1. ESTADISTICA EN LA
CALIDAD
•Universidad Tecnológica de
•Lic. Gerardo Edgar Mata
•Procesos Industriales Área
Manufactura
•Mariana Elizabeth Venegas
Sifuentes
Torreón

2. CONCEPTO

3. Planteamiento

4. Datos
24
1
2
3
4
5
6
7
8
9
10
11 12
13
14
15
16
17
18
19
20
21 22
23
24
25
26
27
28
29
30
1,529 1,48 1,503 1,482 1,487 1,502 1,477 1,52 1,499 1,502 1,486 1,512 1,512 1,506 1,484 1,501 1,517 1,536 1,497 1,537 1,502 1,513 1,503 1,496 1,485 1,464 1,49 1,47 1,491
1,502
1,52 1,494 1,508 1,536 1,508 1,535 1,464 1,493 1,508 1,473 1,507 1,537 1,508 1,483 1,515 1,492 1,503 1,496 1,496 1,496 1,49 1,509 1,478 1,478 1,474 1,471 1,49 1,48 1,524
1,517
1,488 1,492 1,517 1,493 1,503 1,502 1,515 1,493 1,513 1,509 1,463 1,496 1,518 1,524 1,498 1,457 1,508 1,512 1,504 1,518 1,479 1,496 1,502 1,514 1,495 1,469 1,52 1,53 1,472
1,485
1,52 1,505 1,479 1,509 1,514 1,499 1,49 1,507 1,52 1,496 1,481 1,476 1,497 1,485 1,528 1,475 1,496 1,499 1,495 1,506 1,48 1,513 1,482 1,509 1,525 1,472 1,53 1,5 1,444
1,48
1,53 1,509 1,521 1,467 1,501 1,525 1,494 1,491 1,457 1,5
1,503 1,482 1,504 1,527 1,509 1,462 1,492 1,521 1,519 1,532 1,473 1,511 1,517 1,517 1,495 1,47 1,49 1,52 1,469
1,495
1,493 1,488 1,485 1,536 1,52 1,474 1,497 1,483 1,506 1,501 1,502 1,486 1,492 1,516 1,504 1,491 1,454 1,484 1,515 1,52 1,492 1,479 1,493 1,49 1,527 1,503 1,53 1,52 1,518
1,538
1,514 1,476 1,494 1,486 1,515 1,518 1,499 1,503 1,498 1,516 1,524 1,451 1,488 1,468 1,488 1,511 1,488 1,512 1,507 1,45 1,499 1,495 1,502 1,533 1,484 1,465 1,47 1,49 1,51
1,529
1,509 1,514 1,497 1,497 1,497 1,495 1,506 1,524 1,502 1,468 1,478 1,502 1,479 1,515 1,487 1,523 1,506 1,51 1,503 1,481 1,513 1,516 1,495 1,498 1,495 1,511 1,5 1,53 1,495
1,499
1,485 1,523 1,496 1,491 1,508 1,521 1,499 1,518 1,502 1,491 1,514 1,494 1,519 1,507 1,505 1,503 1,508 1,514 1,48 1,474 1,539 1,527 1,519 1,496 1,492 1,509 1,49 1,51 1,503
1,488
1,5
1,504
1,489 1,472 1,506 1,487 1,444 1,494 1,506 1,468 1,531 1,485 1,49 1,514 1,516 1,497 1,465 1,51 1,483 1,482 1,486 1,51 1,503 1,51 1,49 1,512 1,524 1,52 1,48 1,49

5. INTERVALOS APARENTES
1
2
3
4
5
6
7
8
9
10
LI
1,443
1,452
1,461
1,47
1,479
1,488
1,497
1,506
1,515
1,524
11
1,533
LS
1,451
1,46
1,469
1,478
1,487
1,496
1,505
1,514
1,523
1,532
1,541

6. Tabla de frecuencias
INTERVALOS REALES
LI
LS
1,4425
1,4515
1,4605
1,4695
1,4785
1,4875
1,4965
1,5055
1,5145
1,4515
1,4605
1,4695
1,4785
1,4875
1,4965
1,5055
1,5145
1,5235
1,5235
1,5325
FRECUENCIAS
MARCAS DE CLASE
XI
MEDIDAS DE TENDENCIA
(XI-X) 2FI
1,447
1,456
1,465
1,474
1,483
1,492
1,501
1,51
1,519
FI
4
3
13
18
37
57
51
51
37
FAI
5
8
21
39
76
133
184
235
272
0,01333
0,01
0,04333
0,06
0,12333
0,19
0,17
0,17
0,12333
0,016667
0,026667
0,07
0,13
0,253333
0,443333
0,613333
0,783333
0,906667
5,788
4,368
19,045
26,532
54,871
85,044
76,551
77,01
56,203
0,2094
0,13005
0,44655
0,4563
0,60495
0,41895
0,08415
0,54315
0,72705
0,010962
0,005638
0,015339
39,10817
0,009891
0,003079
0,000139
0,005785
0,014287
1,5325
1,528
20
292
0,06667
0,973333
30,56
0,573
0,016416
1,5415
1,537
9
301
0,03
1,003333
13,833
0,33885
0,012758
4,5324
39,20246
FR I
FRAI
F IXI
TOTALES= 449,805
|XI-X|F I

7. histograma
y
60
50
40
30
y
20
10
0
1,42
1,44
1,46
1,48
1,5
1,52
1,54
1,56

8. Cajas y bigotes
1800
1600
1400
1200
1000
800
600
400
200
0
CAJA Y BIGOTES