3.2.3 METODE LOG PEARSON III Tabel 1.15 Tahun No 1 2 3 4 5 6 7 8 9 10 n= 2005 2006 2007 2008 2009 2010 2011 2012 2013
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3.2.3 METODE LOG PEARSON III Tabel 1.15 Tahun
No 1 2 3 4 5 6 7 8 9 10
n=
2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 Jumlah
Xi (mm)
Log Xi
25 245 301 349 339 328 243 302 1419 377
1,3979 2,3892 2,4786 2,5428 2,5302 2,5159 2,3856 2,4800 3,1520 2,5763 24,4485
(Log Xi - Log X)2 1,0960 0,0031 0,0011 0,0096 0,0073 0,0050 0,0035 0,0012 0,5000 0,0173 1,6443
(Log Xi - Log X) -1,1474 -0,0002 0,0000 0,0009 0,0006 0,0004 -0,0002 0,0000 0,3536 0,0023 -0,7900
10 Log X =
24,4485 10
= 2,444851 2
=
0,427428773
Berdasarkan nilai Cs =
= -1,40500
Log X = Log X + K . Sx Tabel 1.16 T (tahun) K 0,240 2 1,131 5 0,849 10 0,178 25 -0,466 50 100 -1,173
n . (Log Xi - Log X) 3 (n - 1)(n - 2)(Sx)
Cs =
1,6443 9
= =
3
(Log Xi - Log X) (n - 1)
Sx =
9
10 .
. 8 .
-0,7900 0,427
3
-1,405002133
maka diperoleh nilai K untuk setiap periode ulang (tabel 3)
Log X 2,4449 2,4449 2,4449 2,4449 2,4449 2,4449
Sx 0,42743 0,42743 0,42743 0,42743 0,42743 0,42743
Xi (mm) 352,67 847,68 642,08 331,88 176,09 87,80
3