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Gráficos de Control Valores Individuales de X y R

Graficos de Control1

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  • Grficos de ControlValores Individuales de X y R

  • Valores IndividualesSe usan cuando es posible una sola observacin por loteNo es tan sensible como los de promediosSe usan lmites de control 2se pueden comparar directamente con las tolerancias

  • MetodologaTomar 30 valoresCalcular la media de todas XCalcular los recorridos cada 2 valoresCalcular la media de los recorridosCalcular los lmites de controlEfectuar la grfica

  • Lmites de controlPara xLCC = XLC(SI) = X 2/3 R*2.66Para RLCC = RLSC = D4RLIC = D3R

  • EjemploUn proceso de fabricacin por lotes se controla por medicin de la viscosidad.Se hacen dos lotes por daSe desea examinar los resultados lote a loteRealizar el grfico de control

  • Ejemplo para valores individuales

    x

    x

    x

    x

    x

    1

    133.5

    124

    132.5

    118

    127.5

    2

    117.5

    126.5

    130.5

    126.5

    133.5

    1

    131.5

    124

    137

    132.5

    133

    2

    128.5

    124

    143.5

    133.5

    126. 5

    1

    126

    121.5

    135.5

    136

    127.5

    2

    135.5

    131

    131.5

    128

    126

    7

  • Hoja1

    muestrax1x2RLSCXLCXLICXLSCRLCRLICR

    1133.5117.516.0144.30129.4114.5018.315.60

    2124.0126.52.5144.30129.4114.5018.315.60

    3132.5130.52.0144.30129.4114.5018.315.60

    4118.0126.58.5144.30129.4114.5018.315.60

    5127.5133.56.0144.30129.4114.5018.315.60

    6131.5128.53.0144.30129.4114.5018.315.60

    7124.0124.00.0144.30129.4114.5018.315.60

    8137.0143.56.5144.30129.4114.5018.315.60

    9132.5133.51.0144.30129.4114.5018.315.60

    10133.0126.56.5144.30129.4114.5018.315.60

    11126.0135.59.5144.30129.4114.5018.315.60

    12121.5131.09.5144.30129.4114.5018.315.60

    13135.5131.54.0144.30129.4114.5018.315.60

    14136.0128.08.0144.30129.4114.5018.315.60

    15127.5126.01.5144.30129.4114.5018.315.60

    medias129.45.6

    Hoja1

    Hoja2

    xLSCXLCXLICX

    133.5144.30129.4114.50

    124.0144.30129.4114.50

    132.5144.30129.4114.50

    118.0144.30129.4114.50

    127.5144.30129.4114.50

    131.5144.30129.4114.50

    124.0144.30129.4114.50

    137.0144.30129.4114.50

    132.5144.30129.4114.50

    133.0144.30129.4114.50

    126.0144.30129.4114.50

    121.5144.30129.4114.50

    135.5144.30129.4114.50

    136.0144.30129.4114.50

    127.5144.30129.4114.50

    117.5144.30129.4114.50

    126.5144.30129.4114.50

    130.5144.30129.4114.50

    126.5144.30129.4114.50

    133.5144.30129.4114.50

    128.5144.30129.4114.50

    124.0144.30129.4114.50

    143.5144.30129.4114.50

    133.5144.30129.4114.50

    126.5144.30129.4114.50

    135.5144.30129.4114.50

    131.0144.30129.4114.50

    131.5144.30129.4114.50

    128.0144.30129.4114.50

    126.0144.30129.4114.50

    Hoja2

    x

    LSCX

    LCX

    LICX

    Hoja3

  • Grfico1

    133.5144.296129.4114.504

    124144.296129.4114.504

    132.5144.296129.4114.504

    118144.296129.4114.504

    127.5144.296129.4114.504

    131.5144.296129.4114.504

    124144.296129.4114.504

    137144.296129.4114.504

    132.5144.296129.4114.504

    133144.296129.4114.504

    126144.296129.4114.504

    121.5144.296129.4114.504

    135.5144.296129.4114.504

    136144.296129.4114.504

    127.5144.296129.4114.504

    117.5144.296129.4114.504

    126.5144.296129.4114.504

    130.5144.296129.4114.504

    126.5144.296129.4114.504

    133.5144.296129.4114.504

    128.5144.296129.4114.504

    124144.296129.4114.504

    143.5144.296129.4114.504

    133.5144.296129.4114.504

    126.5144.296129.4114.504

    135.5144.296129.4114.504

    131144.296129.4114.504

    131.5144.296129.4114.504

    128144.296129.4114.504

    126144.296129.4114.504

    x

    LSCX

    LCX

    LICX

    Hoja1

    muestrax1x2RLSCXLCXLICXLSCRLCRLICR

    1133.5117.516.0144.30129.4114.5018.315.60

    2124.0126.52.5144.30129.4114.5018.315.60

    3132.5130.52.0144.30129.4114.5018.315.60

    4118.0126.58.5144.30129.4114.5018.315.60

    5127.5133.56.0144.30129.4114.5018.315.60

    6131.5128.53.0144.30129.4114.5018.315.60

    7124.0124.00.0144.30129.4114.5018.315.60

    8137.0143.56.5144.30129.4114.5018.315.60

    9132.5133.51.0144.30129.4114.5018.315.60

    10133.0126.56.5144.30129.4114.5018.315.60

    11126.0135.59.5144.30129.4114.5018.315.60

    12121.5131.09.5144.30129.4114.5018.315.60

    13135.5131.54.0144.30129.4114.5018.315.60

    14136.0128.08.0144.30129.4114.5018.315.60

    15127.5126.01.5144.30129.4114.5018.315.60

    medias129.45.6

    Hoja1

    Hoja2

    xLSCXLCXLICX

    133.5144.30129.4114.50

    124.0144.30129.4114.50

    132.5144.30129.4114.50

    118.0144.30129.4114.50

    127.5144.30129.4114.50

    131.5144.30129.4114.50

    124.0144.30129.4114.50

    137.0144.30129.4114.50

    132.5144.30129.4114.50

    133.0144.30129.4114.50

    126.0144.30129.4114.50

    121.5144.30129.4114.50

    135.5144.30129.4114.50

    136.0144.30129.4114.50

    127.5144.30129.4114.50

    117.5144.30129.4114.50

    126.5144.30129.4114.50

    130.5144.30129.4114.50

    126.5144.30129.4114.50

    133.5144.30129.4114.50

    128.5144.30129.4114.50

    124.0144.30129.4114.50

    143.5144.30129.4114.50

    133.5144.30129.4114.50

    126.5144.30129.4114.50

    135.5144.30129.4114.50

    131.0144.30129.4114.50

    131.5144.30129.4114.50

    128.0144.30129.4114.50

    126.0144.30129.4114.50

    Hoja2

    x

    LSCX

    LCX

    LICX

    Hoja3

  • Grfico2

    1618.3125.60

    2.518.3125.60

    218.3125.60

    8.518.3125.60

    618.3125.60

    318.3125.60

    018.3125.60

    6.518.3125.60

    118.3125.60

    6.518.3125.60

    9.518.3125.60

    9.518.3125.60

    418.3125.60

    818.3125.60

    1.518.3125.60

    Hoja1

    muestrax1x2RLSCXLCXLICXLSCRLCRLICR

    1133.5117.516.0144.30129.4114.5018.315.60

    2124.0126.52.5144.30129.4114.5018.315.60

    3132.5130.52.0144.30129.4114.5018.315.60

    4118.0126.58.5144.30129.4114.5018.315.60

    5127.5133.56.0144.30129.4114.5018.315.60

    6131.5128.53.0144.30129.4114.5018.315.60

    7124.0124.00.0144.30129.4114.5018.315.60

    8137.0143.56.5144.30129.4114.5018.315.60

    9132.5133.51.0144.30129.4114.5018.315.60

    10133.0126.56.5144.30129.4114.5018.315.60

    11126.0135.59.5144.30129.4114.5018.315.60

    12121.5131.09.5144.30129.4114.5018.315.60

    13135.5131.54.0144.30129.4114.5018.315.60

    14136.0128.08.0144.30129.4114.5018.315.60

    15127.5126.01.5144.30129.4114.5018.315.60

    medias129.45.6

    Hoja1

    Hoja2

    xLSCXLCXLICX

    133.5144.30129.4114.50

    124.0144.30129.4114.50

    132.5144.30129.4114.50

    118.0144.30129.4114.50

    127.5144.30129.4114.50

    131.5144.30129.4114.50

    124.0144.30129.4114.50

    137.0144.30129.4114.50

    132.5144.30129.4114.50

    133.0144.30129.4114.50

    126.0144.30129.4114.50

    121.5144.30129.4114.50

    135.5144.30129.4114.50

    136.0144.30129.4114.50

    127.5144.30129.4114.50

    117.5144.30129.4114.50

    126.5144.30129.4114.50

    130.5144.30129.4114.50

    126.5144.30129.4114.50

    133.5144.30129.4114.50

    128.5144.30129.4114.50

    124.0144.30129.4114.50

    143.5144.30129.4114.50

    133.5144.30129.4114.50

    126.5144.30129.4114.50

    135.5144.30129.4114.50

    131.0144.30129.4114.50

    131.5144.30129.4114.50

    128.0144.30129.4114.50

    126.0144.30129.4114.50

    Hoja2

    x

    LSCX

    LCX

    LICX

    Hoja3

  • Grficos de ControlPor variables

  • DefinicionesAtributo:caracterstica cualitativa que est o no estporos en una piezafuncionamiento o no de un transistorburbujas en la pintura de una autoPieza defectuosasi no cumple las prescripciones de calidadtiene al menos un defecto pero puede tener mas

  • Grficos de Control npControlar la porcin de piezas defectuosas que genera el procesoEvitar que este valor aumenteConseguir el Cero Defectop fraccin de piezas defectuosasn tamao de la muestra

  • Grfico pnRecolectar datos 20 a 25 subgrupos con 1 a 5 unidades defectuosascalcular np = pn kLC(SI) = np 3 pn (1-p)Construir el Grfico

  • Hoja1

    Muestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.130

    236.332.1-2.130

    346.332.1-2.130

    426.332.1-2.130

    506.332.1-2.130

    626.332.1-2.130

    756.332.1-2.130

    836.332.1-2.130

    946.332.1-2.130

    1036.332.1-2.130

    1116.332.1-2.130

    1226.332.1-2.130

    1316.332.1-2.130

    1426.332.1-2.130

    1516.332.1-2.130

    1616.332.1-2.130

    1736.332.1-2.130

    1816.332.1-2.130

    1936.332.1-2.130

    2046.332.1-2.130

    2126.332.1-2.130

    2226.332.1-2.130

    2336.332.1-2.130

    2426.332.1-2.130

    2516.332.1-2.130

    2646.332.1-2.130

    2716.332.1-2.130

    2806.332.1-2.130

    2926.332.1-2.130

    3046.332.1-2.130

    3116.332.1-2.130

    3206.332.1-2.130

    3326.332.1-2.130

    3436.332.1-2.130

    3506.332.1-2.130

    3616.332.1-2.130

    3716.332.1-2.130

    3816.332.1-2.130

    3916.332.1-2.130

    4046.332.1-2.130

    4116.332.1-2.130

    4276.332.1-2.130

    4316.332.1-2.130

    4406.332.1-2.130

    4516.332.1-2.130

    4646.332.1-2.130

    4736.332.1-2.130

    4826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.1

    LCS

    Hoja1

    piezas defectuosas

    LSC

    LC

    LIC

    Hoja2

    Muestrapiezas defectuosasLSCLCLICLICMuestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.1302516.332.1-2.130

    236.332.1-2.1302646.332.1-2.130

    346.332.1-2.1302716.332.1-2.130

    426.332.1-2.1302806.332.1-2.130

    506.332.1-2.1302926.332.1-2.130

    626.332.1-2.1303046.332.1-2.130

    756.332.1-2.1303116.332.1-2.130

    836.332.1-2.1303206.332.1-2.130

    946.332.1-2.1303326.332.1-2.130

    1036.332.1-2.1303436.332.1-2.130

    1116.332.1-2.1303506.332.1-2.130

    1226.332.1-2.1303616.332.1-2.130

    1316.332.1-2.1303716.332.1-2.130

    1426.332.1-2.1303816.332.1-2.130

    1516.332.1-2.1303916.332.1-2.130

    1616.332.1-2.1304046.332.1-2.130

    1736.332.1-2.1304116.332.1-2.130

    1816.332.1-2.1304276.332.1-2.130

    1936.332.1-2.1304316.332.1-2.130

    2046.332.1-2.1304406.332.1-2.130

    2126.332.1-2.1304516.332.1-2.130

    2226.332.1-2.1304646.332.1-2.130

    2336.332.1-2.1304736.332.1-2.130

    2426.332.1-2.1304826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.2916666667

    Hoja3

  • Fuera de control

    Grfico1

    16.33175495512.10

    36.33175495512.10

    46.33175495512.10

    26.33175495512.10

    06.33175495512.10

    26.33175495512.10

    56.33175495512.10

    36.33175495512.10

    46.33175495512.10

    36.33175495512.10

    16.33175495512.10

    26.33175495512.10

    16.33175495512.10

    26.33175495512.10

    16.33175495512.10

    16.33175495512.10

    36.33175495512.10

    16.33175495512.10

    36.33175495512.10

    46.33175495512.10

    26.33175495512.10

    26.33175495512.10

    36.33175495512.10

    26.33175495512.10

    16.33175495512.10

    46.33175495512.10

    16.33175495512.10

    06.33175495512.10

    26.33175495512.10

    46.33175495512.10

    16.33175495512.10

    06.33175495512.10

    26.33175495512.10

    36.33175495512.10

    06.33175495512.10

    16.33175495512.10

    16.33175495512.10

    16.33175495512.10

    16.33175495512.10

    46.33175495512.10

    16.33175495512.10

    76.33175495512.10

    16.33175495512.10

    06.33175495512.10

    16.33175495512.10

    46.33175495512.10

    36.33175495512.10

    26.33175495512.10

    26.33175495512.10

    36.33175495512.10

    piezas defectuosas

    LSC

    LC

    LIC

    Hoja1

    Muestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.130

    236.332.1-2.130

    346.332.1-2.130

    426.332.1-2.130

    506.332.1-2.130

    626.332.1-2.130

    756.332.1-2.130

    836.332.1-2.130

    946.332.1-2.130

    1036.332.1-2.130

    1116.332.1-2.130

    1226.332.1-2.130

    1316.332.1-2.130

    1426.332.1-2.130

    1516.332.1-2.130

    1616.332.1-2.130

    1736.332.1-2.130

    1816.332.1-2.130

    1936.332.1-2.130

    2046.332.1-2.130

    2126.332.1-2.130

    2226.332.1-2.130

    2336.332.1-2.130

    2426.332.1-2.130

    2516.332.1-2.130

    2646.332.1-2.130

    2716.332.1-2.130

    2806.332.1-2.130

    2926.332.1-2.130

    3046.332.1-2.130

    3116.332.1-2.130

    3206.332.1-2.130

    3326.332.1-2.130

    3436.332.1-2.130

    3506.332.1-2.130

    3616.332.1-2.130

    3716.332.1-2.130

    3816.332.1-2.130

    3916.332.1-2.130

    4046.332.1-2.130

    4116.332.1-2.130

    4276.332.1-2.130

    4316.332.1-2.130

    4406.332.1-2.130

    4516.332.1-2.130

    4646.332.1-2.130

    4736.332.1-2.130

    4826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.1

    LCS

    Hoja1

    piezas defectuosas

    LSC

    LC

    LIC

    Hoja2

    Muestrapiezas defectuosasLSCLCLICLICMuestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.1302516.332.1-2.130

    236.332.1-2.1302646.332.1-2.130

    346.332.1-2.1302716.332.1-2.130

    426.332.1-2.1302806.332.1-2.130

    506.332.1-2.1302926.332.1-2.130

    626.332.1-2.1303046.332.1-2.130

    756.332.1-2.1303116.332.1-2.130

    836.332.1-2.1303206.332.1-2.130

    946.332.1-2.1303326.332.1-2.130

    1036.332.1-2.1303436.332.1-2.130

    1116.332.1-2.1303506.332.1-2.130

    1226.332.1-2.1303616.332.1-2.130

    1316.332.1-2.1303716.332.1-2.130

    1426.332.1-2.1303816.332.1-2.130

    1516.332.1-2.1303916.332.1-2.130

    1616.332.1-2.1304046.332.1-2.130

    1736.332.1-2.1304116.332.1-2.130

    1816.332.1-2.1304276.332.1-2.130

    1936.332.1-2.1304316.332.1-2.130

    2046.332.1-2.1304406.332.1-2.130

    2126.332.1-2.1304516.332.1-2.130

    2226.332.1-2.1304646.332.1-2.130

    2336.332.1-2.1304736.332.1-2.130

    2426.332.1-2.1304826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.2916666667

    Hoja3

  • Grfico2

    16.132423390320

    36.331754955120

    46.331754955120

    26.331754955120

    06.331754955120

    26.331754955120

    56.331754955120

    36.331754955120

    46.331754955120

    36.331754955120

    16.331754955120

    26.331754955120

    16.331754955120

    26.331754955120

    16.331754955120

    16.331754955120

    36.331754955120

    16.331754955120

    36.331754955120

    46.331754955120

    26.331754955120

    26.331754955120

    36.331754955120

    26.331754955120

    16.331754955120

    46.331754955120

    16.331754955120

    06.331754955120

    26.331754955120

    46.331754955120

    16.331754955120

    06.331754955120

    26.331754955120

    36.331754955120

    06.331754955120

    16.331754955120

    16.331754955120

    16.331754955120

    16.331754955120

    46.331754955120

    16.331754955120

    16.331754955120

    06.331754955120

    16.331754955120

    46.331754955120

    36.331754955120

    26.331754955120

    26.331754955120

    36.331754955120

    piezas defectuosas

    LSC

    LC

    LIC

    Hoja1

    Muestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.130

    236.332.1-2.130

    346.332.1-2.130

    426.332.1-2.130

    506.332.1-2.130

    626.332.1-2.130

    756.332.1-2.130

    836.332.1-2.130

    946.332.1-2.130

    1036.332.1-2.130

    1116.332.1-2.130

    1226.332.1-2.130

    1316.332.1-2.130

    1426.332.1-2.130

    1516.332.1-2.130

    1616.332.1-2.130

    1736.332.1-2.130

    1816.332.1-2.130

    1936.332.1-2.130

    2046.332.1-2.130

    2126.332.1-2.130

    2226.332.1-2.130

    2336.332.1-2.130

    2426.332.1-2.130

    2516.332.1-2.130

    2646.332.1-2.130

    2716.332.1-2.130

    2806.332.1-2.130

    2926.332.1-2.130

    3046.332.1-2.130

    3116.332.1-2.130

    3206.332.1-2.130

    3326.332.1-2.130

    3436.332.1-2.130

    3506.332.1-2.130

    3616.332.1-2.130

    3716.332.1-2.130

    3816.332.1-2.130

    3916.332.1-2.130

    4046.332.1-2.130

    4116.332.1-2.130

    4276.332.1-2.130

    4316.332.1-2.130

    4406.332.1-2.130

    4516.332.1-2.130

    4646.332.1-2.130

    4736.332.1-2.130

    4826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.1

    LCS

    Hoja1

    piezas defectuosas

    LSC

    LC

    LIC

    Hoja2

    Muestrapiezas defectuosasLSCLCLICLICMuestrapiezas defectuosasLSCLCLICLIC

    116.332.1-2.1302516.332.1-2.130

    236.332.1-2.1302646.332.1-2.130

    346.332.1-2.1302716.332.1-2.130

    426.332.1-2.1302806.332.1-2.130

    506.332.1-2.1302926.332.1-2.130

    626.332.1-2.1303046.332.1-2.130

    756.332.1-2.1303116.332.1-2.130

    836.332.1-2.1303206.332.1-2.130

    946.332.1-2.1303326.332.1-2.130

    1036.332.1-2.1303436.332.1-2.130

    1116.332.1-2.1303506.332.1-2.130

    1226.332.1-2.1303616.332.1-2.130

    1316.332.1-2.1303716.332.1-2.130

    1426.332.1-2.1303816.332.1-2.130

    1516.332.1-2.1303916.332.1-2.130

    1616.332.1-2.1304046.332.1-2.130

    1736.332.1-2.1304116.332.1-2.130

    1816.332.1-2.1304276.332.1-2.130

    1936.332.1-2.1304316.332.1-2.130

    2046.332.1-2.1304406.332.1-2.130

    2126.332.1-2.1304516.332.1-2.130

    2226.332.1-2.1304646.332.1-2.130

    2336.332.1-2.1304736.332.1-2.130

    2426.332.1-2.1304826.332.1-2.130

    4926.332.1-2.130

    5036.332.1-2.130

    media2.2916666667

    Hoja3

    Muestrapiezas defectuosasLSCLCLICLIC

    116.132-2.130

    236.332-2.130

    346.332-2.130

    426.332-2.130

    506.332-2.130

    626.332-2.130

    756.332-2.130

    836.332-2.130

    946.332-2.130

    1036.332-2.130

    1116.332-2.130

    1226.332-2.130

    1316.332-2.130

    1426.332-2.130

    1516.332-2.130

    1616.332-2.130

    1736.332-2.130

    1816.332-2.130

    1936.332-2.130

    2046.332-2.130

    2126.332-2.130

    2226.332-2.130

    2336.332-2.130

    2426.332-2.130

    2516.332-2.130

    2646.332-2.130

    2716.332-2.130

    2806.332-2.130

    2926.332-2.130

    3046.332-2.130

    3116.332-2.130

    3206.332-2.130

    3326.332-2.130

    3436.332-2.130

    3506.332-2.130

    3616.332-2.130

    3716.332-2.130

    3816.332-2.130

    3916.332-2.130

    4046.332-2.130

    4116.332-2.130

    4316.332-2.130

    4406.332-2.130

    4516.332-2.130

    4646.332-2.130

    4736.332-2.130

    4826.332-2.130

    4926.332-2.130

    5036.332-2.130

    media2.0

    Hoja3

    piezas defectuosas

    LSC

    LC

    LIC

  • Grficos de control pLa fraccin no conforme p es la que surge de un nmero de productos en el subgrupoPuede describir una o mas caractersticas de calidadEs el no cumplimiento de algn requisitoson como los np pero con n variable

  • ParmetrosFraccin defectuosa pi = xi (piezas defectuosas) ni ( en la muestra)Tamao medio de muestra n = ni mLCC = p = xi niL(SI)C = p pqq = 1 - p n

  • Hoja1

    nxpLS^CLC=^pLICLICLCS

    13810.0260.1580.052-0.05400.160

    23930.0770.1580.052-0.05400.159

    34040.1000.1580.052-0.05400.157

    43920.0510.1580.052-0.05400.159

    54000.0000.1580.052-0.05400.157

    63920.0510.1580.052-0.05400.159

    74250.1190.1580.052-0.05400.155

    84030.0750.1580.052-0.05400.157

    94140.0980.1580.052-0.05400.156

    104230.0710.1580.052-0.05400.155

    114010.0250.1580.052-0.05400.157

    124020.0500.1580.052-0.05400.157

    134110.0240.1580.052-0.05400.156

    144220.0480.1580.052-0.05400.155

    154110.0240.1580.052-0.05400.156

    163810.0260.1580.052-0.05400.160

    173730.0810.1580.052-0.05400.162

    183710.0270.1580.052-0.05400.162

    193930.0770.1580.052-0.05400.159

    204040.1000.1580.052-0.05400.157

    214020.0500.1580.052-0.05400.157

    224020.0500.1580.052-0.05400.157

    234130.0730.1580.052-0.05400.156

    244220.0480.1580.052-0.05400.155

    254310.0230.1580.052-0.05400.154

    264040.1000.1580.052-0.05400.157

    273810.0260.1580.052-0.05400.160

    284000.0000.1580.052-0.05400.157

    293920.0510.1580.052-0.05400.159

    303740.1080.1580.052-0.05400.162

    313710.0270.1580.052-0.05400.162

    324000.0000.1580.052-0.05400.157

    334320.0470.1580.052-0.05400.154

    344330.0700.1580.052-0.05400.154

    354200.0000.1580.052-0.05400.155

    364010.0250.1580.052-0.05400.157

    374210.0240.1580.052-0.05400.155

    384010.0250.1580.052-0.05400.157

    393910.0260.1580.052-0.05400.159

    404040.1000.1580.052-0.05400.157

    414110.0240.1580.052-0.05400.156

    424200.0000.1580.052-0.05400.155

    434010.0250.1580.052-0.05400.157

    444070.1750.1580.052-0.05400.157

    453710.0270.1580.052-0.05400.162

    464040.1000.1580.052-0.05400.157

    474030.0750.1580.052-0.05400.157

    484020.0500.1580.052-0.05400.157

    494120.0490.1580.052-0.05400.156

    504230.0710.1580.052-0.05400.155

    40.08media0.052

    Hoja1

    p

    LS^C

    LC=^p

    LIC

    Hoja2

    p

    LC=^p

    LIC

    LCS

    Hoja3

    nxpLS^CLC=^pLICLICLCSnxpLS^CLC=^pLICLICLCS

    13810.0260.1580.052-0.05400.160264040.1000.1580.052-0.05400.157

    23930.0770.1580.052-0.05400.159273810.0260.1580.052-0.05400.160

    34040.1000.1580.052-0.05400.157284000.0000.1580.052-0.05400.157

    43920.0510.1580.052-0.05400.159293920.0510.1580.052-0.05400.159

    54000.0000.1580.052-0.05400.157303740.1080.1580.052-0.05400.162

    63920.0510.1580.052-0.05400.159313710.0270.1580.052-0.05400.162

    74250.1190.1580.052-0.05400.155324000.0000.1580.052-0.05400.157

    84030.0750.1580.052-0.05400.157334320.0470.1580.052-0.05400.154

    94140.0980.1580.052-0.05400.156344330.0700.1580.052-0.05400.154

    104230.0710.1580.052-0.05400.155354200.0000.1580.052-0.05400.155

    114010.0250.1580.052-0.05400.157364010.0250.1580.052-0.05400.157

    124020.0500.1580.052-0.05400.157374210.0240.1580.052-0.05400.155

    134110.0240.1580.052-0.05400.156384010.0250.1580.052-0.05400.157

    144220.0480.1580.052-0.05400.155393910.0260.1580.052-0.05400.159

    154110.0240.1580.052-0.05400.156404040.1000.1580.052-0.05400.157

    163810.0260.1580.052-0.05400.160414110.0240.1580.052-0.05400.156

    173730.0810.1580.052-0.05400.162424200.0000.1580.052-0.05400.155

    183710.0270.1580.052-0.05400.162434010.0250.1580.052-0.05400.157

    193930.0770.1580.052-0.05400.159444070.1750.1580.052-0.05400.157

    204040.1000.1580.052-0.05400.157453710.0270.1580.052-0.05400.162

    214020.0500.1580.052-0.05400.157464040.1000.1580.052-0.05400.157

    224020.0500.1580.052-0.05400.157474030.0750.1580.052-0.05400.157

    234130.0730.1580.052-0.05400.156484020.0500.1580.052-0.05400.157

    244220.0480.1580.052-0.05400.155494120.0490.1580.052-0.05400.156

    254310.0230.1580.052-0.05400.154504230.0710.1580.052-0.05400.155

    40.04media0.056

  • Fuera de control

    Grfico1

    0.02631578950.15759310670.05241442330

    0.07692307690.15759310670.05241442330

    0.10.15759310670.05241442330

    0.05128205130.15759310670.05241442330

    00.15759310670.05241442330

    0.05128205130.15759310670.05241442330

    0.1190476190.15759310670.05241442330

    0.0750.15759310670.05241442330

    0.09756097560.15759310670.05241442330

    0.07142857140.15759310670.05241442330

    0.0250.15759310670.05241442330

    0.050.15759310670.05241442330

    0.02439024390.15759310670.05241442330

    0.04761904760.15759310670.05241442330

    0.02439024390.15759310670.05241442330

    0.02631578950.15759310670.05241442330

    0.08108108110.15759310670.05241442330

    0.0270270270.15759310670.05241442330

    0.07692307690.15759310670.05241442330

    0.10.15759310670.05241442330

    0.050.15759310670.05241442330

    0.050.15759310670.05241442330

    0.07317073170.15759310670.05241442330

    0.04761904760.15759310670.05241442330

    0.0232558140.15759310670.05241442330

    0.10.15759310670.05241442330

    0.02631578950.15759310670.05241442330

    00.15759310670.05241442330

    0.05128205130.15759310670.05241442330

    0.10810810810.15759310670.05241442330

    0.0270270270.15759310670.05241442330

    00.15759310670.05241442330

    0.04651162790.15759310670.05241442330

    0.06976744190.15759310670.05241442330

    00.15759310670.05241442330

    0.0250.15759310670.05241442330

    0.02380952380.15759310670.05241442330

    0.0250.15759310670.05241442330

    0.02564102560.15759310670.05241442330

    0.10.15759310670.05241442330

    0.02439024390.15759310670.05241442330

    00.15759310670.05241442330

    0.0250.15759310670.05241442330

    0.1750.15759310670.05241442330

    0.0270270270.15759310670.05241442330

    0.10.15759310670.05241442330

    0.0750.15759310670.05241442330

    0.050.15759310670.05241442330

    0.04878048780.15759310670.05241442330

    0.07142857140.15759310670.05241442330

    p

    LS^C

    LC=^p

    LIC

    Hoja1

    nxpLS^CLC=^pLICLICLCS

    13810.0260.1580.052-0.05400.160

    23930.0770.1580.052-0.05400.159

    34040.1000.1580.052-0.05400.157

    43920.0510.1580.052-0.05400.159

    54000.0000.1580.052-0.05400.157

    63920.0510.1580.052-0.05400.159

    74250.1190.1580.052-0.05400.155

    84030.0750.1580.052-0.05400.157

    94140.0980.1580.052-0.05400.156

    104230.0710.1580.052-0.05400.155

    114010.0250.1580.052-0.05400.157

    124020.0500.1580.052-0.05400.157

    134110.0240.1580.052-0.05400.156

    144220.0480.1580.052-0.05400.155

    154110.0240.1580.052-0.05400.156

    163810.0260.1580.052-0.05400.160

    173730.0810.1580.052-0.05400.162

    183710.0270.1580.052-0.05400.162

    193930.0770.1580.052-0.05400.159

    204040.1000.1580.052-0.05400.157

    214020.0500.1580.052-0.05400.157

    224020.0500.1580.052-0.05400.157

    234130.0730.1580.052-0.05400.156

    244220.0480.1580.052-0.05400.155

    254310.0230.1580.052-0.05400.154

    264040.1000.1580.052-0.05400.157

    273810.0260.1580.052-0.05400.160

    284000.0000.1580.052-0.05400.157

    293920.0510.1580.052-0.05400.159

    303740.1080.1580.052-0.05400.162

    313710.0270.1580.052-0.05400.162

    324000.0000.1580.052-0.05400.157

    334320.0470.1580.052-0.05400.154

    344330.0700.1580.052-0.05400.154

    354200.0000.1580.052-0.05400.155

    364010.0250.1580.052-0.05400.157

    374210.0240.1580.052-0.05400.155

    384010.0250.1580.052-0.05400.157

    393910.0260.1580.052-0.05400.159

    404040.1000.1580.052-0.05400.157

    414110.0240.1580.052-0.05400.156

    424200.0000.1580.052-0.05400.155

    434010.0250.1580.052-0.05400.157

    444070.1750.1580.052-0.05400.157

    453710.0270.1580.052-0.05400.162

    464040.1000.1580.052-0.05400.157

    474030.0750.1580.052-0.05400.157

    484020.0500.1580.052-0.05400.157

    494120.0490.1580.052-0.05400.156

    504230.0710.1580.052-0.05400.155

    40.08media0.052

    Hoja1

    p

    LS^C

    LC=^p

    LIC

    Hoja2

    p

    LC=^p

    LIC

    LCS

    Hoja3

    nxpLS^CLC=^pLICLICLCSnxpLS^CLC=^pLICLICLCS

    13810.0260.1580.052-0.05400.160264040.1000.1580.052-0.05400.157

    23930.0770.1580.052-0.05400.159273810.0260.1580.052-0.05400.160

    34040.1000.1580.052-0.05400.157284000.0000.1580.052-0.05400.157

    43920.0510.1580.052-0.05400.159293920.0510.1580.052-0.05400.159

    54000.0000.1580.052-0.05400.157303740.1080.1580.052-0.05400.162

    63920.0510.1580.052-0.05400.159313710.0270.1580.052-0.05400.162

    74250.1190.1580.052-0.05400.155324000.0000.1580.052-0.05400.157

    84030.0750.1580.052-0.05400.157334320.0470.1580.052-0.05400.154

    94140.0980.1580.052-0.05400.156344330.0700.1580.052-0.05400.154

    104230.0710.1580.052-0.05400.155354200.0000.1580.052-0.05400.155

    114010.0250.1580.052-0.05400.157364010.0250.1580.052-0.05400.157

    124020.0500.1580.052-0.05400.157374210.0240.1580.052-0.05400.155

    134110.0240.1580.052-0.05400.156384010.0250.1580.052-0.05400.157

    144220.0480.1580.052-0.05400.155393910.0260.1580.052-0.05400.159

    154110.0240.1580.052-0.05400.156404040.1000.1580.052-0.05400.157

    163810.0260.1580.052-0.05400.160414110.0240.1580.052-0.05400.156

    173730.0810.1580.052-0.05400.162424200.0000.1580.052-0.05400.155

    183710.0270.1580.052-0.05400.162434010.0250.1580.052-0.05400.157

    193930.0770.1580.052-0.05400.159444070.1750.1580.052-0.05400.157

    204040.1000.1580.052-0.05400.157453710.0270.1580.052-0.05400.162

    214020.0500.1580.052-0.05400.157464040.1000.1580.052-0.05400.157

    224020.0500.1580.052-0.05400.157474030.0750.1580.052-0.05400.157

    234130.0730.1580.052-0.05400.156484020.0500.1580.052-0.05400.157

    244220.0480.1580.052-0.05400.155494120.0490.1580.052-0.05400.156

    254310.0230.1580.052-0.05400.154504230.0710.1580.052-0.05400.155

    40.04media0.056

  • Grfico2

    0.02631578950.052414423300.1600526188

    0.07692307690.052414423300.158658333

    0.10.052414423300.1573166653

    0.05128205130.052414423300.158658333

    00.052414423300.1573166653

    0.05128205130.052414423300.158658333

    0.1190476190.052414423300.1547785414

    0.0750.052414423300.1573166653

    0.09756097560.052414423300.1560243874

    0.07142857140.052414423300.1547785414

    0.0250.052414423300.1573166653

    0.050.052414423300.1573166653

    0.02439024390.052414423300.1560243874

    0.04761904760.052414423300.1547785414

    0.02439024390.052414423300.1560243874

    0.02631578950.052414423300.1600526188

    0.08108108110.052414423300.1615030544

    0.0270270270.052414423300.1615030544

    0.07692307690.052414423300.158658333

    0.10.052414423300.1573166653

    0.050.052414423300.1573166653

    0.050.052414423300.1573166653

    0.07317073170.052414423300.1560243874

    0.04761904760.052414423300.1547785414

    0.0232558140.052414423300.1535764118

    0.10.052414423300.1573166653

    0.02631578950.052414423300.1600526188

    00.052414423300.1573166653

    0.05128205130.052414423300.158658333

    0.10810810810.052414423300.1615030544

    0.0270270270.052414423300.1615030544

    00.052414423300.1573166653

    0.04651162790.052414423300.1535764118

    0.06976744190.052414423300.1535764118

    00.052414423300.1547785414

    0.0250.052414423300.1573166653

    0.02380952380.052414423300.1547785414

    0.0250.052414423300.1573166653

    0.02564102560.052414423300.158658333

    0.10.052414423300.1573166653

    0.02439024390.052414423300.1560243874

    00.052414423300.1547785414

    0.0250.052414423300.1573166653

    0.1750.052414423300.1573166653

    0.0270270270.052414423300.1615030544

    0.10.052414423300.1573166653

    0.0750.052414423300.1573166653

    0.050.052414423300.1573166653

    0.04878048780.052414423300.1560243874

    0.07142857140.052414423300.1547785414

    p

    LC=^p

    LIC

    LCS

    Hoja1

    nxpLS^CLC=^pLICLICLCS

    13810.0260.1580.052-0.05400.160

    23930.0770.1580.052-0.05400.159

    34040.1000.1580.052-0.05400.157

    43920.0510.1580.052-0.05400.159

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    p

    LS^C

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    LIC

    Hoja2

    p

    LC=^p

    LIC

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