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FORMULAS PROMEDIO RANGOS MÓVILES PROMEDIO DE LOS RANGOS MOVILES LÍMITES DE CONTROL MED. IND. LÍMITES DE CONTROL RANG. MOV.

Asignación de Promedio Con Lc

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Asignación de un promedio mediante límites de control enfocado a mediciones de la producción de un pozo petrolero.

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Page 1: Asignación de Promedio Con Lc

FORMULASPROMEDIO RANGOS MÓVILES

PROMEDIO DE LOS RANGOS MOVILES

LÍMITES DE CONTROL MED. IND. LÍMITES DE CONTROL RANG. MOV.

Page 2: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 203DATOS DE LA MUESTRA (x)

BPD FECHA μ (media) LC

--------------------- 5-Mar-15 292.6875289 11-Mar-15 292.6875300 15-Mar-15 292.6875256 17-Mar-15 292.6875

μ (media) 292.6875 274 19-Mar-15 292.6875σ (desviación estándar) 17.58562 283 24-Mar-15 292.6875(μ+σ) 310.27312 256 26-Mar-15 292.6875(μ-σ) 275.10188 314 27-Mar-15 292.6875d2 1.128 270 29-Mar-15 292.6875D3 0 311 30-Mar-15 292.6875D4 3.267 282 31-Mar-15 292.6875

297 2-Apr-15 292.6875290 4-Apr-15 292.6875

| 295 6-Apr-15 292.6875330 8-Apr-15 292.6875291 9-Apr-15 292.6875292 11-Apr-15 292.6875285 13-Apr-15 292.6875288 15-Apr-15 292.6875288 16-Apr-15 292.6875300 19-Apr-15 292.6875300 21-Apr-15 292.6875300 23-Apr-15 292.6875337 25-Apr-15 292.6875297 26-Apr-15 292.6875290 28-Apr-15 292.6875286 6-May-15 292.6875298 10-May-15 292.6875313 11-May-15 292.6875285 19-May-15 292.6875283 20-May-15 292.6875275 21-May-15 292.6875311 22-May-15 292.6875

----------------------------------- 24-May-15 292.6875

GRAFICA X-s ( 1σ)

Page 3: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 34DATOS DE LA MUESTRA (x)

BPD FECHA μ (media) LC----------------------- 18-Mar-15 218.125

μ (media) 218.125 214 26-Mar-15 218.125σ (desviación estándar) 15.823506 198 27-Mar-15 218.125(μ+σ) 233.94851 228 31-Mar-15 218.125(μ-σ) 202.30149 244 3-Apr-15 218.125

GRAFICA X-s ( 1σ)

Page 4: Asignación de Promedio Con Lc

d2 1.128 232 7-Apr-15 218.125D3 0 201 14-Apr-15 218.125D4 3.267 230 21-Apr-15 218.125

228 6-May-15 218.125236 10-May-15 218.125229 11-May-15 218.125234 13-May-15 218.125203 19-May-15 218.125204 20-May-15 218.125205 21-May-15 218.125206 22-May-15 218.125198 23-May-15 218.125

------------------------- 24-May-15 218.125

Page 5: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 203RANGOS MÓVILES MEDICIONES INDIVIDUALES

(μ+σ) LCS (μ-σ)LCI Rm Rmi prom. UCL Rm CL Rm LCL Rm UCLx

310.27312 275.10188 ------------ 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 11 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 44 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 18 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 9 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 27 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 58 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 44 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 41 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 29 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 15 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 7 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 5 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 35 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 39 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 1 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 7 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 3 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 0 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 12 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 0 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 0 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 37 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 40 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 7 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 4 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 12 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 15 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 28 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 2 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 8 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 36 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 ---------- 19.1612903 62.5999355 19.1612903 0 343.648379310.27312 275.10188 --------- 19.5714286 62.5999355 19.1612903 0 343.648379

GRAFICA X-s ( 1σ)

Page 6: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 34RANGOS MÓVILES MEDICIONES INDIVIDUALES

(μ+σ) LCS (μ-σ)LCI Rm Rmi prom. UCL Rm CL Rm LCL Rm UCLx233.948506 202.301494 -------------- 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 16 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 30 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 16 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 12 13.2 43.1244 13.2 0 253.231383

GRAFICA X-s ( 1σ)

Page 7: Asignación de Promedio Con Lc

233.948506 202.301494 31 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 29 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 2 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 8 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 7 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 5 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 31 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 1 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 1 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 1 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 8 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 ------------ 13.2 43.1244 13.2 0 253.231383233.948506 202.301494 ------------- 17 43.1244 13.2 0 253.231383

Page 8: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 203MEDICIONES INDIVIDUALES VALORES DENTRO DE LOS LÍMITES DE CONTROL

CLx LCLx MUESTRA DENTRO DE LC RANGOS DENTRO DE LC

292.6875 241.7266214825 0 0292.6875 241.7266214825 289 11292.6875 241.7266214825 300 44292.6875 241.7266214825 0 18292.6875 241.7266214825 0 9292.6875 241.7266214825 283 27292.6875 241.7266214825 0 58292.6875 241.7266214825 0 44292.6875 241.7266214825 0 41292.6875 241.7266214825 0 29292.6875 241.7266214825 282 15292.6875 241.7266214825 297 7292.6875 241.7266214825 290 5292.6875 241.7266214825 295 35292.6875 241.7266214825 0 39292.6875 241.7266214825 291 1292.6875 241.7266214825 292 7292.6875 241.7266214825 285 3292.6875 241.7266214825 288 0292.6875 241.7266214825 288 12292.6875 241.7266214825 300 0292.6875 241.7266214825 300 0292.6875 241.7266214825 300 37292.6875 241.7266214825 0 40292.6875 241.7266214825 297 7292.6875 241.7266214825 290 4292.6875 241.7266214825 286 12292.6875 241.7266214825 298 15292.6875 241.7266214825 0 28292.6875 241.7266214825 285 2292.6875 241.7266214825 283 8292.6875 241.7266214825 0 36292.6875 241.7266214825 0 0292.6875 241.7266214825 0 0

SUMATORIA 6119 594

Page 9: Asignación de Promedio Con Lc

PROMEDIO 291 21

PRODUCCIÓN SANTA AGUEDA 34MEDICIONES INDIVIDUALES VALORES DENTRO DE LOS LÍMITES DE CONTROL

CLx LCLx MUESTRA DENTRO DE LC RANGOS DENTRO DE LC218.125 183.01861702128 0 0218.125 183.01861702128 214 16218.125 183.01861702128 0 30218.125 183.01861702128 228 16218.125 183.01861702128 0 12

Page 10: Asignación de Promedio Con Lc

218.125 183.01861702128 232 31218.125 183.01861702128 0 29218.125 183.01861702128 230 2218.125 183.01861702128 228 8218.125 183.01861702128 0 7218.125 183.01861702128 229 5218.125 183.01861702128 0 31218.125 183.01861702128 203 1218.125 183.01861702128 204 1218.125 183.01861702128 205 1218.125 183.01861702128 206 8218.125 183.01861702128 0 0218.125 183.01861702128 0 0

SUMATORIA 2179 198PROMEDIO 218 13

Page 11: Asignación de Promedio Con Lc

PRODUCCIÓN SANTA AGUEDA 203VALORES DENTRO DE LOS LÍMITES DE CONTROL

MED.IND. DENTRO DE LC

0289300256274283256314270311282297290295330291292285288288300300300337297290286298313285283275311

09366

Page 12: Asignación de Promedio Con Lc

293

PRODUCCIÓN SANTA AGUEDA 34VALORES DENTRO DE LOS LÍMITES DE CONTROL

MED.IND. DENTRO DE LC0

214198228244

Page 13: Asignación de Promedio Con Lc

232201230228236229234203204205206198

03490

218

Page 14: Asignación de Promedio Con Lc

% AGUA SANTA AGUEDA 203DATOS DE LA MUESTRA (x)

% AGUA FECHA μ (media) LC (μ+σ) LCS----------- 12/29/2014 0.17142857 0.34583232

0.2 1/2/2015 0.17142857 0.345832320.1 1/5/2015 0.17142857 0.345832320.1 1/7/2015 0.17142857 0.345832320.1 1/9/2015 0.17142857 0.345832320.1 1/12/2015 0.17142857 0.345832320.8 1/16/2015 0.17142857 0.345832320.1 1/21/2015 0.17142857 0.345832320.5 2/6/2015 0.17142857 0.34583232

μ (media) 0.17142857 0.6 2/9/2015 0.17142857 0.34583232σ (desviación es 0.17440375 0.8 2/11/2015 0.17142857 0.34583232(μ+σ) 0.34583232 0.3 2/13/2015 0.17142857 0.34583232(μ-σ) -0.00297517 0.1 2/16/2015 0.17142857 0.34583232d2 1.128 0.1 2/18/2015 0.17142857 0.34583232D3 0 0.1 2/20/2015 0.17142857 0.34583232D4 3.267 0.1 3/2/2015 0.17142857 0.34583232

0.5 3/6/2015 0.17142857 0.345832320.1 3/9/2015 0.17142857 0.345832320.1 3/11/2015 0.17142857 0.345832320.1 3/16/2015 0.17142857 0.345832320.4 3/30/2015 0.17142857 0.345832320.1 3/31/2015 0.17142857 0.345832320.1 3/31/2015 0.17142857 0.345832320.1 4/1/2015 0.17142857 0.345832320.1 4/1/2015 0.17142857 0.345832320.1 4/3/2015 0.17142857 0.345832320.1 4/7/2015 0.17142857 0.345832320.1 4/8/2015 0.17142857 0.345832320.1 4/10/2015 0.17142857 0.345832320.1 4/12/2015 0.17142857 0.345832320.1 4/13/2015 0.17142857 0.345832320.1 4/14/2015 0.17142857 0.345832320.1 4/15/2015 0.17142857 0.345832320.2 4/17/2015 0.17142857 0.345832320.1 4/21/2015 0.17142857 0.345832320.1 4/23/2015 0.17142857 0.345832320.1 4/24/2015 0.17142857 0.345832320.1 4/28/2015 0.17142857 0.34583232

GRAFICA X-s ( 1σ)

Page 15: Asignación de Promedio Con Lc

0.1 4/29/2015 0.17142857 0.345832320.1 5/4/2015 0.17142857 0.345832320.1 5/4/2015 0.17142857 0.345832320.1 5/6/2015 0.17142857 0.345832320.2 5/11/2015 0.17142857 0.345832320.1 5/12/2015 0.17142857 0.345832320.1 5/19/2015 0.17142857 0.345832320.1 5/19/2015 0.17142857 0.345832320.1 5/19/2015 0.17142857 0.345832320.1 5/20/2015 0.17142857 0.345832320.1 5/20/2015 0.17142857 0.345832320.1 5/20/2015 0.17142857 0.34583232

----------- 5/17/2015 0.17142857 0.34583232

% AGUA SANTA AGUEDA 34DATOS DE LA MUESTRA (x)

% AGUA FECHA μ (media) LC (μ+σ) LCS------------ 12/20/2014 34.5510204 39.7031285

25 1/2/2015 34.5510204 39.703128535 1/5/2015 34.5510204 39.703128530 1/7/2015 34.5510204 39.703128540 1/9/2015 34.5510204 39.703128535 1/12/2015 34.5510204 39.703128538 1/14/2015 34.5510204 39.7031285

GRAFICA X-s ( 1σ)

Page 16: Asignación de Promedio Con Lc

30 1/27/2015 34.5510204 39.703128540 2/2/2015 34.5510204 39.703128535 2/6/2015 34.5510204 39.703128530 2/9/2015 34.5510204 39.7031285

μ (media) 34.5510204 40 2/11/2015 34.5510204 39.7031285σ (desviación es 5.15210808 40 2/18/2015 34.5510204 39.7031285(μ+σ) 39.7031285 25 2/20/2015 34.5510204 39.7031285(μ-σ) 29.3989123 40 2/23/2015 34.5510204 39.7031285d2 1.128 35 3/4/2015 34.5510204 39.7031285D3 0 40 3/6/2015 34.5510204 39.7031285D4 3.267 30 3/9/2015 34.5510204 39.7031285

25 3/11/2015 34.5510204 39.703128535 3/14/2015 34.5510204 39.703128535 3/16/2015 34.5510204 39.703128530 3/20/2015 34.5510204 39.703128530 3/23/2015 34.5510204 39.703128535 3/25/2015 34.5510204 39.703128540 3/30/2015 34.5510204 39.703128530 3/31/2015 34.5510204 39.703128535 4/1/2015 34.5510204 39.703128530 4/6/2015 34.5510204 39.703128540 4/8/2015 34.5510204 39.703128530 4/10/2015 34.5510204 39.703128540 4/12/2015 34.5510204 39.703128540 4/14/2015 34.5510204 39.703128530 4/15/2015 34.5510204 39.703128530 4/17/2015 34.5510204 39.703128535 4/20/2015 34.5510204 39.703128535 4/22/2015 34.5510204 39.703128530 4/24/2015 34.5510204 39.703128540 4/29/2015 34.5510204 39.703128530 5/1/2015 34.5510204 39.703128540 5/4/2015 34.5510204 39.703128535 5/6/2015 34.5510204 39.703128535 5/8/2015 34.5510204 39.703128535 5/13/2015 34.5510204 39.703128540 5/19/2015 34.5510204 39.703128540 5/19/2015 34.5510204 39.703128540 5/19/2015 34.5510204 39.703128540 5/19/2015 34.5510204 39.703128540 5/20/2015 34.5510204 39.703128520 5/20/2015 34.5510204 39.703128535 5/20/2015 34.5510204 39.7031285

-------------- 5/18/2015 34.5510204 39.7031285

Page 17: Asignación de Promedio Con Lc

% AGUA SANTA AGUEDA 203RANGOS MÓVILES

(μ-σ)LCI Rm Rmi prom. UCL Rm CL Rm LCL Rm0 ------------- 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0.7 0.11190476 0.36559286 0.11190476 00 0.7 0.11190476 0.36559286 0.11190476 00 0.4 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0.2 0.11190476 0.36559286 0.11190476 00 0.5 0.11190476 0.36559286 0.11190476 00 0.2 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0.4 0.11190476 0.36559286 0.11190476 00 0.4 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0.3 0.11190476 0.36559286 0.11190476 00 0.3 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 0

GRAFICA X-s ( 1σ)

Page 18: Asignación de Promedio Con Lc

0 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0.1 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 0 0.11190476 0.36559286 0.11190476 00 -------------- 0.11190476 0.36559286 0.11190476 00 -------------- 0.11190476 0.36559286 0.11190476 0

% AGUA SANTA AGUEDA 34RANGOS MÓVILES

(μ-σ)LCI Rm Rmi prom. UCL Rm CL Rm LCL Rm29.3989123 ------------- 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 3 6.16666667 20.1465 6.16666667 029.3989123 8 6.16666667 20.1465 6.16666667 0

GRAFICA X-s ( 1σ)

Page 19: Asignación de Promedio Con Lc

29.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 15 6.16666667 20.1465 6.16666667 029.3989123 15 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 10 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 5 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 0 6.16666667 20.1465 6.16666667 029.3989123 20 6.16666667 20.1465 6.16666667 029.3989123 15 6.16666667 20.1465 6.16666667 029.3989123 ------------- 6.16666667 20.1465 6.16666667 029.3989123 ---------------- 6.16666667 20.1465 6.16666667 0

Page 20: Asignación de Promedio Con Lc

% AGUA SANTA AGUEDA 203MEDICIONES INDIVIDUALES

UCLx CLx LCLx0.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 0

Page 21: Asignación de Promedio Con Lc

0.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 00.469047619047619 0.171428571428571 0

SUMATORIAPROMEDIO

% AGUA SANTA AGUEDA 34MEDICIONES INDIVIDUALES

UCLx CLx LCLx50.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.1503111883051

Page 22: Asignación de Promedio Con Lc

50.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.150311188305150.9517296280214 34.5510204081633 18.1503111883051

SUMATORIA

Page 23: Asignación de Promedio Con Lc

PROMEDIO

Page 24: Asignación de Promedio Con Lc

% AGUA SANTA AGUEDA 203VALORES DENTRO DE LOS LÍMITES DE CONTROL

MUESTRA DENTRO DE LC RANGOS DENTRO DE LC MED.IND. DENTRO DE LC0 0 0

0.2 0.1 0.20.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.1

0 0 00.1 0 0.1

0 0.1 00 0.2 00 0 0

0.3 0.2 0.30.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.1

0 0 00.1 0 0.10.1 0 0.10.1 0.3 0.1

0 0.3 0.40.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0.1 0.10.2 0.1 0.20.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.1

Page 25: Asignación de Promedio Con Lc

0.1 0 0.10.1 0 0.10.1 0 0.10.1 0.1 0.10.2 0.1 0.20.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.10.1 0 0.1

0 0 04.8 1.6 5.20.1 0.2 0.1

% AGUA SANTA AGUEDA 34VALORES DENTRO DE LOS LÍMITES DE CONTROL

MUESTRA DENTRO DE LC RANGOS DENTRO DE LC MED.IND. DENTRO DE LC0 0 00 10 25

35 5 3530 10 30

0 5 4035 3 3538 8 38

Page 26: Asignación de Promedio Con Lc

30 10 300 5 40

35 5 3530 10 30

0 0 400 15 400 15 250 5 40

35 5 350 10 40

30 5 300 10 25

35 0 3535 5 3530 0 3030 5 3035 5 35

0 10 4030 5 3035 5 3530 10 30

0 10 4030 10 30

0 0 400 10 40

30 0 3030 5 3035 0 3535 5 3530 10 30

0 10 4030 10 30

0 5 4035 0 3535 0 3535 5 35

0 0 400 0 400 0 400 0 400 20 400 15 20

35 0 350 0 0

918 296 1693

Page 27: Asignación de Promedio Con Lc

33 9 35

Page 28: Asignación de Promedio Con Lc

05/03/15 15/03/15 25/03/15 04/04/15 14/04/15 24/04/15 04/05/15 14/05/15 24/05/15 03/06/15200

220

240

260

280

300

320

340

360

275.1018799581

310.2731200419

292.6875

PRODUCCIÓN S.A. 203LC (MEDIA)LCS(MEDIA + VARIANZA)LCI( MEDIA - VARIANZA)

BPD

Page 29: Asignación de Promedio Con Lc

05/03/15 15/03/15 25/03/15 04/04/15 14/04/15 24/04/15 04/05/15 14/05/15 24/05/15 03/06/15200

220

240

260

280

300

320

340

360

241.726621482498

292.6875

343.648378517502

MEDICIONES INDIVIDUALES PROD. S.A. 203

MEDICIONES IND. PROD. S.A. 203UCLxCLxLCLx

BPD

Page 30: Asignación de Promedio Con Lc

05/03/15 15/03/15 25/03/15 04/04/15 14/04/15 24/04/15 04/05/15 14/05/15 24/05/15 03/06/150

10

20

30

40

50

60

70

0

19.1612903225806

62.599935483871

RANGOS MÓVILES PROD. S.A. 203

RANGOS MOVILES PROD. S.A. 203UCL RmCL RmLCL Rm

BPD

Page 31: Asignación de Promedio Con Lc

29/12/14 18/01/15 07/02/15 27/02/15 19/03/15 08/04/15 28/04/15 18/05/150

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

0

0.345832317565707

0.171428571428571

% AGUA S.A. 203 LC LCS LCI

% A

GUA

Page 32: Asignación de Promedio Con Lc

01/01/15 21/01/15 10/02/15 02/03/15 22/03/15 11/04/15 01/05/15 21/05/150

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.171428571428571

0.469047619047619

MEDICIONES INDIVIDUALES % AGUA S.A. 203

MEDICIONES INDIVIDUALES % AGUA S.A. 203UCLxCLxLCLx

% A

GUA

Page 33: Asignación de Promedio Con Lc

01/01/15 21/01/15 10/02/15 02/03/15 22/03/15 11/04/15 01/05/15 21/05/150

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0

0.111904761904762

0.365592857142857

RANGOS MÓVILES % AGUA S.A. 203

RANGOS MÓVILES % AGUA S.A. 203UCL RmCL RmLCL Rm

% A

GUA

Page 34: Asignación de Promedio Con Lc

18/03/15 28/03/15 07/04/15 17/04/15 27/04/15 07/05/15 17/05/15 27/05/15170

180

190

200

210

220

230

240

250

202.301494278026

233.948505721974

218.125

PRODUCCIÓN S.A. 34

LC

LCS

LCI

BPD

Page 35: Asignación de Promedio Con Lc

18/03/15 28/03/15 07/04/15 17/04/15 27/04/15 07/05/15 17/05/15 27/05/150

5

10

15

20

25

30

35

40

45

50

0

13.2

43.1244

RANGOS MOVILES PROD. S.A. 34UCL RmCL RmLCL Rm

BPD

Page 36: Asignación de Promedio Con Lc

18/03/15 28/03/15 07/04/15 17/04/15 27/04/15 07/05/15 17/05/15 27/05/15150

170

190

210

230

250

270

183.018617021277

218.125

253.231382978723

MEDICIONES INDIVIDUALES PROD. S.A. 34UCLxCLxLCLx

BPD

Page 37: Asignación de Promedio Con Lc

20/12/14 09/01/15 29/01/15 18/02/15 10/03/15 30/03/15 19/04/15 09/05/15 29/05/1520

25

30

35

40

45

29.3989123263122

39.7031284900143

34.5510204081633

% AGUA S.A. 34 LC LCS LCI

% A

GUA

Page 38: Asignación de Promedio Con Lc

20/12/14 09/01/15 29/01/15 18/02/15 10/03/15 30/03/15 19/04/15 09/05/15 29/05/150

5

10

15

20

25

0

6.16666666666667

20.1465

RANGOS MÓVILES % AGUA S.A. 34

RANGOS MOVILES % AGUA S.A. 34 UCL Rm CL Rm LCL Rm

% A

GUA

Page 39: Asignación de Promedio Con Lc

20/12/14 09/01/15 29/01/15 18/02/15 10/03/15 30/03/15 19/04/15 09/05/15 29/05/150

10

20

30

40

50

60

18.1503111883051

34.5510204081633

50.9517296280214

MEDICIONES INDIVIDUALES % AGUA S.A. 34

MEDICIONES INDIVIDUALES % AGUA S.A. 34 UCLxCLx LCLx

% A

GUA