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Cálculo de las desviaciones estándar                  1              2        3              4        5       6           ...
Límites de control para la media aritmética                          Límites de control para la desviación estándar       ...
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Ejercicio 10 (30x11)

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Transcript of "Ejercicio 10 (30x11)"

  1. 1. X1 X2 X3 X4Gráficos de X5 X6 X7 X8 X9 X10 X11 ∑ control Varianza S Xm SmEjercicio 10 30x11 19.567
  2. 2. Cálculo de las desviaciones estándar 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 X1 0.79 57.07 79.86 17.79 7.00 0.40 21.58 3.54 10.47 0.89 3.17 0.58 52.36 1.17 29.46 0.13 40.96 1.64 0.24 8.57 6.67 0.86 57.76 13.36 3.64 6.76 2.89 18.96 0.68 3.05 X2 21.08 0.06 17.95 2.50 8.73 15.49 5.04 205.01 39.23 2.74 0.34 0.02 0.40 0.61 9.16 5.94 1.69 103.67 8.46 47.99 43.32 6.90 0.16 6.48 1.19 0.04 77.44 18.02 9.44 40.38 X3 0.50 1.57 118.02 12.83 30.75 3.01 7.54 15.07 1.60 4.18 0.27 4.56 55.71 6.85 60.42 22.69 12.96 4.07 1.93 38.10 25.82 6.11 14.44 69.65 1.67 8.41 72.25 40.26 1.76 0.42 X4 0.37 1.55 0.54 9.11 7.05 0.11 20.74 0.34 1.29 11.93 2.20 27.42 14.16 54.49 1.38 61.41 5.29 36.22 15.28 0.33 1.48 2.33 0.81 23.57 30.35 9.61 57.76 8.10 4.11 0.13de X5 21.08 33.01 120.20 1.40 42.96 1.07 3.08 28.96 45.38 0.02 4.33 7.09 1.79 45.99 47.23 26.66 15.21 37.43 14.37 2.65 39.92 24.73 12.96 19.84 4.45 36.00 6.25 3.82 2.80 8.68 X6 1.42 2.42 4.68 1.64 17.26 6.57 0.13 116.25 10.47 1.31 0.15 30.95 0.06 112.75 2.80 1.86 37.21 1.64 12.31 6.62 2.30 5.63 9.00 109.11 44.77 1.96 4.41 0.71 0.05 6.02 X7 7.89 0.43 3.11 90.60 3.05 2.68 14.86 31.56 29.85 3.78 16.96 0.00 14.16 0.08 0.76 0.07 1.00 0.17 0.48 0.18 25.18 0.39 6.25 19.84 8.36 6.25 16.81 3.05 0.02 11.19 X8 1.71 8.10 2.68 14.30 3.41 3.11 10.53 0.67 52.36 11.93 0.01 30.65 104.78 13.09 3.14 2.68 14.44 28.96 24.10 15.78 2.95 11.07 4.41 4.22 3.58 23.04 0.16 45.62 0.18 0.20 X9 11.50 6.48 5.46 4.07 3.41 0.40 3.08 6.16 34.38 74.74 5.21 3.37 0.32 14.58 29.46 55.30 0.00 0.10 0.65 20.50 2.50 1.27 19.36 3.44 2.28 2.25 12.96 4.22 0.05 28.57 X10 10.95 1.81 5.94 45.99 1.31 10.65 25.55 10.36 14.93 24.55 4.33 0.13 36.77 33.43 69.34 17.34 38.44 2.30 14.37 29.95 11.68 6.90 6.25 14.10 0.83 29.16 11.56 0.91 1.06 1.81 X11 34.92 8.73 29.55 0.34 2.39 5.59 19.76 1.04 1.29 1.83 35.02 29.85 3.75 2.01 4.30 10.65 0.04 2.95 34.70 5.42 11.44 8.84 1.44 14.03 3.64 10.24 7.29 0.00 2.17 44.28 ∑ 112.21 121.23 387.99 200.58 127.31 49.11 131.89 418.96 241.27 137.93 72.00 134.65 284.27 285.06 257.44 204.73 167.24 219.18 126.91 176.08 173.28 75.04 132.84 297.63 104.75 133.72 269.78 143.69 22.32 144.73 Varianza 10.20 11.02 35.27 18.23 11.57 4.46 11.99 38.09 21.93 12.54 6.55 12.24 25.84 25.91 23.40 18.61 15.20 19.93 11.54 16.01 15.75 6.82 12.08 27.06 9.52 12.16 24.53 13.06 2.03 13.16 S 3.19 3.32 5.94 4.27 3.40 2.11 3.46 6.17 4.68 3.54 2.56 3.50 5.08 5.09 4.84 4.31 3.90 4.46 3.40 4.00 3.97 2.61 3.48 5.20 3.09 3.49 4.95 3.61 1.42 3.63 Xm 20.96 Sm 3.89 2.641 Cálculo de los límites de control 0.88010 Media 20.96 1 3.606 S Media 3.89 1 20.96 30 1.202 3.89 30 LCL UCL LCL UCL 17.163 1 24.561 1 1.249 1 6.531 1 17.163 30 24.561 30 1.249 30 6.531 30 18.365 1 23.359 1 2.129 1 5.650 1 18.365 30 23.359 30 2.129 30 5.650 30 19.567 1 22.157 1 3.009 1 4.770 1 19.567 30 22.157 30 3.009 30 4.770 30
  3. 3. Límites de control para la media aritmética Límites de control para la desviación estándar LCL = 17.16 CL = 20.96 UCL = 24.56 LCL = 1.248 CL = 3.889 UCL = 6.53 25 24 2. cinco puntos disminuyendoGráfico de medias 23 (tendencia) 22 21 20 19 18 17 7Gráfico Desv. Estándar 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 X1 20.1 29.5 11.8 26.6 19.4 22.0 16.5 21.9 24.5 19.3 23.1 24.0 12.6 19.5 15.9 19.9 13.7 20.8 21.8 23.2 24.1 17.8 15.3 25.7 20.7 22.9 23.4 24.7 21.4 21.7 X2 16.4 21.7 16.5 20.8 25.0 25.3 18.9 5.7 15.0 21.9 21.9 23.1 19.2 19.8 18.3 17.1 21.4 29.7 25.2 27.2 28.1 16.1 23.3 19.5 17.7 20.5 12.9 16.1 25.3 13.6 X3 21.7 23.2 31.6 18.8 16.5 23.1 18.4 23.9 20.0 18.2 20.8 21.1 27.3 23.2 29.1 24.3 16.5 17.5 20.9 14.1 26.6 21.2 19.1 13.7 17.5 23.2 30.2 14.0 20.9 20.6 X4 21.6 20.7 20.0 25.4 24.7 21.7 25.7 20.6 22.4 23.7 22.8 18.0 23.6 13.2 22.5 11.7 17.8 13.5 26.2 19.7 20.3 17.2 22.0 26.9 24.3 17.2 14.1 17.5 20.2 19.6 X5 16.4 16.2 31.7 21.2 28.6 22.4 22.9 25.4 28.0 20.1 23.4 25.9 18.5 13.8 28.2 24.7 16.2 13.4 18.5 21.9 15.2 23.7 26.5 26.5 20.9 14.3 19.2 22.3 23.9 22.9 X6 19.8 23.5 22.9 21.1 26.2 18.8 21.5 30.8 24.5 19.1 21.7 28.8 19.6 31.2 23.0 20.9 26.2 20.8 25.8 17.7 20.0 21.1 25.9 11.6 12.1 18.9 23.8 19.5 22.0 17.5 X7 23.8 22.6 22.5 31.9 20.3 23.0 25.0 14.4 15.8 18.3 17.2 23.3 23.6 20.3 22.2 19.8 19.1 19.1 21.6 20.7 16.5 18.1 25.4 26.5 15.9 22.8 25.8 18.6 22.1 23.3 X8 22.3 19.1 19.1 18.6 20.2 19.6 17.9 19.2 28.5 23.7 21.2 17.7 9.6 24.2 23.1 17.9 23.9 24.9 27.2 16.3 19.8 15.4 25.0 24.1 16.9 15.5 21.3 27.1 21.8 20.4 X9 17.6 19.4 18.4 24.4 20.2 22.0 22.9 22.5 15.4 11.6 23.6 21.4 20.4 24.4 15.9 12.1 20.1 19.2 23.1 24.8 23.1 17.6 27.3 23.9 20.3 18.8 25.3 22.4 22.0 25.3X10 24.3 20.6 18.3 15.6 20.9 18.1 26.2 16.8 17.4 25.2 23.4 23.6 25.9 14.8 13.0 23.7 26.3 18.0 18.5 14.8 18.1 16.1 20.4 25.8 19.7 25.7 18.3 21.3 21.2 21.3X11 26.9 24.9 15.3 21.8 20.5 19.0 16.7 19.0 22.4 21.6 15.4 28.7 17.9 22.0 23.4 22.8 19.9 17.8 16.4 22.6 24.9 21.7 21.7 18.3 20.7 23.5 24.4 20.3 23.7 13.3 ∑ 230.9 241.4 228.1 246.2 242.5 235.0 232.6 220.2 233.9 222.7 234.5 255.6 218.2 226.4 234.6 214.9 221.1 214.7 245.2 223.0 236.7 206.0 251.9 242.5 206.7 223.3 238.7 223.8 244.5 219.5 X 21.0 21.9 20.7 22.4 22.0 21.4 21.1 20.0 21.3 20.2 21.3 23.2 19.8 20.6 21.3 19.5 20.1 19.5 22.3 20.3 21.5 18.7 22.9 22.0 18.8 20.3 21.7 20.3 22.2 20.0 S 3.194 3.320 5.939 4.270 3.402 2.113 3.463 6.171 4.683 3.541 2.558 3.499 5.084 5.091 4.838 4.314 3.899 4.464 3.397 4.001 3.969 2.612 3.475 5.202 3.086 3.487 4.952 3.614 1.425 3.627

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