This document contains statistical data and analysis related to quality control. It includes 30 data points measuring some variable. It then calculates summary statistics like the mean, median, range and standard deviation on the data. Finally, it presents the data in histograms and box plots to visualize the distribution and identify any outliers.

1. ESTADÍSTICA EN LA CALIDAD
Javier Zuñiga Lira
2ºD

2. Concepto

3. Planteamiento

4. Datos
24
1
2
1,529 1,48
1,52
3
4
5
6
7
8
1,503 1,482 1,487 1,502 1,477 1,52
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
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
1,494 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
30
1,502
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
1,5
1,48
1,53
1,509 1,521 1,467 1,501 1,525 1,494 1,491 1,457 1,5
1,493 1,488 1,485 1,536 1,52
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
1,503 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
1,474 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
1,514 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
1,509 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
1,489 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
1,492 1,479 1,493 1,49
1,444
1,49 1,52 1,469
1,527 1,503 1,53
1,495
1,52 1,518
1,538
1,499 1,495 1,502 1,533 1,484 1,465 1,47 1,49 1,51
1,529
1,503 1,481 1,513 1,516 1,495 1,498 1,495 1,511 1,5
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
1,5
1,513 1,482 1,509 1,525 1,472 1,53
1,53 1,495
1,499
1,474 1,539 1,527 1,519 1,496 1,492 1,509 1,49 1,51 1,503
1,488
1,483 1,482 1,486 1,51
1,503 1,51
1,49
1,512 1,524 1,52
1,48 1,49
1,504

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
FRECUENCIAS
MARCAS DE CLASE
MEDIDAS DE TENDENCIA
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
1,447
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
1,5235
1,5325
1,528
20
292
0,06667
0,973333
30,56
0,573
0,016416
1,5325
1,5415
1,537
9
301
0,03
1,003333
13,833
0,33885
0,012758
4,5324
39,20246
XI
FR I
FRAI
F IXI
TOTALES= 449,805
|XI-X|F I
(XI-X) 2FI

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