This document contains calculations and charts related to statistical process control. It includes tables of data and calculations of the mean and standard deviation. Line graphs show the mean and standard deviation over time, along with control limits calculated as the mean ±1, 2, or 3 standard deviations. The purpose is to monitor a process and identify any points outside the control limits that may indicate the process is becoming unstable or unpredictable.

1. LIMITES DE CONTROL
GRAFICAS “X” “R”

2. TABLA DE DATOS

3. TABLA DE CALCULOS DE LA DESVIACION
ESTANDAR

4. •DESVIACION ESTANDAR REAL
S= 8.43 LC S2+1
S1= 142.53 X Y X Y
S2= 150.96 1 17.7 1 24.16
S-1= 125.67 20 17.7 20 24.16
S-2= 117.24 UCL S2+2
X Y X Y
S2= 6.43 1 37.03 1 30.60
S2+1= 24.16 20 37.03 20 30.60
S2+2= 30.60 LCL S2-1
S2-1= 11.29 X Y X Y
S2-2= 4.86 1 0.0 1 11.29
20 0.0 20 11.29
S2-2
X Y
1 4.86
20 4.86

5. MEDIA ARITMETICA
DESVIACIONES ESTANDAR
LIMITES DE CONTROL
media aritmetica de las medias aritmeticas
S1
UCL= 159.395 LIMITE SUPERIOR DE CONTROL
CL X Y
LC= 134.1 LIMITE CENTRAL DE CONTROL
x y 1.0 142.5
LCL= 108.8 LIMITE INFERIOR DE CONTROL 1.0 134.1 20.0 142.5
20.0 134.1 S2
UCL X Y
x y 1.0 150.96
1.0 159.4 20.0 150.96
MEDIA ARITMETICA DE LAS DESVIACIONES ESTANDAR
20.0 159.4 S-1
UCL= 37.0301 LIMITE SUPERIOR DE CONTROL LCL X Y
x y 1.0 125.7
S= 17.7 LIMITE CENTRAL DE CONTROL
1.0 108.8 20.0 125.7
20.0 108.8 S-2
LCL= 0.0 LIMITE INFERIOR DE CONTROL
X Y
1.0 117.2
20.0 117.2

6. GRAFICA DE MEDIAS ARITMETICAS
170
160
150
140
130
120
110
100
90
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7. GRAFICA DE DESVIACIONES ESTANDAR
50
40
30
20
10
0
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