GESTION DE CALIDAD 1. Elaborar le Gráfico de Control X – R con la siguiente recolección de datos: SUBGRUPO X1 1 2 3 4
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GESTION DE CALIDAD 1. Elaborar le Gráfico de Control X – R con la siguiente recolección de datos:
SUBGRUPO X1 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
X2 47 19 19 29 28 40 15 35 27 23 28 31 22 37 25 7 38 35 31 12 52 20 29 28 42
X3 32 37 11 29 12 35 30 44 37 45 44 25 37 32 40 31 0 12 20 27 42 31 47 27 34
A2 D3 D4
X4 44 31 16 42 45 11 12 32 26 26 40 24 19 12 24 23 41 29 35 38 52 15 41 22 15
X5 35 25 11 59 36 38 33 11 20 37 31 32 47 38 50 18 40 48 24 40 24 3 32 32 29
ΣX 20 34 44 38 25 33 26 38 35 32 18 22 14 30 19 32 37 20 47 31 25 28 22 54 21
178 146 101 197 146 157 116 160 145 163 161 134 139 149 158 111 156 144 157 148 195 97 171 163 141
0.577 0 2.115
2. Elaborar le Gráfico de Control X – R con la siguiente recolección de datos:
SUBGRUPO X1 1
X2 14
X3 12.6
X4 13.2
X5 13.1
MEDIA 12.1
13
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
13.2 13.5 13.7 14.4 13.9 13.3 13 13.9 13.4 13.2 13.4 14 13.3 13.6 13.6 13.9 14.2 13.2 13.1 13.3 14.6 13.9 13.9 13.3
13.3 12.8 12 12.4 12.4 12.4 13 12.1 13.3 12.3 13.6 13.2 12.8 12.6 12.5 13.1 12.7 12.8 12.9 12.8 13.7 13 12.4 12.7
12.7 13 12.5 12.2 13.3 12.6 13.1 12.7 12 12.6 13 12.4 13 12.4 13.3 13.5 12.9 12.8 13.5 13 13.4 13 12.7 12.6
13.4 12.8 12.4 12.4 13.1 12.9 12.2 13.4 13 13.1 12.4 13 13 12.5 13.5 12.6 12.9 12.3 12.3 12.3 12.2 13.2 12.4 12.8
12.1 12.4 12.4 12.5 13.2 12.8 13.3 13 13.1 12.7 13.5 13 13.1 12.2 12.8 12.8 12.5 12.6 12.8 12.2 12.5 12.6 12.8 12.7
12.94 12.9 12.6 12.78 13.18 12.8 12.92 13.02 12.96 12.78 13.18 13.12 13.04 12.66 13.14 13.18 13.04 12.74 12.92 12.72 13.28 13.14 12.84 12.82 12.948
3,- A partir de los siguientes datos para un Gráfico np:
SUBGRUPO TAMAÑO NÚMERO Nº DEL DE UNIDADES GRUPO DEFECTUOSAS 1 500 14 2 500 12 3 500 7 4 500 15 5 500 13 6 500 5 7 500 12 8 500 11 9 500 14 10 500 15 11 500 9 12 500 6 13 500 10
FRACCION PROMEDIO DE DEFECTOS 7000 3000 1166.66667 1875 1300 416.666667 857.142857 687.5 777.777778 750 409.090909 250 384.615385
Column B 9000 8000 7000 6000 5000 4000 3000 2000 1000 0
1 2 3 4 5 6 7 8
4000 3000 2000
14 15 16 17 18 19 20 1 22 23 24 25
500 500 500 500 500 500 500 500 500 500 500 500
13 8 12 7 11 6 13 15 10 12 14 5
1000
464.285714 266.666667 375 205.882353 305.555556 157.894737 325 7500 227.272727 260.869565 291.666667 100
0
1 2 3 4 5 6 7 8
4,- APARTIS DE LOS SIGUIENTES DATOS PARA UN GRAFICO NP:
SUBGRUPO TAMAÑO NÚMERO Nº DEL DE UNIDADES GRUPO DEFECTUOSAS 1 100 4 2 100 2 3 100 0 4 100 5 5 100 3 6 100 2 7 100 4 8 100 3 9 100 2 10 100 6 11 100 1 12 100 4 13 100 1 14 100 0 15 100 2 16 100 3 17 100 1 18 100 6 19 100 1 20 100 3 1 100 3 22 100 2 23 100 0 24 100 7 25 100 3
FRACCION PROMEDIO DE DEFECTOS 0.04 0.04 0 0.2 0.15 0.12 0.28 0.24 0.18 0.6 0.11 0.48 0.13 0 0.3 0.48 0.17 1.08 0.19 0.6 0.03 0.44 0 1.68 0.75
Ch Column B
Colum
140 120 100 80 60 40 20 0
1 2 3 4 5 6 7 8 9 10 11
CALIDAD NOMBRE: EDDY FLORES MITMA DOCENTE: ING. ALAN AREVALO
MEDIA
MAX
35.6 29.2 20.2 39.4 29.2 31.4 23.2 32 29 32.6 32.2 26.8 27.8 29.8 31.6 22.2 31.2 28.8 31.4 29.6 39 19.4 34.2 32.6 28.2 29.864
RANGO
MIN 47 37 44 59 45 40 33 44 37 45 44 32 47 38 50 32 41 48 47 40 52 31 47 54 42
MAX 1.9
RANGO 20 19 11 29 12 11 12 11 20 23 18 22 14 12 19 7 0 12 20 12 24 3 22 22 15
MIN 14
27 18 33 30 33 29 21 33 17 22 26 10 33 26 31 25 41 36 27 28 28 28 25 32 27 27.44
LCX 12.1
LCX
LC2X 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864 29.864
LC2X 12.948
LC1X 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441 30.441
LC1X 13.525
29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287 29.287
LCR 12.371
LCR 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44 27.44
LC2R 1.348 2.85102
1.3 1.1 1.7 2.2 1.5 0.9 1.1 1.8 1.4 0.9 1.2 1.6 0.5 1.4 1.1 1.3 1.7 0.9 1.2 1.1 2.4 1.3 1.5 0.7 1.348
13.4 13.5 13.7 14.4 13.9 13.3 13.3 13.9 13.4 13.2 13.6 14 13.3 13.6 13.6 13.9 14.2 13.2 13.5 13.3 14.6 13.9 13.9 13.3
12.1 12.4 12 12.2 12.4 12.4 12.2 12.1 12 12.3 12.4 12.4 12.8 12.2 12.5 12.6 12.5 12.3 12.3 12.2 12.2 12.6 12.4 12.6
12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948 12.948
13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525 13.525
Chart Title Column B
Column C
Column D
DEFECTOS
9000 8000 7000 6000 5000 4000 3000 2000 1000 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
12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371 12.371
1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348 1.348
2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102 2.85102
4000 3000 2000 1000 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
Chart Title Column B
Column C
Column D
DEFECTOS
40
20
00
80
60
40
20 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
GRAFICAS DE CONTROL LC2R
LC1R 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356 58.0356
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Column M
Column N
Column O
DATOS
130% 110% 90% 70% 50% 30% 10% -10%
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
GRAFICAS DE CONTROL Column P
Column Q
Column R
DATOS R
150 130 110 90 70 50 30 10 -10 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
LC1R
Chart Title 0 Column L 60 50
Column M
Column N
DATOS
Chart Title 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Column L
Column M
Column N
DATOS
60 50 40 30 20 10 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
Chart Title Column O
Column P
Column Q
DATOS R
7 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
DATOS
19 20 21 22 23 24 25
DATOS R
20 21 22 23 24 25