The document is a student report analyzing data from a control chart with 30 samples. It includes the raw data, calculations of central and control limits, and an analysis showing some samples outside the control limits. The purpose is to determine if the process being measured is stable and in control.

1. CONTROL ESTADISTICO
DEL PROCESO.

2. Tema: GRAFICO DE CONTROL 30 X 11
Materia: Control Estadístico del Proceso.
Profesor: Lic. Mata.
Carrera: Procesos Industriales.
Alumna: Wendy Nayeli Ortiz Flores.
Grupo : 4 A Turno Nocturno

3. DATOS
DATOS 5 1 2 3 4 5 6 7 8 9 10 1 12 13 14 15 16 17 18 19 20 21 2 23 24 25 26 27 28 29 30
1 12.5 10.9 14.5 13.5 3.1 9.5 12.6 7.9 14.6 12 8.3 13 10.3 16.5 13 7 1 .9 1 .6 7.4 8.2 9.6 8 17.3 1 .7 13.2 14.3 12.2 9.4 17.1 8.7
2 15.1 10.5 14 16.4 15.2 14.8 1 .9 1 .4 4.5 9.8 14.5 13.7 10.4 5.4 14 12.5 15.1 10 6.7 8.9 13.9 1 .1 9.2 1 .4 10.8 8.7 5.7 15.6 10 9.5
3 12.2 16.3 1 .4 13.6 14 10.4 16.3 14.5 14.8 13.3 13.1 18.7 1 .2 13.4 14.1 1 .3 8.9 12.6 14.4 9.7 8.8 15.3 1 .4 14.2 17.8 12.1 17 8.6 12.3 10.8
4 13.2 15.9 1 15.3 1 .6 1 .4 13.1 13.1 14.3 12.2 9.3 13.7 14.4 12.1 1 .6 12.8 9.2 10.9 1 .3 15.9 1 .3 12 13.7 17.3 10.2 16 14.4 17.4 9.6 12.3
5 15.1 19.7 10.1 13.7 6.5 1 .4 1 .8 12.4 2.9 7.4 6.8 5 16.5 9.6 6.3 12.7 14.2 10.2 15 12.3 1 .9 16 6.4 1 .7 16.5 13.2 10.7 1 .3 12.5 16
6 13.7 9.2 10.6 1 .7 9.6 10.5 7.8 13.2 18.9 10.3 15.8 12.6 1 .3 13.5 12.4 15.1 9.3 13 10.1 7.5 13.1 5 14.9 16 1 12.2 7.2 12 10.2 9.3
7 1 .3 15.3 1 .6 10.5 10.9 13.5 12.2 1 .4 10.1 8.2 12.4 10.6 14.6 9.9 12.5 8.1 15.1 15.1 16.7 10.4 10.5 13.4 10.2 9.5 12.3 6.8 16.8 9.2 9.2 1 .2
8 12.6 12.3 10.2 15.1 13.3 10.7 10.2 17.4 1 .5 8.2 13.6 1 .3 9.6 12 16.2 16 8.9 16.3 1 13.1 7.3 1 .9 13.2 13.5 1 .3 14.7 14.5 13.4 12.1 14.6
9 9.2 8.2 8.2 1 .6 10.2 5.6 1 .5 6.3 10.8 14.9 4.4 15.7 17.2 14.1 9.5 15.9 1 .7 1 .2 16.2 1 .7 16.3 10 14.1 12.4 10 13 12.9 15.4 9.7 1 .2
10 1 10.7 13.3 16.6 10.6 15 15.3 13.7 12.7 9.1 12.1 10.3 17.9 15.5 10.3 12.1 19.5 12.6 15.4 12.1 3.4 14.9 12.7 8.4 14 8.5 17.5 12.8 17.1 12
1 10.9 9.8 1 12.8 12.7 9.5 13.3 1 .0 10.0 13.9 14.8 1 .3 19.3 16.3 10.7 15.3 9.5 12.6 9.9 10.7 13.7 15.6 9.9 12.9 9.4 10 6.3 13.5 8.9 9.2
∑= 136.8 138.8 125.9 150.8 1 7.7 12 .3 136 132.3 125.1 1 9.3 125.1 135.9 152.7 138.3 130.6 138.8 13 .3 136.1 134.1 120.5 1 9.8 13 .2 13 139 136.5 129.5 135.2 138.6 128.7 124.8
xm= 12.4 12.6 1 .4 13.7 10.7 1 .1 12.4 12.0 1 .4 10.8 1 .4 12.4 13.9 12.6 1 .9 12.6 12.1 12.4 12.2 1 .0 10.9 12.1 12.1 12.6 12.4 1 .8 12.3 12.6 1 .7 1 .3
s= 3.527 3.5 2 3.383 3.703 3.271 3.3 4 3.516 3.468 3.372 3.293 3.372 3.515 3.726 3.546 3.4 6 3.5 2 3.481 3.517 3.492 3.310 3.30 3.480 3.47 3.5 5 3.523 3.431 3.506 3.5 0 3.421 3.368

5. LIMITES DE CONTROL
Media aritmetica de las medias aritmeticas A3= 0.927 LC
UCL= 15.24 LIMITE SUPERIOR DE CONTROL B3= 0.321 X Y
LC= 12.0 LIMITE CENTRAL DE CONTROL B4= 1.679 1 12.0
LCL= 8.8 LIMITE INFERIOR DE CONTROL 30 12.0
UCL
MEDIA ARITMETICA DE LAS DESVIACIONES ESTANDAR X Y
UCL= 5.8 LIMITE SUPERIOR DE CONTROL 1 15.24
S= 3.5 LIMITE CENTRAL DE CONTROL 30 15.24
LCL= 0.0 LIMITE INFERIOR DE CONTROL LCL
X Y
1 8.8
30 8.8

6. DESVIACION ESTANDAR REAL LC S2+1
X Y X Y
S= 11.23 1 3.47 1 8.13
S1= 23.26 30 3.47 30 8.13
S2= 34.488 UCL S2+2
S-1= 0.80 X Y X Y
S-2= -10.44 1 5.8 1 12.79
30 5.8 30 12.79
S2= 4.66 LCL S2-1
S2+1= 8.13 X Y X Y
S2+2= 12.79 1 0.0 1 -1.20
S2-1= -1.20 30 0.0 30 -1.20
S2-2= -5.86 S2-2
X Y
1 -1.20
30 -1.20

7. 0.4166 12.8294 15.4235 1.2707 31.5640 0.0476 0.5971 22.9528 7.5875 1.6664 16.8846 27.1346 0.8768 0.6255 6.3871 0.0083 10.2400 29.1600 6.9984
1.8102 12.1231 51.4480 4.5253 0.0140 8.8912 5.6298 30.1501 4.2212 9.0546 1.0183 8.3574 1.5286 2.5892 9.4417 43.4401 9.0000 2.8900 3.4057
40.2648 7.1921 0.6844 4.9607 1.7376 10.3567 0.0517 4.8801 1.5739 4.3719 10.1819 0.4774 2.4450 29.0619 0.1071 22.1755 16.0000 0.3600 0.2975
1.8102 0.2685 0.2235 0.0744 0.0331 8.5158 2.1689 0.7937 24.4575 0.1674 0.0119 2.5892 21.7495 4.8801 17.8698 4.4483 23.0400 4.4100 0.9112
54.0893 6.8549 8.8371 31.0553 0.0067 4.3340 4.7207 7.8910 1.8102 1.0183 15.1392 32.3864 0.8768 16.7355 2.0371 2.5310 1.6900 0.6400 21.6648
0.0602 6.6658 0.8598 0.2780 6.1594 7.9421 0.3935 4.3719 11.9339 4.8801 50.5392 7.8910 11.3140 1.9855 0.1826 25.9174 0.3600 2.2500 4.1839
3.0784 0.5158 7.1435 0.3935 20.4140 8.8912 7.4380 20.3319 0.3075 0.1528 1.6664 3.5755 9.8368 0.0119 24.7280 20.3319 11.5600 6.2500 0.0212
1.1121 18.3340 0.3280 18.7253 11.4367 10.3567 15.4235 1.4183 4.6030 12.8946 0.0437 1.2301 0.7459 1.2301 8.5689 4.8801 0.6400 0.1600 10.5921
11.1921 11.0103 2.3326 5.6298 10.7703 0.1749 1.3753 16.0728 0.5557 29.2583 4.4483 4.0364 0.0559 5.8037 1.5062 0.3710 7.8400 4.0000 0.0212
4.2212 16.1458 8.5689 2.4735 0.2685 54.4912 0.0517 10.2983 1.3121 56.1137 7.7892 0.3710 17.9468 2.5310 10.7107 27.1346 0.0400 29.1600 0.4284
1.1121 29.3567 13.8926 1.3753 7.1921 6.8549 0.0517 5.2483 0.0648 7.8910 12.1864 4.8001 0.0695 9.0546 3.1426 35.8910 0.8100 7.8400 4.6030
119.167 121.296 109.742 70.762 89.596 120.856 37.902 124.409 58.427 127.469 119.909 92.849 67.445 74.509 84.682 187.129 81.220 87.120 53.127
10.833 11.027 9.977 6.433 8.145 10.987 3.446 11.310 5.312 11.588 10.901 8.441 6.131 6.774 7.698 17.012 7.384 7.920 4.830
3.291 3.321 3.159 2.536 2.854 3.315 1.856 3.363 2.305 3.404 3.302 2.905 2.476 2.603 2.775 4.125 2.717 2.814 2.198