Rubrica de conalep
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Publicado: 17 de junio de 2011
CONALEP II
NOMBRE: Eduardo Rómulo Aguilar
P.S.P: TABÓN AVALOS ADRIANA
MODULO: CONTROL ESTADÍSTICO DEL PROCESO
CARRERA: QUÍMICA INDUSTRIAL
GRUPO. QUIN – 405
TRABAJO: RUBRICA 1.2.1
CICLO ESCOLAR
FEBRERO – JULIO 2011
De una serie de 100 focos que se fabrica se verifico la resistencia de sus bobinas para asegurar su calidad las resistencias se calculan en ohm losresultados que se obtuvieron se encuentran en la siguiente tabla.
a) calcular todas las medidas de tendencia central
b) calcular las medidas de desviación
c) realizar una tabla de frecuencia
d) realizar una grafica de percentiles
TABLA DE FRECUENCIA
DATOS | FREC.AB.SIMPLE | FREC.ACUMULADA | RELATIVA SIMPLE | RELATIVA ACUMULADA |
3.27 | 1 | 1 | 0.01 | 0.01X100= 1% |3.28 | 1 | 2 | 0.01 | 0.01+0.01= 0.02X100=2% |
3.29 | 3 | 5 | 0.03 | 0.02+0.03= 0.05X100= 5% |
3.3 | 5 | 10 | 0.05 | 0.05+0.05= 0.1X100=10% |
3.31 | 9 | 19 | 0.09 | 0.1+0.09=0.19X100=19% |
3.32 | 9 | 28 | 0.09 | 0.19+0.09=0.28X100=28% |
3.33 | 10 | 38 | 0.1 | 0.28+0.1=0.38X100=38% |
3.34 | 12 | 50 | 0.12 | 0.38+0.12=0.5X100=50% |
3.35 | 14 | 64 | 0.14 | 0.5+0.14=0.64X100=64% |3.36 | 13 | 77 | 0.13 | 0.64+0.13=0.77X100=77% |
3.37 | 8 | 85 | 0.08 | 0.77+0.08=0.85X100=85% |
3.38 | 6 | 91 | 0.06 | 0.85+0.06=0.91X100=91% |
3.39 | 4 | 95 | 0.04 | 0.91+0.04=0.95X100=95% |
3.4 | 2 | 97 | 0.02 | 0.95+0.02=0.97X100=97% |
3.41 | 2 | 99 | 0.02 | 0.97+0.02=0.99X100=99% |
3.44 | 1 | 100 | 0.01 | 0.99+0.01=1X100=100% |
| ∑= 100 | | ∑=1 | |3.37 | 3.34 | 3.38 | 3.32 | 3.33 | 3.28 | 3.34 | 3.31 | 3.33 | 3.34 |
3.29 | 3.36 | 3.30 | 3.31 | 3.33 | 3.34 | 3.34 | 3.36 | 3.39 | 3.34 |
3.35 | 3.36 | 3.30 | 3.32 | 3.33 | 3.35 | 3.35 | 3.34 | 3.32 | 3.38 |
3.32 | 3.37 | 3.34 | 3.38 | 3.36 | 3.37 | 3.36 | 3.31 | 3.33 | 3.30 |
3.35 | 3.33 | 3.38 | 3.37 | 3.44 | 3.32 | 3.36 | 3.32 | 3.29 | 3.35 |
3.38 | 3.39 | 3.34 | 3.32 | 3.30 | 3.39| 3.36 | 3.40 | 3.32 | 3.33 |
3.29 | 3.41 | 3.27 | 3.36 | 3.41 | 3.37 | 3.36 | 3.37 | 3.33 | 3.36 |
3.31 | 3.33 | 3.35 | 3.34 | 3.35 | 3.34 | 3.31 | 3.36 | 3.37 | 3.35 |
3.40 | 3.35 | 3.37 | 3.32 | 3.35 | 3.36 | 3.38 | 3.35 | 3.31 | 3.34 |
3.35 | 3.36 | 3.39 | 3.31 | 3.31 | 3.30 | 3.35 | 3.33 | 3.35 | 3.31 |
1) Media o Media aritmética :x=334.41100 x=3.3441
MEDIDAS DE DESVIACIÓN
X | FAS | X F | lXi-XlF | (X-X)2F |
3.27 | 1 | 3.27 | |3.27-3.34|1=0.07 | (3.27-3.34)²1=4.9 |
3.28 | 1 | 3.28 | |3.28-3.34|1=0.06 | (3.28-3.34)²1=3.6 |
3.29 | 3 | 9.87 | |3.29-3.34|3=0.15 | (3.29-3.34)²3=7.5 |
3.3 | 5 | 16.5 | |3.30-3.34|5=0.2 | (3.30-3.34)²5=8 |
3.31 | 9 | 29.79 ||3.31-3.34|9=0.27 | (3.31-3.34)²9=8.1 |
3.32 | 9 | 29.88 | |3.32-3.34|9=0.18 | (3.32-3.34)²9=3.6 |
3.33 | 10 | 33.3 | |3.33-3.34|10=0.1 | (3.33-3.34)²10=1 |
3.34 | 12 | 40.08 | |3.34-3.34|12=0 | (3.34-3.34)²12=0 |
3.35 | 14 | 46.9 | |3.35-3.34|14=0.14 | (3.35-3.34)²14=1.4 |
3.36 | 13 | 43.68 | |3.36-3.34|13=0.26 | (3.36-3.34)²13=5.2 |
3.37 | 8 | 26.96 | |3.37-3.34|8=0.24 |(3.37-3.34)²8=7.2 |
3.38 | 6 | 20.28 | |3.38-3.34|6=0.24 | (3.38-3.34)²6=9.6 |
3.39 | 4 | 13.56 | |3.39-3.34|4=0.2 | (3.39-3.34)²4=0.01 |
3.4 | 2 | 6.8 | |3.40-3.34|2=0.12 | (3.40-3.34)²2=7.2 |
3.41 | 2 | 6.82 | |3.41-3.34|2=0.14 | (3.41-3.34)²2=9.8 |
3.44 | 1 | 3.44 | |3.44-3.34|1=0.1 | (3.44-3.34)²1=0 |
| | ∑334.41 | ∑2.47 | ∑77.11 |
R=3.27-3.44=0.17
DX=∑ 2.47 =0.0247100
σ²=∑ 77.11=0.7711
100
σ=√0.7711=0.8781
Cv=0.8781/3.34= 0.2805
MEDIDAS DE TENDENCIA CENTRAL
MG:(3.37X3.29X3.35X3.32X3.35X3.38X3.29X3.31X3.40X3.35)= 173188.00
MG:(3.34X3.36X3.36X3.37X3.33X3.39X3.41X3.33X3.35X3.36)= 183350.26
MG:(3.38X3.30X3.30X3.34X3.38X3.34X3.27X3.35X3.37X3.39)= 173690.62
MG:(3.32X3.31X3.32X3.38X3.37X3.32X3.36X3.34X3.32X3.31)= 170153.41...
NOMBRE: Eduardo Rómulo Aguilar
P.S.P: TABÓN AVALOS ADRIANA
MODULO: CONTROL ESTADÍSTICO DEL PROCESO
CARRERA: QUÍMICA INDUSTRIAL
GRUPO. QUIN – 405
TRABAJO: RUBRICA 1.2.1
CICLO ESCOLAR
FEBRERO – JULIO 2011
De una serie de 100 focos que se fabrica se verifico la resistencia de sus bobinas para asegurar su calidad las resistencias se calculan en ohm losresultados que se obtuvieron se encuentran en la siguiente tabla.
a) calcular todas las medidas de tendencia central
b) calcular las medidas de desviación
c) realizar una tabla de frecuencia
d) realizar una grafica de percentiles
TABLA DE FRECUENCIA
DATOS | FREC.AB.SIMPLE | FREC.ACUMULADA | RELATIVA SIMPLE | RELATIVA ACUMULADA |
3.27 | 1 | 1 | 0.01 | 0.01X100= 1% |3.28 | 1 | 2 | 0.01 | 0.01+0.01= 0.02X100=2% |
3.29 | 3 | 5 | 0.03 | 0.02+0.03= 0.05X100= 5% |
3.3 | 5 | 10 | 0.05 | 0.05+0.05= 0.1X100=10% |
3.31 | 9 | 19 | 0.09 | 0.1+0.09=0.19X100=19% |
3.32 | 9 | 28 | 0.09 | 0.19+0.09=0.28X100=28% |
3.33 | 10 | 38 | 0.1 | 0.28+0.1=0.38X100=38% |
3.34 | 12 | 50 | 0.12 | 0.38+0.12=0.5X100=50% |
3.35 | 14 | 64 | 0.14 | 0.5+0.14=0.64X100=64% |3.36 | 13 | 77 | 0.13 | 0.64+0.13=0.77X100=77% |
3.37 | 8 | 85 | 0.08 | 0.77+0.08=0.85X100=85% |
3.38 | 6 | 91 | 0.06 | 0.85+0.06=0.91X100=91% |
3.39 | 4 | 95 | 0.04 | 0.91+0.04=0.95X100=95% |
3.4 | 2 | 97 | 0.02 | 0.95+0.02=0.97X100=97% |
3.41 | 2 | 99 | 0.02 | 0.97+0.02=0.99X100=99% |
3.44 | 1 | 100 | 0.01 | 0.99+0.01=1X100=100% |
| ∑= 100 | | ∑=1 | |3.37 | 3.34 | 3.38 | 3.32 | 3.33 | 3.28 | 3.34 | 3.31 | 3.33 | 3.34 |
3.29 | 3.36 | 3.30 | 3.31 | 3.33 | 3.34 | 3.34 | 3.36 | 3.39 | 3.34 |
3.35 | 3.36 | 3.30 | 3.32 | 3.33 | 3.35 | 3.35 | 3.34 | 3.32 | 3.38 |
3.32 | 3.37 | 3.34 | 3.38 | 3.36 | 3.37 | 3.36 | 3.31 | 3.33 | 3.30 |
3.35 | 3.33 | 3.38 | 3.37 | 3.44 | 3.32 | 3.36 | 3.32 | 3.29 | 3.35 |
3.38 | 3.39 | 3.34 | 3.32 | 3.30 | 3.39| 3.36 | 3.40 | 3.32 | 3.33 |
3.29 | 3.41 | 3.27 | 3.36 | 3.41 | 3.37 | 3.36 | 3.37 | 3.33 | 3.36 |
3.31 | 3.33 | 3.35 | 3.34 | 3.35 | 3.34 | 3.31 | 3.36 | 3.37 | 3.35 |
3.40 | 3.35 | 3.37 | 3.32 | 3.35 | 3.36 | 3.38 | 3.35 | 3.31 | 3.34 |
3.35 | 3.36 | 3.39 | 3.31 | 3.31 | 3.30 | 3.35 | 3.33 | 3.35 | 3.31 |
1) Media o Media aritmética :x=334.41100 x=3.3441
MEDIDAS DE DESVIACIÓN
X | FAS | X F | lXi-XlF | (X-X)2F |
3.27 | 1 | 3.27 | |3.27-3.34|1=0.07 | (3.27-3.34)²1=4.9 |
3.28 | 1 | 3.28 | |3.28-3.34|1=0.06 | (3.28-3.34)²1=3.6 |
3.29 | 3 | 9.87 | |3.29-3.34|3=0.15 | (3.29-3.34)²3=7.5 |
3.3 | 5 | 16.5 | |3.30-3.34|5=0.2 | (3.30-3.34)²5=8 |
3.31 | 9 | 29.79 ||3.31-3.34|9=0.27 | (3.31-3.34)²9=8.1 |
3.32 | 9 | 29.88 | |3.32-3.34|9=0.18 | (3.32-3.34)²9=3.6 |
3.33 | 10 | 33.3 | |3.33-3.34|10=0.1 | (3.33-3.34)²10=1 |
3.34 | 12 | 40.08 | |3.34-3.34|12=0 | (3.34-3.34)²12=0 |
3.35 | 14 | 46.9 | |3.35-3.34|14=0.14 | (3.35-3.34)²14=1.4 |
3.36 | 13 | 43.68 | |3.36-3.34|13=0.26 | (3.36-3.34)²13=5.2 |
3.37 | 8 | 26.96 | |3.37-3.34|8=0.24 |(3.37-3.34)²8=7.2 |
3.38 | 6 | 20.28 | |3.38-3.34|6=0.24 | (3.38-3.34)²6=9.6 |
3.39 | 4 | 13.56 | |3.39-3.34|4=0.2 | (3.39-3.34)²4=0.01 |
3.4 | 2 | 6.8 | |3.40-3.34|2=0.12 | (3.40-3.34)²2=7.2 |
3.41 | 2 | 6.82 | |3.41-3.34|2=0.14 | (3.41-3.34)²2=9.8 |
3.44 | 1 | 3.44 | |3.44-3.34|1=0.1 | (3.44-3.34)²1=0 |
| | ∑334.41 | ∑2.47 | ∑77.11 |
R=3.27-3.44=0.17
DX=∑ 2.47 =0.0247100
σ²=∑ 77.11=0.7711
100
σ=√0.7711=0.8781
Cv=0.8781/3.34= 0.2805
MEDIDAS DE TENDENCIA CENTRAL
MG:(3.37X3.29X3.35X3.32X3.35X3.38X3.29X3.31X3.40X3.35)= 173188.00
MG:(3.34X3.36X3.36X3.37X3.33X3.39X3.41X3.33X3.35X3.36)= 183350.26
MG:(3.38X3.30X3.30X3.34X3.38X3.34X3.27X3.35X3.37X3.39)= 173690.62
MG:(3.32X3.31X3.32X3.38X3.37X3.32X3.36X3.34X3.32X3.31)= 170153.41...
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