Gragica de control 1 1
- 1. DATOS 1 2 3 4 5
X1 103 147 143 122 88
X2 107 145 167 165 149
X3 140 148 121 145 128
X4 118 109 156 127 128
X5 158 131 104 152 148
160
150
140
130
120
110
100
40
35
30
25
20
15
10
5
0
calculo de desviacion e 1 2 3 4 5
DATOS 103 147 143 122 88
X1 107 145 167 165 149
- 2. X2 140 148 121 145 128
X3 118 109 156 127 128
X4 158 131 104 152 148
X5 626 680 691 711 641
∑ 125.2 136 138.2 142.2 128.2
media 20.84 14.83 22.96 15.89 22.09
s
492.84 121 23.04 408.04 1616.04
331.24 81 829.44 519.84 432.64
219.04 144 295.84 7.84 0.04
51.84 729 316.84 231.04 0.04
1075.84 25 1169.64 96.04 392.04
2170.8 1100 2634.8 1262.8 2440.8
suma 434.16 220 526.96 252.56 488.16
varianza (s2) 20.84 14.83 22.96 15.89 22.09
s
media aritmet limite superior de control
159.40 limite central de control
134.1 limite inferior de control
108.80
media aritmetica de las desviaciones estandar
limite superior de control
37.03 limite central de control
17.73 limite inferior de control
0
- 3. 6 7 8 9 10 11 12
152 153 152 89 95 138 106
143 165 128 117 98 155 112
154 75 136 123 131 169 121
170 155 108 132 90 152 155
147 132 135 153 92 102 118
^
6 7 8 9 10 11 12
152 153 152 89 95 138 106
143 165 128 117 98 155 112
- 4. 154 75 136 123 131 169 121
170 155 108 132 90 152 155
147 132 135 153 92 102 118
766 680 659 614 506 716 612
153.2 136 131.8 122.8 101.2 143.2 122.4
9.24 32.34 14.26 20.85 15.14 22.83 17.10
1.44 289 408.04 1142.44 38.44 27.04 268.96
104.04 841 14.44 33.64 10.24 139.24 108.16
0.64 3721 17.64 0.04 888.04 665.64 1.96
282.24 361 566.44 84.64 125.44 77.44 1062.76
38.44 16 10.24 912.04 84.64 1697.44 19.36
426.8 5228 1016.8 2172.8 1146.8 2606.8 1461.2
85.36 1045.6 203.36 434.56 229.36 521.36 292.24
9.24 32.34 14.26 20.85 15.14 22.83 17.10
A3 = 1.427 desviaciones estandar reales limite central
8.43 x
B4 = 2.089 142.53 1
150.96 20
B3 = 0 125.67
117.24
- 5. 13 14 15 16 17 18 19
122 105 166 151 159 125 125
109 125 179 204 132 133 115
157 110 153 139 152 131 93
89 110 139 138 175 164 108
94 90 154 149 168 161 147
13 14 15 16 17 18 19
122 105 166 151 159 125 125
109 125 179 204 132 133 115
- 6. 157 110 153 139 152 131 93
89 110 139 138 175 164 108
94 90 154 149 168 161 147
571 540 791 781 786 714 588
114.2 108 158.2 156.2 157.2 142.8 117.6
24.34 11.22 13.47 24.46 14.82 16.33 18.02
60.84 9 60.84 27.04 3.24 316.84 54.76
27.04 289 432.64 2284.84 635.04 96.04 6.76
1831.84 4 27.04 295.84 27.04 139.24 605.16
635.04 4 368.64 331.24 316.84 449.44 92.16
408.04 324 17.64 51.84 116.64 331.24 864.36
2962.8 630 906.8 2990.8 1098.8 1332.8 1623.2
592.56 126 181.36 598.16 219.76 266.56 324.64
24.34 11.22 13.47 24.46 14.82 16.33 18.02
ucl lcl
y x y x y
134.1 1 159.4 1 108.8
143.1 20 159.4 20 108.8
- 8. 150
145
153
737
147.4
3.50
5.76
11.56
6.76
5.76
31.36
61.2
12.24
3.50