Datos Pp Mensual Aguaytia

ene feb mar abr may jun1982 243.8 228.9 311.9 214.2 55.5 193.41983 76.3 59 219.6 125 191.7 103.81984 327.3 301 134.5 95 54.2 96.51985 132 230 269.9 62.3 46 311986 152.6 327.5 405.2 135 158 251987 114.3 133 82.9 382.8 60 138.41988 56.1 131.5 184 96.3 101.1 75.41989 139.7 217 164.5 11 116 215.31990 104.1 110.7 242.2 172 63 651991 23.1 140.4 236.2 91.8 105.8 501992 112 143.6 173.5 56 48.2 351993 242 177 253 199 30 641994 228.4 63.6 273.8 196.8 85.6 89.61995 40 119.2 230.6 190.8 66.4 101.71996 299.7 502 303.2 144.6 104.4 59.81997 167.1 238.4 438.5 185.9 100.1 52.21998 28.2 120.1 222 285.9 162.5 44.61999 409 302 253.1 251.2 346.9 45.22000 99.7 334.2 219.2 337.3 95.5 92.62001 222.8 222.1 113.8 192.7 64.9 122.4

minimo 23.10 59.00 82.90 11.00 30.00 25.00promedio 160.91 205.06 236.58 171.28 102.79 85.05maximo 409.00 502.00 438.50 382.80 346.90 215.30

jul ago sep oct nov dic total7 89.7 189.5 117.4 204 303 2158.318 51 85.7 68.1 326 162.2 1486.445 46 87.5 198.1 390.5 128 1903.664 18 111.7 215 215.6 170 1565.54.5 44 39 232.7 320 81.5 192570.8 58.2 79.6 141.7 165 56.6 1483.319 28.4 41.7 111.9 146 153.5 1144.9

59.2 48.6 25.9 118 106.3 79 1300.541.3 53 71.6 58 139 90.5 1210.434.2 60 129.3 46.5 172.5 102 1191.827 67 187 124 230 113 1316.3

112 56.5 73 140 254 110 1710.59.7 0 48.8 254.6 180.6 229.3 1660.842.7 54.1 62.6 183.4 126.7 179.5 1397.737.2 104.1 124.2 128.5 208.1 156 2171.828.3 50.7 90.2 134.7 136.8 60.5 1683.419.3 34.1 199.1 140.8 193.8 178.6 162931.7 45.2 216.1 68.9 196.6 240.3 2406.292.4 46.7 69 100.4 185.2 160.7 1832.9

108.7 14.2 101.66 135.93 205.11 144.96 1649.264.50 0.00 25.90 46.50 106.30 56.60

43.60 48.48 101.66 135.93 205.09 144.96 1641.378112.00 104.10 216.10 254.60 390.50 303.00

datos de aguaytia

ene feb mar abr1982 243.8 228.9 311.9 214.2

% 135.55 127.27 173.41 119.091983 76.3 59 219.6 125

% 61.60 47.63 177.29 100.911984 327.3 301 134.5 95

% 206.32 189.75 84.79 59.891985 132 230 269.9 62.3

% 101.18 176.30 206.89 47.751986 152.6 327.5 405.2 135

% 95.13 204.16 252.59 84.161987 114.3 133 82.9 382.8

% 92.47 107.60 67.07 309.691988 56.1 131.5 184 96.3

% 58.80 137.83 192.86 100.931989 139.7 217 164.5 11

% 128.90 200.23 151.79 10.151990 104.1 110.7 242.2 172

%1991 23.1 140.4 236.2 91.8

%1992 112 143.6 173.5 56

% 102.10 130.91 158.17 51.051993 242 177 253 199

% 169.77 124.17 177.49 139.611994 228.4 63.6 273.8 196.8

% 165.03 45.95 197.83 142.201995 40 119.2 230.6 190.8

% 34.27 102.12 197.56 163.461996 299.7 502 303.2 144.6

% 165.60 277.37 167.53 79.901997 167.1 238.4 438.5 185.9

%1998 28.2 120.1 222 285.9

% 20.77 88.47 163.54 210.611999 409 302 253.1 251.2

% 203.97 150.61 126.22 125.282000 99.7 334.2 219.2 337.3

% 65.27 218.80 143.51 220.832001 222.8 222.1 113.8 192.7

%

1982

enero 1982.00 243.8febrero 1982.08 228.9marzo 1982.17 311.9abril 1982.25 214.2mayo 1982.33 55.5junio 1982.42 193.4julio 1982.50 7

agosto 1982.58 89.7septiembre 1982.67 189.5

octubre 1982.75 117.4noviembre 1982.83 204diciembre 1982.92 303

1983

enero 1983.00 76.3febrero 1983.08 59marzo 1983.17 219.6abril 1983.25 125

1983

mayo 1983.33 191.7junio 1983.42 103.8julio 1983.50 18

agosto 1983.58 51septiembre 1983.67 85.7

octubre 1983.75 68.1noviembre 1983.83 326diciembre 1983.92 162.2

1984

enero 1984.00 327.3febrero 1984.08 301marzo 1984.17 134.5abril 1984.25 95mayo 1984.33 54.2junio 1984.42 96.5julio 1984.50 45


octubre 1984.75 198.1noviembre 1984.83 390.5diciembre 1984.92 128

1985

enero 1985.00 132febrero 1985.08 230marzo 1985.17 269.9abril 1985.25 62.3mayo 1985.33 46junio 1985.42 31julio 1985.50 64


octubre 1985.75 215noviembre 1985.83 215.6diciembre 1985.92 170

1986

enero 1986.00 152.6febrero 1986.08 327.5marzo 1986.17 405.2abril 1986.25 135mayo 1986.33 158junio 1986.42 25julio 1986.50 4.5

agosto 1986.58 44septiembre 1986.67 39


1987

enero 1987.00 114.3febrero 1987.08 133marzo 1987.17 82.9abril 1987.25 382.8mayo 1987.33 60junio 1987.42 138.4julio 1987.50 70.8



1988

enero 1988.00 56.1febrero 1988.08 131.5marzo 1988.17 184abril 1988.25 96.3

1988

mayo 1988.33 101.1junio 1988.42 75.4julio 1988.50 19



1989

enero 1989.00 139.7febrero 1989.08 217marzo 1989.17 164.5abril 1989.25 11mayo 1989.33 116junio 1989.42 215.3julio 1989.50 59.2


octubre 1989.75 118noviembre 1989.83 106.3diciembre 1989.92 79

1990

enero 1990.00 104.1febrero 1990.08 110.7marzo 1990.17 242.2abril 1990.25 172mayo 1990.33 63junio 1990.42 65julio 1990.50 41.3


octubre 1990.75 58noviembre 1990.83diciembre 1990.92

1991

enero 1991.00 23.1febrero 1991.08 140.4marzo 1991.17 236.2abril 1991.25 91.8mayo 1991.33 105.8junio 1991.42julio 1991.50

agosto 1991.58septiembre 1991.67


1992

enero 1992.00 112febrero 1992.08 143.6marzo 1992.17 173.5abril 1992.25 56mayo 1992.33 48.2junio 1992.42 35julio 1992.50 27

agosto 1992.58 67septiembre 1992.67 187

octubre 1992.75 124noviembre 1992.83 230diciembre 1992.92 113

1993

enero 1993.00 242febrero 1993.08 177marzo 1993.17 253

1993

abril 1993.25 199mayo 1993.33 30junio 1993.42 64julio 1993.50 112

agosto 1993.58 56.5septiembre 1993.67 73

octubre 1993.75 140noviembre 1993.83 254diciembre 1993.92 110

1994

enero 1994.00 228.4febrero 1994.08 63.6marzo 1994.17 273.8abril 1994.25 196.8mayo 1994.33 85.6junio 1994.42 89.6julio 1994.50 9.7


octubre 1994.75 254.6noviembre 1994.83 180.6diciembre 1994.92 229.3

1995

enero 1995.00 40febrero 1995.08 119.2marzo 1995.17 230.6abril 1995.25 190.8mayo 1995.33 66.4junio 1995.42 101.7julio 1995.50 42.7



1996

enero 1996.00 299.7febrero 1996.08 502marzo 1996.17 303.2abril 1996.25 144.6mayo 1996.33 104.4junio 1996.42 59.8julio 1996.50 37.2



1997

enero 1997.00 167.1febrero 1997.08 238.4marzo 1997.17 438.5abril 1997.25 185.9mayo 1997.33 100.1junio 1997.42julio 1997.50


octubre 1997.75noviembre 1997.83 136.8diciembre 1997.92 60.5

1998

enero 1998.00 28.2febrero 1998.08 120.1marzo 1998.17 222abril 1998.25 285.9mayo 1998.33 162.5junio 1998.42 44.6julio 1998.50 19.3



1999

enero 1999.00 409febrero 1999.08 302marzo 1999.17 253.1abril 1999.25 251.2mayo 1999.33 346.9junio 1999.42 45.2julio 1999.50 31.7



2000


agosto 2000.58 46.7septiembre 2000.67 69


2001


agosto 2001.58 14.2septiembre 2001.67

octubre 2001.75noviembre 2001.83diciembre 2001.92

ene feb mar abr1969 47.4 85 95 60.8

% 197.29 353.80 395.42 253.071970 163.1 27.6 28.3 61.7

% 606.51 102.63 105.24 229.441971 89.3 147.3 174.6 43.8

% 232.96 384.26 455.48 114.261972 129.3 112.5 200 83.8

% 295.15 256.80 456.53 191.291973 153.4 143.2 159.5 89.9

%1974 85.91 71.3 124.3 28.1

% 332.98

may jun jul ago sep oct nov dic55.5 193.4 7 89.7 189.5 117.4 204 303

30.86 107.53 3.89 49.87 105.36 65.27 113.42 168.47191.7 103.8 18 51 85.7 68.1 326 162.2154.76 83.80 14.53 41.17 69.19 54.98 263.19 130.95

54.2 96.5 45 46 87.5 198.1 390.5 12834.17 60.83 28.37 29.00 55.16 124.88 246.17 80.69

46 31 64 18 111.7 215 215.6 17035.26 23.76 49.06 13.80 85.62 164.80 165.26 130.31158 25 4.5 44 39 232.7 320 81.5

98.49 15.58 2.81 27.43 24.31 145.06 199.48 50.8160 138.4 70.8 58.2 79.6 141.7 165 56.6

48.54 111.97 57.28 47.08 64.40 114.64 133.49 45.79101.1 75.4 19 28.4 41.7 111.9 146 153.5105.97 79.03 19.91 29.77 43.71 117.29 153.03 160.89

116 215.3 59.2 48.6 25.9 118 106.3 79107.04 198.66 54.63 44.84 23.90 108.88 98.09 72.90

63 65 41.3 53 71.6 58 162.56 117.08154.75 111.45

105.8 61.17 28.21 34.86 66.61 46.5 172.5 10266.18 30.52 37.72 72.06

48.2 35 27 67 187 124 230 11343.94 31.91 24.61 61.08 170.48 113.04 209.68 103.02

30 64 112 56.5 73 140 254 11021.05 44.90 78.57 39.64 51.21 98.22 178.19 77.1785.6 89.6 9.7 0 48.8 254.6 180.6 229.3

61.85 64.74 7.01 0.00 35.26 183.96 130.49 165.6866.4 101.7 42.7 54.1 65.6 183.4 126.7 179.5

56.89 87.13 36.58 46.35 56.20 157.12 108.55 153.78104.4 59.8 37.2 104.1 124.2 128.5 208.1 15657.68 33.04 20.55 57.52 68.63 71.00 114.98 86.20100.1 97.60 45.01 50.7 90.2 158.80 136.8 60.5

66.18 30.52 107.68162.5 44.6 19.3 34.1 199.1 140.8 193.8 178.6119.71 32.85 14.22 25.12 146.67 103.72 142.76 131.57346.9 45.2 31.7 45.2 216.1 68.9 196.6 240.3173.00 22.54 15.81 22.54 107.77 34.36 98.05 119.84

95.5 92.6 92.4 46.7 69 100.4 185.2 160.762.52 60.63 60.49 30.57 45.17 65.73 121.25 105.2164.9 122.4 108.7 14.2 101.46 151.61 217.87 156.91

72.06 107.68 154.75 111.45

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

metodo racional del ejemplo de internet

Ao E F M A M

1980 79.8 50.4 18 87.6 71.41981 29 84.4 40.4 382.3 282.51982 112.6 109.4 1291983 60.5 3.5 37.6 194.3 85.61984 21.9 16.6 3.3 136.3 154.61985 5.7 30.5 76.5 141.2 186.11986 100.4 88.3 88.9 172.6 176.91987 86.9 0.8 36.9 18.1 191.21988 0.7 58.3 58.7 99.1 32.91989 110.2 36 104.8 203.5 93.31990 80.6 113.3 43.5 93.3 113.81991 16.9 38.1 136.4 35.2 46.31992 9.4 5.7 26.1 20.2 134.31993 67.6 20.8 107.9 115.61994 35.3 10.6 74 143.8 115.61995 3.7 11.8 107.1 208.1 71.2

Ao E F M A M

1980 ----- 5.35 1.91 9.29 -----

1981 ----- 5.59 2.67 25.31 -----

1982 ----- ----- ----- ----- -----

1983 ----- 0.34 3.63 18.74 -----

1984 ----- 1.31 0.26 10.77 -----

1985 ----- 2.39 5.99 11.05 -----

1986 ----- 6.40 6.44 12.50 -----

1987 ----- 0.08 3.47 1.70 -----

1988 ----- 4.73 4.76 8.04 -----

1989 ----- 2.65 7.71 14.97 -----

1990 ----- 10.83 4.16 8.92 -----

1991 ----- 4.32 15.47 3.99 -----

1992 ----- 0.89 4.08 3.15 -----

1993 ----- ----- ----- ----- -----

1994 ----- 1.16 8.06 15.67 -----

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

1995 ----- 1.04 9.44 18.34 -----suma 47.05 78.05 162.45

promedio 3.36 5.57 11.60

Ao E F M A M

1980 79.8 50.4 18 87.6 71.4

1981 29 84.4 40.4 382.3 282.5

1982 112.6 109.4 55.22 114.94 129

1983 60.5 3.5 37.6 194.3 85.6

1984 21.9 16.6 3.3 136.3 154.6

1985 5.7 30.5 76.5 141.2 186.1

1986 100.4 88.3 88.9 172.6 176.9

1987 86.9 0.8 36.9 18.1 191.2

1988 0.7 58.3 58.7 99.1 32.9

1989 110.2 36 104.8 203.5 93.3

1990 80.6 113.3 43.5 93.3 113.8

1991 16.9 38.1 136.4 35.2 46.3

1992 9.4 5.7 26.1 20.2 134.3

1993 67.6 25.92 20.8 107.9 115.6

1994 35.3 10.6 74 143.8 115.6

1995 3.7 11.8 107.1 208.1 71.2

este es el metodo racional deductivo

ene feb mar abr may1980 79.8 50.4 18 87.6 71.4

% 101.57 64.15 22.91 111.50 90.881981 29 84.4 40.4 382.3 282.5

% 23.04 67.05 32.09 303.69 224.411982 112.6 109.4 50.98 99.10 129

% 64.05 124.511983 60.5 3.5 37.6 194.3 85.6

% 5.84 0.34 3.63 18.74 8.261984 21.9 16.6 3.3 136.3 154.6

% 20.76 15.74 3.13 129.24 146.591985 5.7 30.5 76.5 141.2 186.1

% 5.35 28.65 71.85 132.61 174.781986 100.4 88.3 88.9 172.6 176.9

% 87.27 76.75 77.28 150.03 153.771987 86.9 0.8 36.9 18.1 191.2

% 98.14 0.90 41.67 20.44 215.921988 0.7 58.3 58.7 99.1 32.9

% 0.68 56.74 57.12 96.44 32.021989 110.2 36 104.8 203.5 93.3

% 97.25 31.77 92.48 179.59 82.341990 80.6 113.3 43.5 93.3 113.8

% 92.44 129.94 49.89 107.01 130.521991 16.9 38.1 136.4 35.2 46.3

% 23.00 51.86 185.66 47.91 63.021992 9.4 5.7 26.1 20.2 134.3

% 17.62 10.68 48.91 37.86 251.691993 67.6 25.75 20.8 107.9 115.6

% 40.061994 35.3 10.6 74 143.8 115.6

% 46.16 13.86 96.77 188.06 151.181995 3.7 11.8 107.1 208.1 71.2

% 3.91 12.48 113.26 220.08 75.30

lo de aguaytia por el metodo racionalAo E F M A M

1982 243.8 228.9 311.9 214.2 55.51983 76.3 59 219.6 125 191.71984 327.3 301 134.5 95 54.21985 132 230 269.9 62.3 461986 152.6 327.5 405.2 135 1581987 114.3 133 82.9 382.8 601988 56.1 131.5 184 96.3 101.11989 139.7 217 164.5 11 1161990 104.1 110.7 242.2 172 631991 23.1 140.4 236.2 91.8 105.81992 112 143.6 173.5 56 48.21993 242 177 253 199 301994 228.4 63.6 273.8 196.8 85.61995 40 119.2 230.6 190.8 66.41996 299.7 502 303.2 144.6 104.41997 167.1 238.4 438.5 185.9 100.11998 28.2 120.1 222 285.9 162.51999 409 302 253.1 251.2 346.92000 99.7 334.2 219.2 337.3 95.52001 222.8 222.1 113.8 192.7 64.9

Ao E F M A M

1982

1983

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001suma

promedio

Ao E F M A M

1982 243.8 228.9 311.9 214.2 55.51983 76.3 59 219.6 125 191.71984 327.3 301 134.5 95 54.21985 132 230 269.9 62.3 461986 152.6 327.5 405.2 135 1581987 114.3 133 82.9 382.8 60

1988 56.1 131.5 184 96.3 101.11989 139.7 217 164.5 11 1161990 104.1 110.7 242.2 172 631991 23.1 140.4 236.2 91.8 105.81992 112 143.6 173.5 56 48.21993 242 177 253 199 301994 228.4 63.6 273.8 196.8 85.61995 40 119.2 230.6 190.8 66.41996 299.7 502 303.2 144.6 104.41997 167.1 238.4 438.5 185.9 100.11998 28.2 120.1 222 285.9 162.51999 409 302 253.1 251.2 346.92000 99.7 334.2 219.2 337.3 95.52001 222.8 222.1 113.8 192.7 64.9

PERIODO ENE/69 - DIC/74M1 152.37S1 105.71 11174.215069N1 64.00

PERIODO ENE/75 - DIC/83M2 131.25S2 87.77 7704.1467716N2 176.00

GL 238

T calc 1.56T tabla 1.9700 CONSISTENTEGL Numerador 63.00GL Denominador 175.00F cal 1.4504F tab 1.3879 INCOSISTENTE

may jun0 0.1

0.00 0.4242 0

156.18 0.005 0

13.04 0.000 0.1

0.00 0.2320.8 9.4

0 0

jul ago sep oct nov dic0.2 6.1 36.6 33.1 77.6 202

0.83 25.39 152.34 137.77 323.00 840.794.7 1.3 61.7 33 18.5 151.2

17.48 4.83 229.44 122.71 68.79 562.260 0.5 0 5.3 15.1 146.3

0.00 1.30 0.00 13.83 39.39 381.6512.2 0 30.4 67.2 44.7 90.227.85 0.00 69.39 153.40 102.04 205.9015.5 8.9 65.06 61.68 76.89 116

112.79 106.93 133.300 0 41.1 31.4 43.9 42.5

179.86completacion de datos metodo racional deductivo

123.87

158.63

130.46

160.42

123.61

95.41

108.38

980.90266.21

918.30206.49

109.69

142.54

138.40

116.73

180.98

1468.20204.39

135.75

200.52

152.74

1061.60445.96

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

69.421.60*1.1911200

6.716

setP

J J A S O N

44.7 80.4 95.9 136.7 77.3 162.946.9 57.7 83.6 79.1 213.9 186.533.9 52.9 146.6 37.3

100.5 86.5 53.6 99.4 197.4 41.370.9 130 210.5 85.8 169.4 185.818.3 106.4 110.6 104.5 183.8 191.4

106.6 73.9 76.8 97.6 134.7 157.6116.2 172 56.8 76.9 139.9 147.888.2 84.7 187 116.3 202.6 222.368.6 90.3 140.1 155.7 157 163.621.6 58.5 31.6 47.9 92 24283.6 77.4 61.1 117.8 62.1 92.154.9 24.3 82.7 67.6 59.6 89.151.3 65.7 4.1 64.2 96.7 100.756.9 67.9 70.5 44.4 161.9 90.840.1 139.1 179.6 13.7 119.8 124.8

J J A S O N

----- ----- 10.17 14.50 ----- -----

----- ----- 5.53 5.24 ----- -----

----- ----- ----- ----- ----- -----

----- ----- 5.17 9.59 ----- -----

----- ----- 16.63 6.78 ----- -----

----- ----- 8.66 8.18 ----- -----

----- ----- 5.56 7.07 ----- -----

----- ----- 5.35 7.24 ----- -----

----- ----- 15.17 9.43 ----- -----

----- ----- 10.30 11.45 ----- -----

----- ----- 3.02 4.58 ----- -----

----- ----- 6.93 13.36 ----- -----

----- ----- 12.92 10.56 ----- -----

----- ----- ----- ----- ----- -----

----- ----- 7.68 4.84 ----- -----

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

----- ----- 15.83 1.21 ----- -----128.92 114.02

9.21 8.14

J J A S O N

44.7 80.4 95.9 136.7 77.3 162.9

46.9 57.7 83.6 79.1 213.9 186.5

33.9 52.9 91.21 80.67 146.6 37.3

100.5 86.5 53.6 99.4 197.4 41.3

70.9 130 210.5 85.8 169.4 185.8

18.3 106.4 110.6 104.5 183.8 191.4

106.6 73.9 76.8 97.6 134.7 157.6

116.2 172 56.8 76.9 139.9 147.8

88.2 84.7 187 116.3 202.6 222.3

68.6 90.3 140.1 155.7 157 163.6

21.6 58.5 31.6 47.9 92 242

83.6 77.4 61.1 117.8 62.1 92.1

54.9 24.3 82.7 67.6 59.6 89.1

51.3 65.7 4.1 64.2 96.7 100.7

56.9 67.9 70.5 44.4 161.9 90.8

40.1 139.1 179.6 13.7 119.8 124.8

jun jul ago sep oct nov44.7 80.4 95.9 136.7 77.3 162.9

56.89 102.33 122.06 173.99 98.39 207.3446.9 57.7 83.6 79.1 213.9 186.5

37.26 45.84 66.41 62.84 169.92 148.1533.9 52.9 84.71 71.78 146.6 37.3

106.44 90.19100.5 86.5 53.6 99.4 197.4 41.39.70 8.34 5.17 9.59 19.04 3.9870.9 130 210.5 85.8 169.4 185.8

67.23 123.26 199.59 81.35 160.62 176.1718.3 106.4 110.6 104.5 183.8 191.4

17.19 99.93 103.87 98.15 172.62 179.76106.6 73.9 76.8 97.6 134.7 157.692.66 64.24 66.76 84.84 117.09 136.99116.2 172 56.8 76.9 139.9 147.8

131.23 194.24 64.14 86.84 157.99 166.9188.2 84.7 187 116.3 202.6 222.385.83 82.43 181.98 113.18 197.16 216.3368.6 90.3 140.1 155.7 157 163.660.54 79.69 123.64 137.40 138.55 144.3721.6 58.5 31.6 47.9 92 242

24.77 67.09 36.24 54.94 105.51 277.5583.6 77.4 61.1 117.8 62.1 92.1

113.79 105.35 83.17 160.34 84.53 125.3654.9 24.3 82.7 67.6 59.6 89.1

102.89 45.54 154.99 126.69 111.70 166.9851.3 65.7 4.1 64.2 96.7 100.7

56.9 67.9 70.5 44.4 161.9 90.874.41 88.80 92.20 58.06 211.73 118.7440.1 139.1 179.6 13.7 119.8 124.8

42.41 147.10 189.94 14.49 126.69 131.98

J J A S O N

193.4 7 89.7 189.5 117.4 204

103.8 18 51 85.7 68.1 326

96.5 45 46 87.5 198.1 390.5

31 64 18 111.7 215 215.6

25 4.5 44 39 232.7 320

138.4 70.8 58.2 79.6 141.7 165

75.4 19 28.4 41.7 111.9 146

215.3 59.2 48.6 25.9 118 106.3

65 41.3 53 71.6 58

46.5 172.5

35 27 67 187 124 230

64 112 56.5 73 140 254

89.6 9.7 0 48.8 254.6 180.6101.7 42.7 54.1 62.6 183.4 126.7

59.8 37.2 104.1 124.2 128.5 208.1

50.7 90.2 136.8

44.6 19.3 34.1 199.1 140.8 193.8

45.2 31.7 45.2 216.1 68.9 196.6

92.6 92.4 46.7 69 100.4 185.2

122.4 108.7 14.2

J J A S O N

8.96 0.32 4.16 8.78 5.44 9.45

6.98 1.21 3.43 5.77 4.58 21.93

5.07 2.36 2.42 4.60 10.41 20.51

1.98 4.09 1.15 7.14 13.73 13.77

1.30 0.23 2.29 2.03 12.09 16.62

9.33 4.77 3.92 5.37 9.55 11.12

6.59 1.66 2.48 3.64 9.77 12.75

16.56 4.55 3.74 1.99 9.07 8.17

2.66 2.05 5.09 14.21 9.42 17.47

3.74 6.55 3.30 4.27 8.18 14.85

5.39 0.58 0.00 2.94 15.33 10.87

7.28 3.06 3.87 4.48 13.12 9.06

2.75 1.71 4.79 5.72 5.92 9.58

2.74 1.18 2.09 12.22 8.64 11.90

1.88 1.32 1.88 8.98 2.86 8.17

5.05 5.04 2.55 3.76 5.48 10.10

11.53 10.24 1.34 0.00 0.00 0.0099.79 50.94 48.49 95.88 143.61 206.365.87 3.00 2.85 5.64 8.45 12.14

J J A S O N

193.4 7 89.7 189.5 117.4 204

103.8 18 51 85.7 68.1 326

96.5 45 46 87.5 198.1 390.5

31 64 18 111.7 215 215.6

25 4.5 44 39 232.7 320

138.4 70.8 58.2 79.6 141.7 165

75.4 19 28.4 41.7 111.9 146

215.3 59.2 48.6 25.9 118 106.3

65 41.3 53 71.6 58 150.49

65.23 33.30 31.70 62.67 46.5 172.5

35 27 67 187 124 230

64 112 56.5 73 140 254

89.6 9.7 0 48.8 254.6 180.6101.7 42.7 54.1 62.6 183.4 126.7

59.8 37.2 104.1 124.2 128.5 208.1

104.226528 53.21 50.7 90.2 150.00 136.8

44.6 19.3 34.1 199.1 140.8 193.8

45.2 31.7 45.2 216.1 68.9 196.6

92.6 92.4 46.7 69 100.4 185.2

122.4 108.7 14.2 92.07 137.90 198.16

24.03

26.89

38.33

43.81

692.200.00

223.70332.98

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

69.421.60*1.1911200

6.716

setP

D Total

37.7 942.824.3 1510.626.8 648.576.4 1036.680.5 1265.6

122.7 1277.7106.2 1380.519.1 1062.682.3 1233.136.7 1359.8

108.2 1046.3114.6 881.666.4 640.350.8 745.445.9 917.6

115.7 1134.7

D Total

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

----- 100

1980.00 1985.00 1990.00 1995.00 2000.00 2005.000

100

200

300

400

500

600

----- 100

D Total

37.7 942.8

24.3 1510.6

26.8 ---------

76.4 1036.6

80.5 1265.6

122.7 1277.7

106.2 1380.5

19.1 1062.6

82.3 1233.1

36.7 1359.8

108.2 1046.3

114.6 881.6

66.4 640.3

50.8 ---------

45.9 917.6

115.7 1134.7

dic37.7 78.57

47.9824.3 125.88

19.3026.8 648.50

385.1976.4 1036.607.3780.5 105.4776.33122.7 106.48

115.24106.2 115.0492.3119.1 88.55

21.5782.3 102.76

80.0936.7 113.32

32.39108.2 87.19

124.09114.6 73.47

155.9966.4 53.36

124.4450.8 745.40

40.0645.9 76.47

60.03115.7 94.56

122.36

D Total

303 2158.3

162.2 1486.4

128 1903.6

170 1565.5

81.5 1925

56.6 1483.3

153.5 1144.9

79 1300.5

980.9

102 918.3

113 1316.3

110 1710.5

229.3 1660.8

179.5 1397.7

156 2171.8

60.5 1468.2

178.6 1629

240.3 2406.2

160.7 1832.9

1061.6

D Total

14.04 100

10.91 100

6.72 100

10.86 100

4.23 100

3.82 100

13.41 100

6.07 100

100

100

8.58 100

6.43 100

13.81 100

12.84 100

7.18 100

100

10.96 100

9.99 100

8.77 100

0.00 100148.63

8.74

D Total

303 2158.30

162.2 1486.40

128 1903.60

170 1565.50

81.5 1925.00

56.6 1483.30

153.5 1144.90

79 1300.50

108.40 1239.79

102 1111.19

113 1316.30

110 1710.50

229.3 1660.80

179.5 1397.70

156 2171.80

60.5 1775.63

178.6 1629.00

240.3 2406.20

160.7 1832.90

142.73 1632.46

X Yao mes pp

1969 ene 149.7feb 133.4 69 70 71 72mar 106.1 ene 149.7 179.4 185.6 198.9abr 66 feb 133.4 193 126.6 139.9may 17.6 mar 106.1 192.1 85.1 96.4jun 36.7 abr 66 153.3 25.9 107.5jul 13.4 may 17.6 35.3 37.2 12.4ago 8 jun 36.7 0.6 22.7 0sep 50.9 jul 13.4 25.4 50.2 2.2oct 47.2 ago 8 57.2 29.4 0nov 86.7 sep 50.9 72.3 55.8 45.2dic 174.1 oct 47.2 51.7 78.2 102.1

1970 ene 179.4 nov 86.7 40.9 192.4 133.1feb 193 dic 174.1 74.7 194.6 164.9mar 192.1abr 153.3may 35.3jun 0.6jul 25.4ago 57.2sep 72.3oct 51.7nov 40.9dic 74.7

1971 ene 185.6feb 126.6mar 85.1abr 25.9may 37.2jun 22.7jul 50.2ago 29.4sep 55.8oct 78.2 ene feb mar abrnov 192.4 69 149.7 133.4 106.1 66dic 194.6 70 179.4 193 192.1 153.3

1972 ene 198.9 71 185.6 126.6 85.1 25.9feb 139.9 72 198.9 139.9 96.4 107.5mar 96.4 73 94.5 89.3 88.7 43.3abr 107.5 74 162 38.6 33.5 33.5may 12.4 75 50.2 49.5 99.8 29.1jun 0 76 45.6 43.9 31.1 25.9jul 2.2 77 79.4 72.9 83.5 34.6ago 0 78 88.1 100.8 64.6 80.1sep 45.2 79 106.2 96.7 62.8 48.3oct 102.1 80 52.9 68.2 51.3 52.6nov 133.1 81 75.6 104 45.5 26.6dic 164.9 82 95.7 70.3 48.6 28.9

Precipitacion media mensual - Estacion Pallanga (datos luego de Trasponer)

Precipitacion media mensual - Estacion Pallanga (datos originales)

1973 ene 94.5 83 112.9 125.6 90.2 61.8feb 89.3mar 88.7abr 43.3may 6.9jun 4.2jul 1.5ago 39.1sep 41.4oct 55.1nov 116.4dic 55.3

1974 ene 162feb 38.6mar 33.5abr 33.5may 33jun 31.9jul 11.9ago 39.2 PERIODO ENE/69 - DIC/74sep 45.4 M1 75.02oct 116 S1 58.65 3439.36882nov 99.7 N1 72.00dic 68.9 PERIODO ENE/75 - DIC/83

1975 ene 50.2 M2 43.45feb 49.5 S2 33.01 1089.34868mar 99.8 N2 108.00abr 29.1 GL 178

may 27.1 T calc 4.61jun 29 T tabla 1.9734jul 2.4 GL Numerador 71.00ago 0 GL Denominador 107.00sep 69.9 F cal 3.1573oct 48.8 F tab 1.4199nov 52.9 CONCLUSION: SE DEBE CORREGIR EL PRIMER PERIODOdic 49.1

1976 ene 45.6 CONSISTENCIA EN MEDIAfeb 43.9mar 31.1abr 25.9may 18.9jun 30.8jul 7.9ago 8.7sep 52.5oct 64.1nov 89.3dic 66.6

1977 ene 79.4feb 72.9

19690 0 0 0 019700 0 0 0 019710 0 0 0 019720 0 0 0 019730 0 0 0 019740 0 0 0 019750 0 0 0 019760 0 0 0 019770 0 0 0 019780 0 0 0 019790 0 0 0 019800 0 0 0 019810 0 0 0 019820 0 0 0 019830 0 0 0 00

50

100

150

200

250

Serie de tiempo de Precip. - Est. Pallanga (datos originales)

Tiempo

Precip. N1N2

N1N2

Prueba estadstica "T" de Student, para comprobar si muestras provienen de misma poblacin.

Procedimiento: determinacin de media y desviacin estndar para cada perodo (confiable y dudoso); clculo de desviacin estndar de promedios (Sd) y desviacin estndar ponderada (Sp):

Sd = Sp(1/n1 + 1/n2)1/2 (n1 - 1)S12 + (n2 - 1)S22 (x1 - x2) - (u1 - u2)Sp = {--------------------}1/2; Tc = ----------------

n1 + n2 - 2 sd

mar 83.5abr 34.6may 10.7jun 32.6jul 13.3ago 17.3sep 35.1oct 79.4nov 125.6dic 84.1

1978 ene 88.1feb 100.8mar 64.6abr 80.1may 19.8jun 1.6jul 0ago 8.4sep 34.3oct 42.6nov 38.2dic 89.7

1979 ene 106.2feb 96.7 sp = 45.02mar 62.8abr 48.3 sd= 6.85may 7.1jun 0 tc= 4.61jul 10.5ago 2.8 CONSISTENCIA EN DESVIACION ESTNDARsep 19.6oct 30.2nov 41.9dic 76.7

1980 ene 52.9feb 68.2mar 51.3abr 52.6may 8.6jun 0jul 0ago 5.4sep 9.8oct 26.7nov 35.7

dic 38.2

1981 ene 75.6

feb 104

mar 45.5

Se realiza mediante prueba estadstica "F" de Fisher;Determinacin de "F" calculado (Fc):

Fc = S12/S22 Si S1 > S2 y Fc = S22/S12 Si S1 < S2

Determinacin de "F" tabular (Ft), al 95% de probabilidad ( = 0,05) y con (n1 - 1) (n2-1) grados de libertad del numerador y (n2 - 1) (n1-1) grados de libertad del denominador, respectivamente.Luego, se comparan valores de Fc y Ft, tomando los siguientes Criterios de Decisin:

Si Fc Ft S 1 = S2 El salto no es significativo y no existe diferencia estadstica en la desviacin estndar. Si Fc > Ft S1 S 2 El salto es significativo, existe diferencia estadstica y es necesario su correccin.

Si [Tc] Tt X1 = X2 Salto no es significativo. Si [Tc] > Tt X1 X2 Salto es significativo, medias muestrales son diferentes estadsticamente, es necesario su correccin.

Sd : desviacin estndar de promedios.Sp : desviacin estndar ponderada.x1 y x2 : medias de perodos 1 y 2 S1 y S2 : desviacin estndar de perodos 1 y 2.n1, n2 : extensin de perodos 1 y 2 analizados.u1, u2 : medias poblacionales de perodos 1 y 2.

abr 26.6

may 8jun 0.7jul 1.5ago 26.2sep 62.6oct 44nov 48.8dic 71.4

1982 ene 95.7feb 70.3mar 48.6abr 28.9may 7.3jun 0.5jul 0ago 0sep 2oct 47.5nov 57.8dic 49.3

1983 ene 112.9feb 125.6mar 90.2abr 61.8may 10.7jun 3.7jul 18.4ago 4.9sep 42.6oct 44.1nov 82.8dic 89.8

1984

Ao E F M1982 243.8 228.9 311.91983 76.3 59 219.61984 327.3 301 134.51985 132 230 269.91986 152.6 327.5 405.21987 114.3 133 82.9

1988 56.1 131.5 1841989 139.7 217 164.51990 104.1 110.7 242.21991 23.1 140.4 236.21992 112 143.6 173.51993 242 177 2531994 228.4 63.6 273.81995 40 119.2 230.61996 299.7 502 303.21997 167.1 238.4 438.51998 28.2 120.1 2221999 409 302 253.12000 99.7 334.2 219.22001 222.8 222.1 113.8

73 74 75 76 77 78 79 8094.5 162 50.2 45.6 79.4 88.1 106.2 52.989.3 38.6 49.5 43.9 72.9 100.8 96.7 68.288.7 33.5 99.8 31.1 83.5 64.6 62.8 51.343.3 33.5 29.1 25.9 34.6 80.1 48.3 52.66.9 33 27.1 18.9 10.7 19.8 7.1 8.64.2 31.9 29 30.8 32.6 1.6 0 01.5 11.9 2.4 7.9 13.3 0 10.5 0

39.1 39.2 0 8.7 17.3 8.4 2.8 5.441.4 45.4 69.9 52.5 35.1 34.3 19.6 9.855.1 116 48.8 64.1 79.4 42.6 30.2 26.7116.4 99.7 52.9 89.3 125.6 38.2 41.9 35.755.3 68.9 49.1 66.6 84.1 89.7 76.7 38.2

may jun jul ago sep oct nov dic17.6 36.7 13.4 8 50.9 47.2 86.7 174.135.3 0.6 25.4 57.2 72.3 51.7 40.9 74.737.2 22.7 50.2 29.4 55.8 78.2 192.4 194.612.4 0 2.2 0 45.2 102.1 133.1 164.96.9 4.2 1.5 39.1 41.4 55.1 116.4 55.333 31.9 11.9 39.2 45.4 116 99.7 68.9

27.1 29 2.4 0 69.9 48.8 52.9 49.118.9 30.8 7.9 8.7 52.5 64.1 89.3 66.610.7 32.6 13.3 17.3 35.1 79.4 125.6 84.119.8 1.6 0 8.4 34.3 42.6 38.2 89.77.1 0 10.5 2.8 19.6 30.2 41.9 76.78.6 0 0 5.4 9.8 26.7 35.7 38.28 0.7 1.5 26.2 62.6 44 48.8 71.4

7.3 0.5 0 0 2 47.5 57.8 49.3

Precipitacion media mensual - Estacion Pallanga (datos luego de Trasponer)

Precipitacion media mensual - Estacion Pallanga (datos originales)

10.7 3.7 18.4 4.9 42.6 44.1 82.8 89.8

19690 0 0 0 019700 0 0 0 019710 0 0 0 019720 0 0 0 019730 0 0 0 019740 0 0 0 019750 0 0 0 019760 0 0 0 019770 0 0 0 019780 0 0 0 019790 0 0 0 019800 0 0 0 019810 0 0 0 019820 0 0 0 019830 0 0 0 00

50

100

150

200

250


Tiempo

Precip. N1N2

N1N2




n1 + n2 - 2 sd

Se realiza mediante prueba estadstica "F" de Fisher;Determinacin de "F" calculado (Fc):

Fc = S12/S22 Si S1 > S2 y Fc = S22/S12 Si S1 < S2

Determinacin de "F" tabular (Ft), al 95% de probabilidad ( = 0,05) y con (n1 - 1) (n2-1) grados de libertad del numerador y (n2 - 1) (n1-1) grados de libertad del denominador, respectivamente.Luego, se comparan valores de Fc y Ft, tomando los siguientes Criterios de Decisin:

Si Fc Ft S 1 = S2 El salto no es significativo y no existe diferencia estadstica en la desviacin estndar. Si Fc > Ft S1 S 2 El salto es significativo, existe diferencia estadstica y es necesario su correccin.

Si [Tc] Tt X1 = X2 Salto no es significativo. Si [Tc] > Tt X1 X2 Salto es significativo, medias muestrales son diferentes estadsticamente, es necesario su correccin.

Sd : desviacin estndar de promedios.Sp : desviacin estndar ponderada.x1 y x2 : medias de perodos 1 y 2 S1 y S2 : desviacin estndar de perodos 1 y 2.n1, n2 : extensin de perodos 1 y 2 analizados.u1, u2 : medias poblacionales de perodos 1 y 2.

A M J J A S O N214.2 55.5 193.4 7 89.7 189.5 117.4 204

125 191.7 103.8 18 51 85.7 68.1 32695 54.2 96.5 45 46 87.5 198.1 390.5

62.3 46 31 64 18 111.7 215 215.6135 158 25 4.5 44 39 232.7 320

382.8 60 138.4 70.8 58.2 79.6 141.7 165

96.3 101.1 75.4 19 28.4 41.7 111.9 14611 116 215.3 59.2 48.6 25.9 118 106.3

172 63 65 41.3 53 71.6 58 150.494791.8 105.8 65.22516 33.29623 31.6982 62.672084469 46.5 172.5

56 48.2 35 27 67 187 124 230199 30 64 112 56.5 73 140 254

196.8 85.6 89.6 9.7 0 48.8 254.6 180.6190.8 66.4 101.7 42.7 54.1 62.6 183.4 126.7144.6 104.4 59.8 37.2 104.1 124.2 128.5 208.1185.9 100.1 104.2265 53.2057 50.7 90.2 149.9963 136.8285.9 162.5 44.6 19.3 34.1 199.1 140.8 193.8251.2 346.9 45.2 31.7 45.2 216.1 68.9 196.6337.3 95.5 92.6 92.4 46.7 69 100.4 185.2192.7 64.9 122.4 108.7 14.2 92.072069045 137.9022 198.16

81 82 8375.6 95.7 112.9104 70.3 125.645.5 48.6 90.226.6 28.9 61.8

8 7.3 10.70.7 0.5 3.71.5 0 18.4

26.2 0 4.962.6 2 42.644 47.5 44.1

48.8 57.8 82.871.4 49.3 89.8

Precipitacion media mensual - Estacion Pallanga (datos corregidos)ene feb mar abr

69 85.48 76.30 60.94 38.3770 102.19 109.85 109.34 87.5071 105.68 72.48 49.12 15.8072 113.17 79.96 55.48 61.7373 54.41 51.48 51.15 25.6074 92.40 22.95 20.08 20.0875 50.20 49.50 99.80 29.1076 45.60 43.90 31.10 25.9077 79.40 72.90 83.50 34.6078 88.10 100.80 64.60 80.1079 106.20 96.70 62.80 48.3080 52.90 68.20 51.30 52.6081 75.60 104.00 45.50 26.6082 95.70 70.30 48.60 28.90

(datos luego de Trasponer)

83 112.90 125.60 90.20 61.80

ENE 85.477252FEB 76.3038234MAR 60.9397375ABR 38.3719775MAY 11.1330852JUN 21.8823175JUL 8.76937964AGO 5.73032967SEP 29.8738933OCT 27.7915813NOV 50.0216691DIC 99.2092556ENE 102.19FEB 109.85MAR 109.34ABR 87.50MAY 21.09JUN 1.57JUL 15.52AGO 33.42SEP 41.92OCT 30.32NOV 24.25DIC 43.27ENE 105.68FEB 72.48ABR 15.80MAY 22.16JUN 14.00JUL 29.48AGO 17.77SEP 32.63OCT 45.24NOV 109.51DIC 110.75ENE 113.17FEB 79.96MAR 55.48ABR 61.73MAY 8.21JUN 1.23JUL 2.47AGO 1.23SEP 26.67OCT 58.69NOV 76.13DIC 94.03ENE 54.41

19690 0 0 0 019700 0 0 0 019710 0 0 0 019720 0 0 0 019730 0 0 0 019740 0 0 0 019750 0 0 0 019760 0 0 0 019770 0 0 0 019780 0 0 0 019790 0 0 0 019800 0 0 0 019810 0 0 0 019820 0 0 0 019830 0 0 0 00

50

100

150

200

250


Tiempo

Precip. N1N2

N1N2

0

20

40

60

80

100

120

140

Precip. Media Mensual - Esta. Pallanga (corregido)

Tiempo

Pp




n1 + n2 - 2 sd

FEB 51.48MAR 51.15ABR 25.60MAY 5.11JUN 3.59JUL 2.07AGO 23.23SEP 24.53OCT 32.24NOV 66.74DIC 32.35ENE 92.40FEB 22.95MAR 20.08ABR 20.08MAY 19.80JUN 19.18JUL 7.93AGO 23.29SEP 26.78OCT 66.51NOV 57.34DIC 40.00ENE 50.20FEB 49.50MAR 99.80ABR 29.10MAY 27.10JUN 29.00JUL 2.40AGO 0.00SEP 69.90OCT 48.80NOV 52.90DIC 49.10ENE 45.60FEB 43.90MAR 31.10ABR 25.90MAY 18.90JUN 30.80JUL 7.90AGO 8.70SEP 52.50OCT 64.10NOV 89.30DIC 66.60ENE 79.40FEB 72.90

MAR 83.50ABR 34.60MAY 10.70JUN 32.60JUL 13.30AGO 17.30SEP 35.10OCT 79.40NOV 125.60DIC 84.10ENE 88.10FEB 100.80MAR 64.60ABR 80.10MAY 19.80JUN 1.60JUL 0.00AGO 8.40SEP 34.30OCT 42.60NOV 38.20DIC 89.70ENE 106.20FEB 96.70MAR 62.80ABR 48.30MAY 7.10JUN 0.00JUL 10.50AGO 2.80SEP 19.60OCT 30.20NOV 41.90DIC 76.70ENE 52.90FEB 68.20MAR 51.30ABR 52.60MAY 8.60JUN 0.00JUL 0.00AGO 5.40SEP 9.80OCT 26.70NOV 35.70DIC 38.20ENE 75.60FEB 104.00MAR 45.50ABR 26.60

MAY 8.00JUN 0.70JUL 1.50AGO 26.20SEP 62.60OCT 44.00NOV 48.80DIC 71.40ENE 95.70FEB 70.30MAR 48.60ABR 28.90MAY 7.30JUN 0.50JUL 0.00AGO 0.00SEP 2.00OCT 47.50NOV 57.80DIC 49.30ENE 112.90FEB 125.60MAR 90.20ABR 61.80MAY 10.70JUN 3.70JUL 18.40AGO 4.90SEP 42.60OCT 44.10NOV 82.80DIC 89.80

D Total303 2158.3

162.2 1486.4128 1903.6170 1565.581.5 192556.6 1483.3

153.5 1144.979 1300.5

108.3951656458 1239.79102 1111.192113 1316.3110 1710.5

229.3 1660.8179.5 1397.7

156 2171.860.5 1775.629

178.6 1629240.3 2406.2160.7 1832.9

142.7264814871 1632.461

Precipitacion media mensual - Estacion Pallanga (datos corregidos)may jun jul ago sep oct nov dic11.13 21.88 8.77 5.73 29.87 27.79 50.02 99.2121.09 1.57 15.52 33.42 41.92 30.32 24.25 43.2722.16 14.00 29.48 17.77 32.63 45.24 109.51 110.758.21 1.23 2.47 1.23 26.67 58.69 76.13 94.035.11 3.59 2.07 23.23 24.53 32.24 66.74 32.35

19.80 19.18 7.93 23.29 26.78 66.51 57.34 40.0027.10 29.00 2.40 0.00 69.90 48.80 52.90 49.1018.90 30.80 7.90 8.70 52.50 64.10 89.30 66.6010.70 32.60 13.30 17.30 35.10 79.40 125.60 84.1019.80 1.60 0.00 8.40 34.30 42.60 38.20 89.707.10 0.00 10.50 2.80 19.60 30.20 41.90 76.708.60 0.00 0.00 5.40 9.80 26.70 35.70 38.208.00 0.70 1.50 26.20 62.60 44.00 48.80 71.407.30 0.50 0.00 0.00 2.00 47.50 57.80 49.30

10.70 3.70 18.40 4.90 42.60 44.10 82.80 89.80

0

20

40

60

80

100

120

140


Tiempo

Pp

020

40

60

80

100

120

140


Tiempo

Pp

Hoja1Hoja1 (2)Pca 2,Ejem 1

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