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17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1 1.521 1.514 1.49 1.522 1.46 1.531 1.501 1.515 1.509 1.494 1.545 1.495 1.394 1.47 1.497 1.529 1.538 1.507 1.566 1.631
2 1.462 1.463 1.564 1.427 1.53 1.417 1.482 1.496 1.498 1.518 1.466 1.492 1.494 1.508 1.526 1.528 1.431 1.554 1.499 1.534
3 1.474 1.481 1.458 1.505 1.57 1.502 1.456 1.526 1.492 1.491 1.448 1.543 1.534 1.533 1.452 1.547 1.484 1.522 1.553 1.51
4 1.456 1.512 1.505 1.522 1.46 1.427 1.473 1.496 1.483 1.522 1.495 1.431 1.492 1.503 1.477 1.501 1.532 1.534 1.525 1.512
5 1.562 1.498 1.495 1.517 1.46 1.494 1.446 1.451 1.465 1.468 1.474 1.431 1.496 1.493 1.509 1.559 1.536 1.512 1.507 1.505
6 1.513 1.494 1.481 1.518 1.44 1.441 1.476 1.477 1.497 1.506 1.524 1.5 1.497 1.502 1.487 1.475 1.502 1.444 1.478 1.484
7 1.534 1.48 1.467 1.579 1.48 1.486 1.479 1.427 1.543 1.439 1.483 1.486 1.421 1.535 1.525 1.491 1.484 1.494 1.508 1.47
8 1.507 1.421 1.448 1.461 1.51 1.516 1.517 1.504 1.456 1.471 1.477 1.46 1.467 1.509 1.496 1.524 1.54 1.475 1.494 1.498
9 1.505 1.562 1.517 1.584 1.47 1.425 1.503 1.504 1.531 1.529 1.459 1.5 1.439 1.493 1.521 1.488 1.546 1.519 1.436 1.48
10 1.501 1.535 1.51 1.516 1.51 1.483 1.539 1.479 1.485 1.526 1.49 1.485 1.503 1.514 1.52 1.501 1.516 1.442 1.518 1.505
0
10
20
30
40
50
60
70
80
90
100
1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54
CIRCULAR
1 2 3 4 5 6 7 8 9 10
21 22 23 24 25 26 27 28 29 30
1.484 1.506 1.446 1.498 1.483 1.512 1.448 1.478 1.498 1.511
1.497 1.57 1.461 1.445 1.474 1.444 1.466 1.476 1.474 1.531
1.531 1.517 1.557 1.519 1.479 1.489 1.529 1.503 1.487 1.516
Minimo 1.394
1.487 1.462 1.433 1.554 1.489 1.497 1.5 1.489 1.465 1.523
Maximo 1.631
1.528 1.506 1.565 1.537 1.503 1.517 1.484 1.487 1.511 1.533
Rango 0.237
1.493 1.526 1.507 1.535 1.466 1.46 1.477 1.583 1.525 1.446
intercuartil 0.1185
1.444 1.493 1.425 1.496 1.503 1.547 1.447 1.494 1.47 1.513
1.472 1.519 1.403 1.529 1.513 1.454 1.493 1.529 1.501 1.534
numero de datos 300
1.47 1.462 1.489 1.547 1.493 1.48 1.478 1.498 1.506 1.498
calculo de intervalo 10
1.44 1.494 1.513 1.533 1.474 1.539 1.492 1.513 1.549 1.463
INTERVALO 0.0237
T. INTERVALO 0.0237
AJUSTE INTERVALO 0.003
T.I. FINAL 0.0267
PRIMER DATO 1.394
AJUSTE DEL INFERIOR 0
DATO INICIAL 1.394
1.4
1.4
1.474
1.474
1.474
1.48
1.48
1.48
1.501
1.501
1.501
1.5
1.5
0
20
40
60
80
100
1
2
3
4
5
6
7
8
9
10
RADIAL
1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54
0
0.2
0.4
0.6
0.8
1
1.2
0
50
100
150
200
250
300
350
1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54
No de intervaloLim inferior Lim superior Lim inferior Lim superior
1 1.394 1.39405 1.39395 1.3941
2 1.39405 1.42075 1.394 1.4208
3 1.3941 1.44745 1.39405 1.4475
4 1.39415 1.47415 1.3941 1.4742
5 1.3942 1.50085 1.39415 1.5009
6 1.39425 1.52755 1.3942 1.5276
7 1.3943 1.55425 1.39425 1.5543
8 1.39435 1.58095 1.3943 1.581
9 1.3944 1.60765 1.39435 1.6077
10 1.39445 1.63435 1.3944 1.6344
BIEN BIEN
BIEN BIEN
datos de media calsefrecuencias
x y
1.394025 0
1.394025 1
1.4074 1
1.4074 0
1.4074 2
1.420775 2
1.420775 0
1.420775 26
1.43415 26
1.43415 0
1.43415 44
1.447525 44
1.447525 0
1.447525 89
1.4609 89
1.4609 0
1.4609 41
1.474275 41
1.474275 0
1.474275 10
1.48765 10
1.48765 0
1.48765 2
1.501025 2
1.501025 0
1.501025 1
1.5144 1
1.5144 0
CLASES O CATEGORIAS INTERVALOS
indicadores
1.524003557
3 desv 1.506031939
2 desv 1.48806032
1 desv 1.470088702
x| 1.452117083
- 1 desv 1.434145465
- 2 desv 1.416173846
- 3 desv 1.398202228
1.380230609
1.362258991
MARCAS DE CLASE MEDIDAS DE TENDENCIA CENTRAL Y DISPERCION
Xi Fi Fai Fri Frai FiXi { Xi-X| }fi
1.394025 1 1 0.00333333 0.00333333 1.394025 0.058092083
1.4074 2 3 0.00666667 0.01 2.8148 0.089434167
1.420775 26 29 0.08666667 0.09666667 36.94015 0.814894167
1.43415 44 73 0.14666667 0.24333333 63.1026 0.790551667
1.447525 89 162 0.29666667 0.54 128.829725 0.408695417
1.4609 84 246 0.28 0.82 122.7156 0.737765
1.474275 41 287 0.13666667 0.95666667 60.445275 0.908474583
1.48765 10 297 0.03333333 0.99 14.8765 0.355329167
1.501025 2 299 0.00666667 0.99666667 3.00205 0.097815833
1.5144 1 300 0.00333333 1 1.5144 0.062282917
TOTALES 435.635125 4.323335
X©¦ 1.45211708
Desv.Media 0.014411117
Varianza
x y Desv. Estandar
MIN 1.394 10
MAX 1.631 10
linea 1.394 15
Q1 1.447525 10
Q3 1.474275 10
mediana 1.4609 10 x y
LI 1.447525 10 1.394 20
LS 1.447525 20 1.631 20
1.631 15
1.447525 20
1.474275 20
1.4609 20
1.474275 10
1.474275 20
FRECUENCIAS
0 1.52400356 70
0 1.50603194 70
0 1.48806032 70
0 1.4700887 70
0 1.45211708 70
0 1.43414546 70
0 1.41617385 70
0 1.39820223 70
0 1.38023061 70
0 1.36225899 70
CIA CENTRAL Y DISPERCION
{ Xi-X| }^2Fi
0.00337469
0.003999235
0.025540481
0.014203908
0.001876763
0.006479729
0.020129904
0.012625882
0.004783969
0.003879162
0.096893722
0.000322979
0.017971619
CALCULO DE CUARTILES
Q1= n
4
Q1= 300
4
Q1= 75
Q3= 3 ( 300 )
4
Q3= 900
4
Q3= 225
0
5
10
15
20
25
1.35 1.4 1.45 1.5 1.55 1.6 1.65

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Examen de la primera unidad

  • 1. 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 1.521 1.514 1.49 1.522 1.46 1.531 1.501 1.515 1.509 1.494 1.545 1.495 1.394 1.47 1.497 1.529 1.538 1.507 1.566 1.631 2 1.462 1.463 1.564 1.427 1.53 1.417 1.482 1.496 1.498 1.518 1.466 1.492 1.494 1.508 1.526 1.528 1.431 1.554 1.499 1.534 3 1.474 1.481 1.458 1.505 1.57 1.502 1.456 1.526 1.492 1.491 1.448 1.543 1.534 1.533 1.452 1.547 1.484 1.522 1.553 1.51 4 1.456 1.512 1.505 1.522 1.46 1.427 1.473 1.496 1.483 1.522 1.495 1.431 1.492 1.503 1.477 1.501 1.532 1.534 1.525 1.512 5 1.562 1.498 1.495 1.517 1.46 1.494 1.446 1.451 1.465 1.468 1.474 1.431 1.496 1.493 1.509 1.559 1.536 1.512 1.507 1.505 6 1.513 1.494 1.481 1.518 1.44 1.441 1.476 1.477 1.497 1.506 1.524 1.5 1.497 1.502 1.487 1.475 1.502 1.444 1.478 1.484 7 1.534 1.48 1.467 1.579 1.48 1.486 1.479 1.427 1.543 1.439 1.483 1.486 1.421 1.535 1.525 1.491 1.484 1.494 1.508 1.47 8 1.507 1.421 1.448 1.461 1.51 1.516 1.517 1.504 1.456 1.471 1.477 1.46 1.467 1.509 1.496 1.524 1.54 1.475 1.494 1.498 9 1.505 1.562 1.517 1.584 1.47 1.425 1.503 1.504 1.531 1.529 1.459 1.5 1.439 1.493 1.521 1.488 1.546 1.519 1.436 1.48 10 1.501 1.535 1.51 1.516 1.51 1.483 1.539 1.479 1.485 1.526 1.49 1.485 1.503 1.514 1.52 1.501 1.516 1.442 1.518 1.505 0 10 20 30 40 50 60 70 80 90 100 1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54
  • 2. CIRCULAR 1 2 3 4 5 6 7 8 9 10
  • 3. 21 22 23 24 25 26 27 28 29 30 1.484 1.506 1.446 1.498 1.483 1.512 1.448 1.478 1.498 1.511 1.497 1.57 1.461 1.445 1.474 1.444 1.466 1.476 1.474 1.531 1.531 1.517 1.557 1.519 1.479 1.489 1.529 1.503 1.487 1.516 Minimo 1.394 1.487 1.462 1.433 1.554 1.489 1.497 1.5 1.489 1.465 1.523 Maximo 1.631 1.528 1.506 1.565 1.537 1.503 1.517 1.484 1.487 1.511 1.533 Rango 0.237 1.493 1.526 1.507 1.535 1.466 1.46 1.477 1.583 1.525 1.446 intercuartil 0.1185 1.444 1.493 1.425 1.496 1.503 1.547 1.447 1.494 1.47 1.513 1.472 1.519 1.403 1.529 1.513 1.454 1.493 1.529 1.501 1.534 numero de datos 300 1.47 1.462 1.489 1.547 1.493 1.48 1.478 1.498 1.506 1.498 calculo de intervalo 10 1.44 1.494 1.513 1.533 1.474 1.539 1.492 1.513 1.549 1.463 INTERVALO 0.0237 T. INTERVALO 0.0237 AJUSTE INTERVALO 0.003 T.I. FINAL 0.0267 PRIMER DATO 1.394 AJUSTE DEL INFERIOR 0 DATO INICIAL 1.394 1.4 1.4 1.474 1.474 1.474 1.48 1.48 1.48 1.501 1.501 1.501 1.5 1.5 0 20 40 60 80 100 1 2 3 4 5 6 7 8 9 10 RADIAL
  • 4. 1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54 0 0.2 0.4 0.6 0.8 1 1.2 0 50 100 150 200 250 300 350 1.38 1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54
  • 5. No de intervaloLim inferior Lim superior Lim inferior Lim superior 1 1.394 1.39405 1.39395 1.3941 2 1.39405 1.42075 1.394 1.4208 3 1.3941 1.44745 1.39405 1.4475 4 1.39415 1.47415 1.3941 1.4742 5 1.3942 1.50085 1.39415 1.5009 6 1.39425 1.52755 1.3942 1.5276 7 1.3943 1.55425 1.39425 1.5543 8 1.39435 1.58095 1.3943 1.581 9 1.3944 1.60765 1.39435 1.6077 10 1.39445 1.63435 1.3944 1.6344 BIEN BIEN BIEN BIEN datos de media calsefrecuencias x y 1.394025 0 1.394025 1 1.4074 1 1.4074 0 1.4074 2 1.420775 2 1.420775 0 1.420775 26 1.43415 26 1.43415 0 1.43415 44 1.447525 44 1.447525 0 1.447525 89 1.4609 89 1.4609 0 1.4609 41 1.474275 41 1.474275 0 1.474275 10 1.48765 10 1.48765 0 1.48765 2 1.501025 2 1.501025 0 1.501025 1 1.5144 1 1.5144 0 CLASES O CATEGORIAS INTERVALOS
  • 6. indicadores 1.524003557 3 desv 1.506031939 2 desv 1.48806032 1 desv 1.470088702 x| 1.452117083 - 1 desv 1.434145465 - 2 desv 1.416173846 - 3 desv 1.398202228 1.380230609 1.362258991
  • 7. MARCAS DE CLASE MEDIDAS DE TENDENCIA CENTRAL Y DISPERCION Xi Fi Fai Fri Frai FiXi { Xi-X| }fi 1.394025 1 1 0.00333333 0.00333333 1.394025 0.058092083 1.4074 2 3 0.00666667 0.01 2.8148 0.089434167 1.420775 26 29 0.08666667 0.09666667 36.94015 0.814894167 1.43415 44 73 0.14666667 0.24333333 63.1026 0.790551667 1.447525 89 162 0.29666667 0.54 128.829725 0.408695417 1.4609 84 246 0.28 0.82 122.7156 0.737765 1.474275 41 287 0.13666667 0.95666667 60.445275 0.908474583 1.48765 10 297 0.03333333 0.99 14.8765 0.355329167 1.501025 2 299 0.00666667 0.99666667 3.00205 0.097815833 1.5144 1 300 0.00333333 1 1.5144 0.062282917 TOTALES 435.635125 4.323335 X©¦ 1.45211708 Desv.Media 0.014411117 Varianza x y Desv. Estandar MIN 1.394 10 MAX 1.631 10 linea 1.394 15 Q1 1.447525 10 Q3 1.474275 10 mediana 1.4609 10 x y LI 1.447525 10 1.394 20 LS 1.447525 20 1.631 20 1.631 15 1.447525 20 1.474275 20 1.4609 20 1.474275 10 1.474275 20 FRECUENCIAS
  • 8. 0 1.52400356 70 0 1.50603194 70 0 1.48806032 70 0 1.4700887 70 0 1.45211708 70 0 1.43414546 70 0 1.41617385 70 0 1.39820223 70 0 1.38023061 70 0 1.36225899 70
  • 9. CIA CENTRAL Y DISPERCION { Xi-X| }^2Fi 0.00337469 0.003999235 0.025540481 0.014203908 0.001876763 0.006479729 0.020129904 0.012625882 0.004783969 0.003879162 0.096893722 0.000322979 0.017971619 CALCULO DE CUARTILES Q1= n 4 Q1= 300 4 Q1= 75 Q3= 3 ( 300 ) 4 Q3= 900 4 Q3= 225
  • 10. 0 5 10 15 20 25 1.35 1.4 1.45 1.5 1.55 1.6 1.65