Primer trabajo

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Histogramas

Gráficos que representan un conjunto de datos
La siguiente tabla muestra los datos recolectados del diámetro inferior de los anillos forjados para pistones la medida es en mm.

# de muestra | Observaciones | |
1 | 74.030 | 74.002 | 74.019 | 73.992 | 74.008 |
2 | 73.995 | 73.992 | 74.001 | 74.011 | 74.004 |
3 | 73.998 | 74.024 | 74.021 | 74.005 | 74.002 |
4 | 74.002 |73.996 | 73.993 | 74.015 | 74.009 |
5 | 73.992 | 74.007 | 74.015 | 73.989 | 74.014 |
6 | 74.009 | 73.994 | 73.997 | 73.985 | 73.993 |
7 | 73.995 | 74.006 | 73.994 | 74.000 | 74.005 |
8 | 73.985 | 74.003 | 73.993 | 74.015 | 73.988 |
9 | 74.008 | 73.995 | 74.009 | 74.005 | 74.004 |
10 | 73.998 | 74.000 | 73.990 | 74.007 | 73.995 |
11 | 73.994 | 73.998 | 73.994 | 73.995 | 73.990 |
12| 74.004 | 74.000 | 74.007 | 74.000 | 73.996 |
13 | 73.983 | 74.002 | 73.998 | 73.997 | 74.012 |
14 | 74.006 | 73.967 | 73.994 | 74.000 | 73.984 |
15 | 74.012 | 74.014 | 73.998 | 73.990 | 74.007 |
16 | 74.000 | 73.984 | 74.005 | 73.998 | 73.996 |
17 | 73.994 | 74.012 | 73.986 | 73.995 | 74.007 |
18 | 74.000 | 74.010 | 74.018 | 74.003 | 74.000 |
19 | 73.984 | 74.002 | 74.003 | 74.005| 73.997 |
20 | 74.000 | 74.010 | 74.013 | 74.020 | 74.003 |
21 | 73.988 | 74.001 | 74.009 | 74.005 | 73.996 |
22 | 74.004 | 73.999 | 73.990 | 74.060 | 74.009 |
23 | 74.010 | 73.989 | 73.990 | 74.009 | 74.014 |
24 | 74.015 | 74.008 | 73.993 | 74.000 | 74.010 |
25 | 73.982 | 73.989 | 73.995 | 74.017 | 74.013 |

73.967 IIIII IIIII IIIII 73.993 IIIII IIIII IIIII IIIIIIIIII IIIII IIIII IIIII IIIII
73.992 IIIII II 74.017 IIIII IIIII IIIII IIIII IIIII IIIII IIIII IIIII I
74.018 IIIII I 74.043 I
74.042 74.067
Intervalos de .25



Histograma Frecuencia






Rango =xmax-xmin | |
1 | 74.030-73.992=.038 | |
2 | 74.011-73.992=.019 ||
3 | 74.024-73.988=.036 | |
4 | 74.015-73.993=.022 | |
5 | 74.015-73.989=.026 | |
6 | 74.009-73.985=.024 | |
7 | 74.006-73994=.012 | |
8 | 74.015-73.985=.03 | |
9 | 74.009-73.995=.014 | |
10 | 74.007-73.990=.017 | |
11 | 73.998-73.990=.008 | |
12 | 74.007-73.996=.011 | |
13 | 74.012-73.983=-029 | |
14 | 74.006-73.967=.039 | |
15 |74.014-73.998=.016 | |
16 | 74.005-73.984=.021 | |
17 | 74.007-73.986=.021 | |
18 | 74.018-74.000=.018 | |
19 | 74.005-73.984=.021 | |
20 | 74.020-74.000=.02 | |
21 | 74.009-73.998=.021 | |
22 | 74.009-73.990=.019 | |
23 | 74.014-73.989=.025 | |
24 | 74.015-73.993=.022 | |
25 | 74.017-73.982=.035 | |
| |
X=xn=9,250.147125=74.001176s2=0.012710607124= 0.0001025048952
S=0.01012447





Gráficos de rangos
1.-Agrupar en muestra de 5
2.-Obtener el rango de los subgrupos
Xmax-Xmin

3.-Obtener media de rangos y global
4.-Obtener limites superior e inferior
10.7 | 10.7 | 10.7 | 10.7 | 10.9 | .2 |
10.8 | 10.9 | 10.8 | 10.9 | 10.7 | .2 |
10.8 | 10.8 | 10.8 | 10.7 | 10.8 | .1 |
10.6 |10.7 | 10.8 | 10.7 | 10.9 | .3 |
10.7 | 10.8 | 10.8 | 10.9 | 10.7 | .2 |
10.7 | 10.8 | 10.7 | 10.9 | 10.8 | .2 |
10.6 | 10.8 | 10.7 | 10.8 | 10.8 | .2 |
10.8 | 10.7 | 10.7 | 10.8 | 10.9 | .2 |
10.7 | 10.8 | 10.7 | 10.7 | 10.8 | .1 |
10.8 | 10.9 | 10.7 | 10.7 | 10.7 | .2 |
107.2 | 107.9 | 107.4 | 107.8 | 108 | |

X=10.766Xr=0.19
LCS=M+R=10.956 LCI=M-R=10.576


Ejemplo 5-1
Numero de muestra | Observaciones | Xi | Ri |
1 | 74.030 | 74.002 | 74.019 | 73.992 | 74.008 | 74.010 | 0.038 |
2 | 73.995 | 73.992 | 74.001 | 74.011 | 74.004 | 74.001 | 0.019 |
3 | 73.988 | 74.024 | 74.021 | 74.005 | 74.002 | 74.008 |...
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