hidrologia




TABULACIÓN A






N° de interv.
Precipitación


N° de interv.
Precipitación
1
22.6


39
42.6
2
22.9


40
42.7
3
23.5


41
43
4
23.6


42
44
5
24.3


43
45.2
6
24.6


44
45.3
7
25.2


45
45.9
8
26.8


46
46.2
9
26.8


47
47.2
10
27.7


48
47.3
11
28.7


49
47.5
12
28.9


50
48.5
13
29


51
48.8
1430


52
48.9
15
30.3


53
50.7
16
30.5


54
50.9
17
30.9


55
51.7
18
31


56
52
19
31.5


57
52.3
20
31.9


58
54.5
21
33.9


59
54.6
22
34.6


60
55.8
23
35.5


61
56.1
24
35.8


62
56.3
25
36.3


63
58.4
26
36.5


64
58.8
27
36.5


65
62.5
28
37


66
65
29
37.2


67
66.3
30
37.5


68
69
31
37.769
69.5
32
38.5


70
69.7
33
39.6


71
72.4
34
40


72
72.5
35
40.6


73
76.6
36
40.9


74
84
37
41.1


75
84.5
38
41.3


76
90












DISTRIBUCIÓN DE FRECUENCIA






N
=
76









V. Mayor
=
90
mm.
→
(Ls)






V. Mayor
=
22.6
mm.
→
(Li)






Rango
=
Ls - Li



Rango
=67.4
mm.








N° de Intervalos a Usar:
"m"









m
=
2.5*((N)^(1/4))


m
=
7.38









m
=
1.33*LnN +1


m
=
6.76









→
m'
=
7
mm.







Amplitud Interválica:
"C"









C
=
R/m'



C
=
9.63
mm.








→
C'
=
10
mm.







Nuevo Rango:
"R'"









R'
=
C' * m'R'
=
70
mm.








Corrección de Límites:










e
=
(R' - R)/2



e
=
1.3









Ls'
=
Ls + e
=
91.3

Li'
=
Li - e
=
21.3



Si al efectuar esta operación resulta valor negativo se va a asumir cero (0):




21.3



N° de intervalos
Marca de Clase
Intervalo de Clase
N° de datos en Intervalo
Probabilidad PiProbabilidad acumulada






1
6.3
1.3 - 11.3
18
0.24
0.24
2
16.35
11.4 - 21.3
20
0.26
0.50
3
26.35
21.4 - 31.3
16
0.21
0.71
4
36.35
31.4 - 41.4
10
0.13
0.84
5
46.35
41.4 - 51.5
6
0.08
0.92
6
56.35
51.4 - 61.6
3
0.04
0.96
7
66.35
61.4 - 71.7
3
0.04
1.00

Con la información de la tabulación A obtener la cultura de lluvia para una probabilidad acumulada de 80%A) GRAFICO DISTRIBUCIÓN DE FRECUENCIA:
























B) GRAFICO DE DISTRIBUCIÓN DE PROBABILIDAD:


C) GRAFICO DE DISTRIBUCIÓN ACUMULADA DE PROBABILIDAD



Tabla 1: "DISTRIBUCION NORMAL ACUMULADA"












z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
z
0
0.5000000
0.5039894
0.5079783
0.5119665
0.5159534
0.51993880.5239222
0.5279032
0.5318814
0.5358564
0
0.1
0.5398278
0.5437953
0.5477584
0.5517168
0.5556700
0.5596177
0.5635595
0.5674949
0.5714237
0.5753454
0.1
0.2
0.5792597
0.5831662
0.5870644
0.5909541
0.5948349
0.5987063
0.6025681
0.6064199
0.6102612
0.6140919
0.2
0.3
0.6179114
0.6217195
0.6255158
0.6293000
0.6330717
0.6368307
0.6405764
0.6443088
0.6480273
0.65173170.3
0.4
0.6554217
0.6590970
0.6627573
0.6664022
0.6700314
0.6736448
0.6772419
0.6808225
0.6843863
0.6879331
0.4
0.5
0.6914625
0.6949743
0.6984682
0.7019440
0.7054015
0.7088403
0.7122603
0.7156612
0.7190427
0.7224047
0.5
0.6
0.7257469
0.7290691
0.7323711
0.7356527
0.7389137
0.7421539
0.7453731
0.7485711
0.7517478
0.7549029
0.6
0.7
0.7580363
0.76114790.7642375
0.7673049
0.7703500
0.7733726
0.7763727
0.7793501
0.7823046
0.7852361
0.7
0.8
0.7881446
0.7910299
0.7938919
0.7967306
0.7995458
0.8023375
0.8051055
0.8078498
0.8105703
0.8132671
0.8
0.9
0.8159399
0.8185887
0.8212136
0.8238145
0.8263912
0.8289439
0.8314724
0.8339768
0.8364569
0.8389129
0.9
1
0.8413447
0.8437524
0.8461358
0.8484950
0.8508300
0.8531409...