Grafico de control tipo P

Lic. Gerardo Edgar mata

alumno

Rafael armando ramirez Villarreal

3° E

Grafico tipo P

• El numero de piezas defectuosas y muestreadas se encuentran en el siguiente tabla proporción parte (1 de 2)

NNumero de piezas

muestradas Numero de piezas defectuosas proporción del

defecto

1 1190 9 0.007563

2 1186 6 0.005059

3 1214 10 0.008237

4 1192 5 0.004195

5 1204 4 0.003322

6 1198 5 0.004174

7 1200 3 0.002500

8 1180 8 0.006780

9 1198 4 0.003339

10 1202 5 0.004160

11 1196 5 0.004181

12 1200 6 0.005000

13 1194 4 0.003350

14 1188 5 0.004209

15 1190 3 0.002521

16 1194 4 0.003350

17 1198 4 0.003339

18 1192 6 0.005034

19 1214 4 0.003295

20 1202 3 0.002496

Grafico tipo p

• (Parte 2 de 2)

21 1188 5 0.004209

22 1212 4 0.003300

23 1202 4 0.003328

24 1196 3 0.002508

25 1198 2 0.001669

26 1180 3 0.002542

27 1176 5 0.004252

28 1194 3 0.002513

29 1008 5 0.004960

30 1210 5 0.004132

31 1194 6 0.005025

32 1210 2 0.001653

33 1192 5 0.004195

34 1194 3 0.002513

35 1214 4 0.003295

36 1192 12 0.010067

37 1196 4 0.003344

38 1202 3 0.002496

39 1216 7 0.005757

40 1194 5 0.004188

Grafico tipo P

Realizar su respectiva grafica con los siguientes resultados

0.995949 0.0055171 0.009568 0 0.005890 0 0.007729 00.004034773 0.009568 0.009568 42 0.005890 42 0.007729 423.38204E-060.001839032

0.0055171 -0.001466 0 0.002212 0 0.000373 00 0.004051 -0.001466 -0.001466 42 0.002212 42 0.000373 42

42 0.004051

p media= 0.004051

CL

PROMEDIO 1192.5

P REDONDEADO 1193

S=

0.00183903

p+1

p-1

p+2

p-2

UCL

LCL

Grafica a pata

Grafica tipo P (Excel)

Demostración de las Nelson rules

Rule 1One point is more than 3 standard deviations from

the mean

Nine (or more) points in a row are on the same side of the mean

Rule 2

Six (or more) points in a row are continually

increasing (or decreasing).

Fourteen (or more) points in a row

alternate in direction,

increasing then decreasing

Rule 3

Rule 4

Rule 7

Rule 5

Fifteen points in a row are all within 1 standard deviation

of the mean on either side of the mean.

Two (or three) out of three

points in a row are more than 2

standard deviations from the mean in the same direction

 Eight points in a row exist with none within 1 standard deviation of the mean and the points are in both directions from

the mean

Four (or five) out of five points in a

row are more than 1 standard deviation from the mean in the same direction.

Nelson rule 6

Nelson rule 8

Conclusion

• Las Nelson rules podemos ver que sirven para ver la variabilidad del proceso si varea mucho a comparación de muestreos algunas se pueden encontrar fuera del limite de nuestros limites (UCL o LCL) es una gran herramienta el grafico de control complementado con las Nelson rules ya que las graficas demuestran los números de nuestro proceso.