Primer trabajo

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 |...