1. UNIVERSIDAD TECNOLÓGICA DE TORREÓN
CARRERA: PROCESOS INDUSTRIALES ÁREA MANUFACTURA
 Materia: estadística
 Profesor: Edgar Mata
 Trabajo: ejercicio #8
 Alumnas: Amairani López Arellano “Armani”
 Grado y sección: 2.-D

3. min= 1.412 intervalo aparante intervalos reales
max= 1.562 lim.inf. lim.sup. lim.inf. lim,sup. xi fi fai fri frai fi*xi (xi-x).fi (xi-x)2*fi
rango= 0.15 1.411 1.427 1.4105 1.4275 1.419 2 2 0.00666667 0.00666667 2.838 0.16524 0.01365213
tamño de intervalo 9 1.428 1.444 1.4275 1.4445 1.436 2 4 0.00666667 0.01333333 2.872 0.13124 0.00861197
no. De intervalo 0.017 1.445 1.461 1.4445 1.4615 1.453 14 18 0.04666667 0.06 20.342 0.68068 0.03309466
1.462 1.478 1.4615 1.4785 1.47 34 52 0.11333333 0.17333333 49.98 1.07508 0.03399403
1.479 1.495 1.4785 1.4955 1.487 78 130 0.26 0.43333333 115.986 1.14036 0.01667206
1.496 1.512 1.4955 1.5125 1.504 71 201 0.23666667 0.67 106.784 0.16898 0.00040217
1.513 1.529 1.5125 1.5295 1.521 50 251 0.16666667 0.83666667 76.05 0.969 0.01877922
1.53 1.546 1.5295 1.5465 1.538 33 284 0.11 0.94666667 50.754 1.20054 0.04367565
1.547 1.563 1.5465 1.5635 1.555 16 300 0.05333333 1 24.88 0.85408 0.04559079
totales 450.486 6.3852 0.21447268
media aritmetica 1.50162
desviacion media 0.021284
varianza 0.00071491
desviacion estandar 0.02673778

4. x= 1,50162
x+s 1,52835778
x+2s 1,55509556
x+3s 1,58183334
x-s 1,47488222
x-2s 1,44814444
x-3s 1,42140666
USL 1,8
TV 1,5
LSL 1,4

5. 90
80
70
Series1
x= 1,50162
60 x
x+s x+s 1,52835778
50 x+2s x+2s 1,55509556
x+3s x+3s 1,58183334
x-s
40 x-s 1,47488222
x-2s
x-2s 1,44814444
x-3s
30 x-3s 1,42140666
USL
TV
20 LSL
USL 1,75
10
TV 1,5
LSL 1,35
0
1.3 1.35 1.4 1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.8

6. 90
80
x= 1,50162
70
Series1 x+s 1,52835778
x x+2s 1,55509556
60
x+s x+3s 1,58183334
x+2s
50 x-s 1,47488222
x+3s
x-2s 1,44814444
x-s
40
x-2s x-3s 1,42140666
30 x-3s
USL
20 TV
USL 1,7
LSL
TV 1,5
10
LSL 1,3
0
1.2 1.3 1.4 1.5 1.6 1.7 1.8

7. 90
80
70 x= 1,50162
Series1
x+s 1,52835778
60 x
x+2s 1,55509556
x+s
x+2s x+3s 1,58183334
50
x+3s x-s 1,47488222
40 x-s x-2s 1,44814444
x-2s
x-3s 1,42140666
30 x-3s
USL
20 TV
LSL USL 1,6
10
TV 1,5
LSL 1,2
0
1.1 1.2 1.3 1.4 1.5 1.6 1.7

8. 90
80
70
Series1 x= 1,50162
60 x x+s 1,52835778
x+s
x+2s 1,55509556
50 x+2s
x+3s 1,58183334
x+3s
x-s x-s 1,47488222
40
x-2s x-2s 1,44814444
x-3s x-3s 1,42140666
30
USL
TV
20 LSL
USL 1,75
10 TV 1,5
LSL 1,1
0
1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

9. 90
80
70 x= 1,50162
Series1
x x+s 1,52835778
60
x+s x+2s 1,55509556
x+2s x+3s 1,58183334
50
x+3s
x-s 1,47488222
x-s
40
x-2s 1,44814444
x-2s
x-3s x-3s 1,42140666
30
USL
20 TV
LSL
USL 1,7
10
TV 1,5
0 LSL 1,6
1.3 1.35 1.4 1.45 1.5 1.55 1.6 1.65 1.7 1.75

10. 90
80
70 x= 1,50162
Series1
x x+s 1,52835778
60
x+s x+2s 1,55509556
x+2s x+3s 1,58183334
50
x+3s
x-s 1,47488222
x-s
40
x-2s 1,44814444
x-2s
x-3s x-3s 1,42140666
30
USL
20 TV
LSL
USL 1,6
10
TV 1,5
0 LSL 0,95
0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7

11. 90
80
70 x= 1,50162
Series1
x x+s 1,52835778
60
x+s x+2s 1,55509556
x+2s x+3s 1,58183334
50
x+3s
x-s 1,47488222
x-s
40 x-2s 1,44814444
x-2s
x-3s x-3s 1,42140666
30
USL
20 TV
LSL
USL 1,55
10
TV 1,5
0 LSL 0,9
0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7

12. 90
80
x= 1,50162
70 Series1
x+s 1,52835778
x
60 x+2s 1,55509556
x+s
x+2s x+3s 1,58183334
50
x+3s x-s 1,47488222
x-s
40 x-2s 1,44814444
x-2s
x-3s 1,42140666
30 x-3s
USL
20 TV
LSL USL 1,65
10
TV 1,5
0 LSL 1
0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7