11 1990 21.88235297 49.11765 14.41176 42.88235 128.2941 125.1025
12 1991 37.17647064 45.29412 18.32353 12.97059 113.7647 126.1765
13 1992 33.64705887 36.47059 25.94118 34.67647 130.7353 128.2941
14 1993 32.94117652 22.94118 13.79412 18.52941 88.20588 130.3373
15 1994 26.18209416 39.70588 16.26471 35.20588 117.3586 130.735316 1995 24.23529415 39.11765 22.64706 47.64706 133.6471 133.6471
17 1996 19.05882356 42.05882 23.74954 40.23529 125.1025 134.0762
18 1997 36.70588241 25.58824 22.85294 41.02941 126.1765 140.9706
19 1998 41.17647065 30.29412 33.55882 42.08824 147.1176 147.1176
20 1999 32.94117652 48.52941 29.85294 29.64706 140.9706 160.7913
21 2000 30.58823534 43.23529 38.91176 50.02941 162.7647 162.7647
2474.541
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persen
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.2647060.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
0.235294 0.294118 0.205882 0.264706
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Perhitungan Abnormalitas Data Hujan
untuk Harga Minimum
No Xi Log Xi Xi+b log(Xi+b) log (Xi+b)^2
1 75.59344 1.878484 427.53 2.630967 6.921985444
2 83.41798 1.92126 435.3546 2.638843 6.96349301
3 88.20588 1.945498 440.1425 2.643593 6.9885854754 96.44816 1.984294 448.3848 2.651651 7.031252171
5 98.20863 1.99215 450.1452 2.653353 7.040280301
6 103.341 2.014273 455.2776 2.658276 7.066432609
7 113.7647 2.056008 465.7013 2.668107 7.118797396
8 114.1363 2.057424 466.0729 2.668454 7.120645963
9 117.3586 2.069515 469.2952 2.671446 7.136624156
10 125.1025 2.097266 477.0391 2.678554 7.174651307
11 126.1765 2.100978 478.113 2.679531 7.179884166
12 128.2941 2.108207 480.2307 2.68145 7.190173759
13 130.3373 2.115069 482.2739 2.683294 7.200065397
14 130.7353 2.116393 482.6719 2.683652 7.201988114
15 133.6471 2.125959 485.5837 2.686264 7.216014617
16 134.0762 2.127352 486.0128 2.686648 7.218076121
17 140.9706 2.149129 492.9072 2.692765 7.250984162
18 147.1176 2.167665 499.0542 2.698148 7.280001313
19 160.7913 2.206262 512.7279 2.709887 7.343487115
20 162.7647 2.21156 514.7013 2.711555 7.352531983
jumlah 41.44474 9449.22 53.47644 142.9959546
rerata 2.072237 472.461 2.673822 7.149797729
1 mencari harga b
Log Xo 2.072237
Xo 118.0965
2 perkiraan harga
no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt) b1
1 162.7647 75.59344 12303.94 238.3581 -1642.848205 -2.16506984 758.7969
2 160.7913 83.41798 13412.88 244.2092 13412.88273 -244.209246 -54.9237
jumlah 703.8731
m 2
b 351.9366 351.9366 xe 64.053
xbar^2 7.149798
Xo 2.673822
Sx 2.11565
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Je E %
3.7200 0.05 perhitungan Je
3.099 0.25 547.6127
2.816 0.5 Je = 2.738473475
2.419 1.25
2.096 2.5 interpolasi
1.743 5 0.6464611.206 12.5
0.702 25 E% 0.006464607
Eo 0.997438621 0.002561379
Dari data di atas didapat "ε > εo" maka data tidak da
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at disingkirkan
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Perhitungan Abnormalitas Data Hujan
untuk Harga Maximum
No Xi Log Xi Xi+b log(Xi+b) log (Xi+b)^2
1 64.053 1.806539 269.9624 2.431303 5.911235569
2 75.59344 1.878484 281.5028 2.449483 5.999965867
3 83.41798 1.92126 289.3274 2.46139 6.058438419
4 88.20588 1.945498 294.1153 2.468518 6.093579064
5 96.44816 1.984294 302.3576 2.480521 6.152983532
6 98.20863 1.99215 304.118 2.483042 6.165498381
7 103.341 2.014273 309.2504 2.49031 6.201644947
8 113.7647 2.056008 319.6741 2.504707 6.273559424
9 114.1363 2.057424 320.0457 2.505212 6.276087124
10 117.3586 2.069515 323.268 2.509563 6.297904757
11 125.1025 2.097266 331.0119 2.519844 6.349611637
12 126.1765 2.100978 332.0859 2.52125 6.356703537
13 128.2941 2.108207 334.2035 2.524011 6.370631581
14 130.3373 2.115069 336.2467 2.526658 6.384000772
15 130.7353 2.116393 336.6447 2.527172 6.38659714416 133.6471 2.125959 339.5565 2.530912 6.405515499
17 134.0762 2.127352 339.9856 2.531461 6.408292642
18 140.9706 2.149129 346.88 2.540179 6.452510571
19 147.1176 2.167665 353.027 2.547808 6.491325473
20 160.7913 2.206262 366.7007 2.564312 6.575694445
jumlah 41.03972 6429.964 50.11765 125.6117804
rerata 2.051986 321.4982 2.505883 6.280589019
1 mencari harga b
Log Xo 2.051986
Xo 110.3812
2 perkiraan harga
no Xs Xt Xs*Xt Xs+Xt (Xs*Xt)-Xo^2 2Xo-(Xs+Xt)
1 160.7913 64.053 10299.16 224.8443 -1884.840979 -4.081915693
2 147.1176 75.59344 11121.13 222.7111 11121.12922 -222.7110884
jumlah
m 2
b 205.9094 xe
xbar^2 6.280589
Xo 2.505883
Sx 1.94286
Je E %
3.7200 0.05 perhitungan Je
3.099 0.25 450.8445
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2.816 0.5 Je = 2.654026775
2.419 1.25
2.096 2.5 interpolasi
1.743 5 0.805995
1.206 12.5
0.702 25 E% 0.008059948
Eo 0.997438621 0.002561379
Dari data di atas didapat "ε > εo" maka data d
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b1
461.754
-49.9352
411.8188
162.7647
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apat disingkirkan
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log pearsonmenggunakan data dari rerata aljabar
No Xi Log Xi logXi-logXbar (logXi-logXbar)^2 (logXi-logXbar)^3
1 64.05299554 1.806539 -0.198554456 0.039423872 -0.007827785
2 75.59344132 1.878484 -0.126609784 0.016030037 -0.00202956
3 83.41798199 1.92126 -0.083834222 0.007028177 -0.0005892024 88.20588238 1.945498 -0.059596352 0.003551725 -0.00021167
5 96.44815557 1.984294 -0.020799974 0.000432639 -8.99888E-06
6 98.20863049 1.99215 -0.012944246 0.000167554 -2.16885E-06
7 103.3409627 2.014273 0.009178602 8.42467E-05 7.73267E-07
8 113.7647059 2.056008 0.050913648 0.0025922 0.000131978
9 114.1363012 2.057424 0.052329893 0.002738418 0.000143301
10 117.3585647 2.069515 0.064420888 0.004150051 0.00026735
11 125.1024794 2.097266 0.092172016 0.008495681 0.000783064
12 126.1764706 2.100978 0.095884474 0.009193832 0.000881546
13 128.2941176 2.108207 0.103112843 0.010632258 0.001096322
14 130.3372998 2.115069 0.109974818 0.012094461 0.001330086
15 130.7352941 2.116393 0.111298947 0.012387456 0.001378711
16 133.6470588 2.125959 0.120865505 0.01460847 0.00176566
17 134.0762453 2.127352 0.122257938 0.014947004 0.00182739
18 140.9705882 2.149129 0.144034611 0.020745969 0.002988138
19 147.1176471 2.167665 0.162570869 0.026429288 0.004296632
20 160.7912636 2.206262 0.201168547 0.040468784 0.008141047
21 162.7647059 2.21156 0.206466337 0.042628348 0.008801319
jumlah 43.25128 1.144310903 0.288830469 0.023163933
rerata 2.059585 0 .054490995 0.013753832 0.001103044
menghitung standar deviasi
SD= 0.014442 0.12017289
koefisien kemencengan= 0.737612853
koefisien Cs 10 20 25 50
P 10 5 4 2
0.7 1.333 1.755666667 1.967 2.407
0.8 1.336 1.978659984 1.998 2.453
0.737612853 1.334128 1.839540816 1.978659984 2.424301912
bwt interpolasi
10 1.333
25 1.967
20 1.755667
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10 1.334128
25 1.998
20 1.97866
persamaan garis lurus log pearson III
P90;X10logX10= logXbar+(G.SD)
log X10= 2.219911
X10= 165.9247
p10;x90
2.450924961
282.4391922
mencari debit banjir yang dikehendaki
curah hujan rancangan 20 tahun (x20)
P=1/t*100%
0.05
G20= 1.839541
logXt=logxbar+(G.SD)
logX20= 2.219911
165.9247
logx50= 2.35092
224.347
logx100= 2.401982
252.3374
logx200= 2.450925
282.4392
Tabel Extreme Probability Gumbell)
No y ∆y ∆y² ∆y²/y
1 62.46476
2 79.82874
3 86.82628
4 87.41176
5 90.56504
6 92.16571
7 98.96093
8 103.0644
9 103.9412
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10 114.5294
11 115.1176
12 115.4023
13 121.8667
14 123.4586
15 124.3529
16 129.411817 148.1765
18 149.7059
19 161.8501
20 162.7647
21 171.1351
jumlah 2443
uji chi square
n=21
a=0,05 (5%)
X2=32,671
∑DY2/y=12,359166
∑DY2/y >X2
data dapat mengikuti distribusi log person 3
uji smirnov kolmogorof
n=25
a=0,05 (5%)
DCr=0,286
Dmax=15 %
0.15
karena D max < DCr, maka data dapat mengikuti distribusi log person 3
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% P=m/n+1*100 log(% P=m/n+1*100)
4.545454545 0.657577319 4.5455% 2.005093901
9.090909091 0.958607315 2.005093901
13.63636364 1.134698574 2.00509390118.18181818 1.259637311 2.005093901
22.72727273 1.356547324 2.005093901
27.27272727 1.43572857 2.005093901
31.81818182 1.502675359 2.005093901
36.36363636 1.560667306 2.005093901
40.90909091 1.611819829 2.005093901
45.45454545 1.657577319 2.005093901
50 1.698970004 2.005093901
54.54545455 1.736758565 2.005093901
59.09090909 1.771520671 2.005093901
63.63636364 1.803705355 2.005093901
68.18181818 1.833668578 2.005093901
72.72727273 1.861697302 2.005093901
77.27272727 1.888026241 2.005093901
81.81818182 1.912849824 2.005093901
86.36363636 1.93633092 2.005093901
90.90909091 1.958607315 2.005093901
95.45454545 1.979796614 2.005093901
1050 33.51746761
50 1.596069886
log(% P=m Log Xi0.657577 1.806539
0.958607 1.878484
1.134699 1.92126
1.259637 1.945498
1.356547 1.984294
1.435729 1.99215
1.502675 2.014273
100 200 1.560667 2.056008
1 0.5 1.61182 2.057424
2.824 3.223 1.657577 2.069515
2.891 3.312 1.69897 2.097266
2.849200612 3.256475439 1.736759 2.100978
1.771521 2.108207
1.803705 2.115069
1.833669 2.116393
1.861697 2.125959
1.888026 2.127352
1.91285 2.149129
1.936331 2.167665
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1.958607 2.206262
1.979797 2.21156
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pusingggggggggggggggg
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y = 0.2959x + 1.5873
R² = 0.975
0
1
2
3
0 0.5 1 1.5 2 2.5
Series1
Linear (Series1)
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No Xi Xi-Xbar (Xi-Xbar)^2 (Xi-Xbar)^3 (Xi-Xbar)^4
1 64.05299554 -53.7823 2892.533672 -155567.0566 8366751.04
2 75.59344132 -42.2418 1784.372581 -75375.17125 3183985.51
3 83.41798199 -34.4173 1184.550114 -40769.00932 1403158.97
4 88.20588238 -29.6294 877.9009555 -26011.67281 770710.088
5 96.44815557 -21.3871 457.4089126 -9782.659416 209222.913
6 98.20863049 -19.6266 385.2052067 -7560.28597 148383.051
7 103.3409627 -14.4943 210.0851125 -3045.039401 44135.7545
8 113.7647059 -4.07057 16.5695393 -67.44746789 274.549633
9 114.1363012 -3.69897 13.68241332 -50.61089974 187.208434
10 117.3585647 -0.47671 0.227253492 -0.108334267 0.05164415
11 125.1024794 7.267204 52.81224772 383.7973552 2789.13351
12 126.1764706 8.341195 69.57553027 580.3430495 4840.75441
13 128.2941176 10.45884 109.3873718 1144.065217 11965.5971
14 130.3372998 12.50202 156.3006034 1954.07389 24429.8786
15 130.7352941 12.90002 166.4104723 2146.698139 27692.4453
16 133.6470588 15.81178 250.012481 3953.143092 62506.240717 134.0762453 16.24097 263.76909 4283.865743 69574.1328
18 140.9705882 23.13531 535.2426812 12383.00665 286484.728
19 147.1176471 29.28237 857.4572662 25108.382 735232.963
20 160.7912636 42.95599 1845.216883 79263.11378 3404825.34
21 162.7647059 44.92943 2018.653684 90696.95951 4074962.7
jumlah 2474.540792 -2.3E-13 14147.37407 -96331.61307 22832113.1
rerata 117.8352758 -1.1E-14 673.6844796 -4587.21967 1087243.48
menghitung standar deviasi
SD 707.3687036 26.5964
n=21 , Yn dan Sn ada di tabel yang dikutip dari engineering hydrologi
Sn 1.0696
Yn 0.5252
1/a=SD/Sn= 24.86575
a= 0.040216
b=xbar-Yn.SD/Sn= 104.7758
Yt=-ln(-ln Tr(x)-1/Tr(x))
untuk Tr=20 tahun Y20= 2.9702
Tr=50 tahun Y50= 3.9019
Tr=100 tahun Y100 4.6001
Tr=200 tahun Y200= 5.2958
Xt = 1/a Yt +b
sehingga X20= 178.632
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X50= 201.7994
X100= 219.1607
X200= 236.4598
Kala ulang 20 50 100 200
Yt 2.9702 3.9019 4.6001 5.2958
Curah hujan 178.6320294 201.7994 219.160712 236.4598128
persamaan garis lurus gumbell
x=xbar+SD/Sn(Y-Yn)
117.835276 + 24.86575 (y-0,5309)
117.835276 + 28,10382y -13.0594908
x= 28,10382y + 104.775785
untuk y= -1 79.91004
untuk y= 4 204.2388
Tabel Extreme Probability Gumbell)No y ∆y ∆y² ∆y²/y
1 62.46476025 8 64 1.024577694
2 79.82873544 6 36 0.45096543
3 86.82627756 3 9 0.103655256
4 87.41176473 2 4 0.045760431
5 90.56504081 0 0 0
6 92.16571298 0 0 0
7 98.96093174 0 0 0
8 103.0644471 4.5 20.25 0.196479005
9 103.9411765 3 9 0.086587436
10 114.5294118 4 16 0.139702106
11 115.1176471 6 36 0.312723556
12 115.4023059 4 16 0.13864541
13 121.8667116 4 16 0.13129098
14 123.4586097 3 9 0.072898926
15 124.3529412 0 0 0
16 129.4117647 0.5 0.25 0.001931818
17 148.1764706 6 36 0.242953553
18 149.7058824 4.5 20.25 0.135265226
19 161.8500871 7 49 0.302749296
20 162.7647059 1 1 0.006143838
21 171.1350688 12 144 0.841440629
jumlah 2443.000454 78.5 485.75 4.23377059
uji kelulusan gumbell
n = 21 20 0.29
α = 0.05 25 0.27
∆ CR= 0.286 21 0.286
∆ max = 0.08 5.50%
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karena ∆ max < ∆ cr maka data dapat mengikuti distribusi Aljabar
0.08 < 0.286
Uji Chi-Square
n= 21
α = 0.05
x2 = 32.7∑ ∆ y2/y 4.23377059
karena ∑ ∆ y2/y < x2 maka data dapat mengikuti distribusi gumbel
syarat dan toleransi kesalahan
hasil analisis - hasil/hasil analisis*100%<5%
no kala ulang analitis Grafis Error
1 20 178.632 179 0.205570143
2 50 201.7994 202 0.099283779
3 100 219.1607 220 0.3814945674 200 236.4598 237 0.227927101
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% P=m/n+1
4.545454545
9.090909091
13.63636364
18.18181818
22.72727273
27.27272727
31.81818182
36.36363636
40.90909091
45.45454545
50
54.54545455
59.09090909
63.63636364
68.18181818
72.7272727377.27272727
81.81818182
86.36363636
90.90909091
95.45454545
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3.75
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No. Xi Xi2
(Xi-c) (Xi-c)2
Tr=n+1/m
Periode
Ulang
1 64.053 4102.78624 -53.78228028 2892.533672 22.0000 1.001
2 75.59344 5714.36837 -42.24183449 1784.372581 11.0000 1.005
3 83.41798 6958.55972 -34.41729382 1184.550114 7.3333 1.014 88.20588 7780.27769 -29.62939344 877.9009555 5.5000 1.05
5 96.44816 9302.24671 -21.38712025 457.4089126 4.4000 1,110
6 98.20863 9644.9351 -19.62664533 385.2052067 3.6667 1.25
7 103.341 10679.3546 -14.49431311 210.0851125 3.1429 1.33
8 113.7647 12942.4083 -4.070569898 16.5695393 2.7500 1.43
9 114.1363 13027.0952 -3.69897463 13.68241332 2.4444 1.67
10 117.3586 13773.0327 -0.47671112 0.227253492 2.2000 2
11 125.1025 15650.6303 7.26720357 52.81224772 2.0000 2.5
12 126.1765 15920.5017 8.341194775 69.57553027 1.8333 3.33
13 128.2941 16459.3806 10.4588418 109.3873718 1.6923 4
14 130.3373 16987.8117 12.50202397 156.3006034 1.5714 5
15 130.7353 17091.7171 12.90001831 166.4104723 1.4667 10
16 133.6471 17861.5363 15.81178298 250.012481 1.3750 20
17 134.0762 17976.4396 16.24096949 263.76909 1.2941 50
18 140.9706 19872.7067 23.13531243 535.2426812 1.2222 100
19 147.1176 21643.6021 29.28237125 857.4572662 1.1579 200
20 160.7913 25853.8304 42.95598774 1845.216883 1.1000 500
21 162.7647 26492.3495 44.92943005 2018.653684 1.0476 1000
117.8353 14147.37407
S=((Xi-c)2/(n-1))1/2S 26.59640396
Xt=c+ks
X20 161.4533783
X50 172.3579039
X100 392.3914685
X200 186.453998
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Peluang k
0.999 -3.05 87.94286
0.995 -2.58 94.29714
0.990 -2.33 97.257140.950 -1.64 97.72
0.900 -1.28 112.8286
0.8 -0.84 113.9625
0.750 -0.67 117.5714
0.700 -0.52 126.1714
0.600 -0.25 127.0286
0.5 0 128.9429
0.4 0.25 129.8857
0.3 0.52 137.335
0.25 0.67 143.28
0.2 0.84 146.049
0.1 1.28 147.3429
0.05 1.64 147.4
0.2 2.05 148.0286
0.01 2.33 151.3527
0.005 2.58 159.1429
0.002 2.88 159.3429
0.001 3.09 174.3771
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No. Xi Log Xi (logXi-logc (logXi-logc (logXi-logc)3
1 64.053 1.806539 -0.25305 0.064032 -0.016203
2 75.59344 1.878484 -0.1811 0.032797 -0.005940
3 83.41798 1.92126 -0.13833 0.019134 -0.002647
4 88.20588 1.945498 -0.11409 0.013016 -0.0014855 96.44816 1.984294 -0.07529 0.005669 -0.000427
6 98.20863 1.99215 -0.06744 0.004548 -0.000307
7 103.341 2.014273 -0.04531 0.002053 -0.000093
8 113.7647 2.056008 -0.00358 0.000013 0.000000
9 114.1363 2.057424 -0.00216 0.000005 0.000000
10 117.3586 2.069515 0.00993 0.000099 0.000001
11 125.1025 2.097266 0.037681 0.001420 0.000054
12 126.1765 2.100978 0.041393 0.001713 0.000071
13 128.2941 2.108207 0.048622 0.002364 0.000115
14 130.3373 2.115069 0.055484 0.003078 0.000171
15 130.7353 2.116393 0.056808 0.003227 0.000183
16 133.6471 2.125959 0.066375 0.004406 0.000292
17 134.0762 2.127352 0.067767 0.004592 0.000311
18 140.9706 2.149129 0.089544 0.008018 0.000718
19 147.1176 2.167665 0.10808 0.011681 0.001263
20 160.7913 2.206262 0.146678 0.021514 0.003156
21 162.7647 2.21156 0.151975 0.023097 0.003510
43.25128 -0.017257
2.059585
tabel curah hujan rerata untuk curah hujan rancangan metode log normal III parameterm CH rerata p = m/n+1 log Xi (logXi - logc) (logXi - logc)
2(logXi - logc)3
1 64.053 4.545455 1.806539 -0.2530455 0.0640320 -0.0162030
2 75.59344 9.090909 1.878484 -0.1811008 0.0327975 -0.0059397
3 83.41798 13.63636 1.92126 -0.1383252 0.0191339 -0.0026467
4 88.20588 18.18182 1.945498 -0.1140873 0.0130159 -0.0014850
5 96.44816 22.72727 1.984294 -0.0752910 0.0056687 -0.0004268
6 98.20863 27.27273 1.99215 -0.0674352 0.0045475 -0.0003067
7 103.341 31.81818 2.014273 -0.0453124 0.0020532 -0.0000930
8 113.7647 36.36364 2.056008 -0.0035773 0.0000128 0.0000000
9 114.1363 40.90909 2.057424 -0.0021611 0.0000047 0.0000000
10 117.3586 45.45455 2.069515 0.0099299 0.0000986 0.0000010
11 125.1025 50 2.097266 0.0376810 0.0014199 0.0000535
12 126.1765 54.54545 2.100978 0.0413935 0.0017134 0.0000709
13 128.2941 59.09091 2.108207 0.0486218 0.0023641 0.0001149
14 130.3373 63.63636 2.115069 0.0554838 0.0030785 0.0001708
15 130.7353 68.18182 2.116393 0.0568080 0.0032271 0.0001833
16 133.6471 72.72727 2.125959 0.0663745 0.0044056 0.0002924
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17 134.0762 77.27273 2.127352 0.0677669 0.0045924 0.0003112
18 140.9706 81.81818 2.149129 0.0895436 0.0080181 0.0007180
19 147.1176 86.36364 2.167665 0.1080799 0.0116813 0.0012625
20 160.7913 90.90909 2.206262 0.1466776 0.0215143 0.0031557
21 162.7647 95.45455 2.21156 0.1519753 0.0230965 0.0035101
43.25128 0.2264758 -0.0172565
2.059585
standard deviasi
Si=(∑(logXi-logc)2/(n-1))1/2
Si 0.106413
menghitung koefisien kepencengan
Cs=n∑(logXi-logc)3/(n-1)(n-2)S
3
CS -0.36239
0.457901
Cs -0.79141
persamaan garis lurus log normal
p=90, x 10
log x10=log X + G10.Si
X10 2.017085
104.0124
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50 80 90 95 98 99
2 5 10 20 50 100
-2 0.2366 -0.6144 -1.2437 -1.8916 -2.7943 -3.5196-1.8 0.224 -0.6395 -1.2621 -1.8928 -2.7578 -3.4433
-1.6 0.2092 -0.6654 -1.2792 -1.8901 -2.7138 -3.357
-1.4 0.192 -0.692 -1.2943 -1.8827 -2.6615 -3.2601
-1.2 0.1722 -0.7186 -1.3067 -1.8696 -2.6002 -3.1521
-1 0.1495 -0.7449 -1.3156 -1.8501 -2.5294 -3.0333
-0.8 0.1241 -0.77 -1.3201 -1.8235 -2.4492 -2.9043
-0.6 0.0959 -0.793 -0.3194 -1.7894 -2.36 -2.7665
-0.4 0.0654 -0.8131 -0.3128 -1.7478 -2.2631 -2.6223
-0.2 0.0332 -0.8296 -0.3002 -1.6993 -2.1602 -2.4745
0 0 0 0 0 0 0
0.2 -0.0332 0.8996 0.3002 1.5993 2.1602 2.4745
0.4 -0.0654 0.8131 0.3128 1.7478 2.2631 2.6223
0.6 -0.0959 0.793 0.3194 1.7894 2.36 2.7665
0.8 -0.1241 0.77 1.3201 1.8235 2.4492 2.9043
1 -0.1495 0.7449 1.3156 1.8501 2.5294 3.0333
1.2 -0.1722 0.7186 1.30567 1.8696 2.6002 3.1521
1.4 -0.192 0.692 1.2943 1.8827 2.6615 3.2601
1.6 -0.2092 0.6654 1.2792 1.8901 2.7138 3.357
1.8 -0.224 0.6395 1.2621 1.8928 2.7578 3.4433
2 -0.2366 0.6144 1.2437 1.8916 2.7943 3.5196
menentukan nilai G
koefisien 20 50 100 200
Cs 95 98 99 100.2347
-0.8 -1.8235 -2.4492 -2.9043 -4.26429592
-0.79141 -1.79213 -2.36713 -2.77752 -4.01764
-0.6 -1.7894 -2.36 -2.7665 -3.99620918
mencari debit banjir dengan waktu balik yang dikehendaki QT
20 tahun
Log Xt=logc + G.Si
log X20 1.868879
X20 73.93989
log X20 1.807691
X50 64.223
log X100 1.76402
X100 58.07913
log X200 1.632054
Koefisien
Kemencen
gan (CS)
Peluang kumulatif ( % )
Periode Ulang ( tahun )
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X200 42.86021
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ekstrapolasi
100.2347 10
200
10 90
-4.2643 1.539215
-3.99621 0.600035-0.61599 0.675103 -0.39939
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Perhitungan PMP
No. Xi (Xi-x)2 (Xi-Xn-m)1 (Xi-Xn-m)2 Xn-m = 115.5888
1 64.05299554 2892.5337 -51.5358 2655.9396 Sn = 26.5964
2 75.59344132 1784.3726 -39.9954 1599.6291 Sn-m= 27.38935
3 83.41798199 1184.5501 -32.1708 1034.9618 xn= 117.8353
4 88.20588238 877.9010 -27.3829 749.8244
5 96.44815557 457.4089 -19.1406 366.3644
6 98.20863049 385.2052 -17.3802 302.0704
7 103.3409627 210.0851 -12.2478 150.0096
8 113.7647059 16.5695 -1.8241 3.3273 Xn-m/xn 0.980935
9 114.1363012 13.6824 -1.4525 2.1098
10 117.3585647 0.2273 1.7698 3.1321
11 125.1024794 52.8122 9.5137 90.5100
12 126.1764706 69.5755 10.5877 112.0987
13 128.2941176 109.3874 12.7053 161.4250
14 130.3372998 156.3006 14.7485 217.518115 130.7352941 166.4105 15.1465 229.4162
16 133.6470588 250.0125 18.0583 326.1006
17 134.0762453 263.7691 18.4874 341.7855
18 140.9705882 535.2427 25.3818 644.2350
19 147.1176471 857.4573 31.5288 994.0679
20 160.7912636 1845.2169 45.2025 2043.2623
21 162.7647059 2018.6537 47.1759 2225.5657
Jumlah 2474.5408 14147.3741 47.1759 14253.3534
Rata - rata 117.8353 673.6845 2.2465 678.7311
Probable Maximum Precipitation (PMP)
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koreksi Sn= 1.029814
1.029814033
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No Xi Xi-Xbar (Xi-Xbar)^2 Xi-Xn-m (Xi-Xn-m)^2
1 64.0529955 -53.78228028 2892.5337 -51.53580877 2655.939586
2 75.5934413 -42.24183449 1784.3726 -39.99536299 1599.629061
3 83.417982 -34.41729382 1184.5501 -32.17082232 1034.9618094 88.2058824 -29.62939344 877.90096 -27.38292194 749.8244137
5 96.4481556 -21.38712025 457.40891 -19.14064875 366.3644344
6 98.2086305 -19.62664533 385.20521 -17.38017382 302.0704421
7 103.340963 -14.49431311 210.08511 -12.24784161 150.009624
8 113.764706 -4.070569898 16.569539 -1.824098396 3.327334958
9 114.136301 -3.69897463 13.682413 -1.452503128 2.109765337
10 117.358565 -0.47671112 0.2272535 1.769760382 3.13205181
11 125.102479 7.26720357 52.812248 9.513675072 90.51001338
12 126.176471 8.341194775 69.57553 10.58766628 112.0986772
13 128.294118 10.4588418 109.38737 12.7053133 161.4249862
14 130.3373 12.50202397 156.3006 14.74849547 217.5181187
15 130.735294 12.90001831 166.41047 15.14648981 229.4161535
16 133.647059 15.81178298 250.01248 18.05825448 326.1005549
17 134.076245 16.24096949 263.76909 18.48744099 341.7854745
18 140.970588 23.13531243 535.24268 25.38178393 644.2349555
19 147.117647 29.28237125 857.45727 31.52884276 994.0679255
20 160.791264 42.95598774 1845.2169 45.20245924 2043.262321
21 162.764706 44.92943005 2018.6537
jumlah 2474.54079 -2.27374E-13 14147.374 -1.42109E-13 12027.7877
rerata 117.835276 -1.08273E-14 673.68448 -6.76707E-15 572.7517954
menghitung ch maks yang mungkin terjadi
a curah hujan rerata( Xn) patok
Xn= 117.835276 0.980935492
t= 24 jam
dari lampiran 4 diperoleh hasil
Sn= 26.596404
Xn-m= 115.588804
Sn-m= 25.1603151
b faktor adjusment Xn= 117.8352758
Sn-m/Sn 0.9460044
lampiran 6 Xn 115
lampiran 5 Xn 101
Xn koreksi= 136.865673
c faktor adjusement Sn
Sn-m/Sn= 0.9460044
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20 102.85
1 Xn 40 101.7
21 ? 102.7925
1.027925
2 Sn
12 118
30 115
21 ? 116.5
1.165
3a Sn penyesuaian
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20 108.5
25 103
21 ? 107.4
1.074
3bXn penyes 20 120
25 101.5
21 ? 116.3
1.163
4 faktor koreksi Xn 140.8693
faktor koresi Sn 33.27769
5 nilai Km
100 15.1
150 13.3
117.8353 ? 14.45793
6 pmp terpusat 621.9958
7 faktor koreksi luas das
100 97
200 94luas das 170 ? 94.9
0.949
8 faktor reduksi terhadap lamanya pencatatan hujan
pmp 594.7011
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100.75 1.0075