ejercicio 8 presentacion
DESCRIPTION
Esta es una presentación sobre el ejercicio 8.TRANSCRIPT
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EJERCICIO 8.PERNOS(DATOS AGRUPADOS)
UNIVERSIDAD TECNOLÓGICA DE TORREÓN
KASSANDRA MARGARITA GÓMEZ RODRÍGUEZ.
ESTADÍSTICA
PROCESOS I. 2* C
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EJERCICIO 8 DE MI # DE LISTA ( 6 )
6 1 2 3 4 5 6 7 8 9 10
1 1.464 1.528 1.454 1.468 1.463 1.525 1.562 1.524 1.461 1.479
2 1.507 1.514 1.507 1.529 1.525 1.546 1.543 1.485 1.485 1.498
3 1.582 1.484 1.445 1.466 1.519 1.497 1.503 1.513 1.489 1.536
4 1.588 1.522 1.500 1.531 1.497 1.536 1.545 1.487 1.423 1.477
5 1.455 1.500 1.466 1.571 1.513 1.464 1.532 1.447 1.487 1.491
6 1.447 1.459 1.452 1.444 1.476 1.492 1.471 1.451 1.517 1.504
7 1.439 1.488 1.468 1.501 1.494 1.492 1.468 1.440 1.491 1.457
8 1.479 1.540 1.465 1.509 1.494 1.518 1.495 1.487 1.453 1.480
9 1.506 1.525 1.505 1.483 1.481 1.444 1.520 1.532 1.477 1.518
10 1.514 1.494 1.490 1.553 1.505 1.537 1.467 1.518 1.499 1.466
11 1.482 1.536 1.491 1.499 1.488 1.531 1.494 1.517 1.513 1.480
12 1.519 1.458 1.512 1.482 1.531 1.494 1.497 1.505 1.459 1.469
13 1.465 1.475 1.516 1.480 1.456 1.498 1.515 1.536 1.528 1.522
14 1.479 1.487 1.513 1.525 1.456 1.509 1.529 1.478 1.483 1.489
15 1.508 1.483 1.505 1.507 1.522 1.509 1.492 1.525 1.493 1.542
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11 12 13 14 15 16 17 18 19 201.480 1.483 1.486 1.503 1.510 1.494 1.503 1.499 1.574 1.502
1.490 1.512 1.449 1.539 1.500 1.484 1.497 1.527 1.534 1.481
1.503 1.400 1.549 1.500 1.479 1.493 1.502 1.497 1.590 1.515
1.444 1.483 1.544 1.477 1.516 1.443 1.502 1.483 1.495 1.511
1.502 1.501 1.492 1.515 1.506 1.536 1.521 1.472 1.528 1.513
1.510 1.502 1.578 1.481 1.558 1.514 1.496 1.466 1.552 1.491
1.514 1.484 1.499 1.510 1.506 1.505 1.552 1.516 1.546 1.527
1.482 1.481 1.489 1.526 1.523 1.498 1.532 1.526 1.472 1.495
1.512 1.485 1.474 1.484 1.447 1.491 1.502 1.503 1.472 1.431
1.544 1.509 1.461 1.455 1.484 1.512 1.500 1.455 1.511 1.486
1.450 1.462 1.530 1.494 1.514 1.481 1.562 1.534 1.552 1.494
1.449 1.466 1.520 1.518 1.535 1.464 1.436 1.463 1.490 1.517
1.467 1.448 1.479 1.581 1.488 1.462 1.455 1.449 1.480 1.567
1.550 1.527 1.541 1.488 1.546 1.493 1.494 1.467 1.500 1.528
1.519 1.470 1.511 1.480 1.463 1.485 1.517 1.440 1.548 1.535
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MAXIMO 1.590
MINIMO 1.400
RANGO 0.190
MEDIANA 1.498
MODA 1.494
TAMAÑO DEL INTERVALO 0.022
# INTERVALOS 9
Datos importantes para la realización de
las tablas y gráficas.
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INTERVALOS APARENTES
INTERVALOS APARENTESLIM. INF LIM.SUP.
1.398 1.4191.420 1.441
1.442 1.463
1.464 1.4851.486 1.507
1.508 1.529
1.530 1.551
1.552 1.573
1.574 1.595
1.400 – 0.002
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INTERVALOS REALES
INTERVALOS REALES
LIM. INF LIM.SUP.1.3975 1.4195
1.4195 1.4415
1.4415 1.4635
1.4635 1.48551.4855 1.5075
1.5075 1.5295
1.5295 1.55151.5515 1.5735
1.5735 1.5955
1.420 – 1.419
= 0.001/2
=0.0005
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INTERVALOS REALES
MARCA DE CLASE
FRECUENCIAS
MEDIDAS DE TENDENCIA CENTRAL Y D.
LIM. INF
LIM.SUP. Xi
FREC. ABS. Fai Fri Frai FiXi (Xi-ẋ)Fi (Xi-ẋ)²Fi
1.3975 1.4195 1.4085 1 1 0.003 0.003 1.4085 0.090 0.00808
1.4195 1.4415 1.4305 6 7 0.020 0.023 8.583 0.407 0.0277
1.4415 1.4635 1.4525 34 41 0.113 0.137 49.385 1.561 0.07163
1.4635 1.4855 1.4745 63 104 0.210 0.347 92.8935 1.506 0.0360
1.4855 1.5075 1.4965 84 188 0.280 0.627 125.706 0.160 0.0003
1.5075 1.5295 1.5185 66 254 0.220 0.847 100.221 1.327 0.0267
1.5295 1.5515 1.5405 31 285 0.103 0.950 47.7555 1.305 0.0549
1.5515 1.5735 1.5625 9 294 0.030 0.980 14.0625 0.577 0.0370
1.5735 1.5955 1.5845 6 300 0.020 1.000 9.507 0.517 0.0445
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INTERVALOS REALES
MARCA DE CLASE FRECUENCIAS
MEDIDAS DE TENDENCIA CENTRAL Y D.
LIM. INF LIM.SUP. Xi
FREC. ABS. Fai Fri Frai FiXi (Xi-ẋ)Fi (Xi-ẋ)²Fi
1.3975 1.4195 1.4085 1 1 0.003 0.003 1.4085 0.090 0.00808
1.4195 1.4415 1.4305 6 7 0.020 0.023 8.583 0.407 0.0277
1.4415 1.4635 1.4525 34 41 0.113 0.137 49.385 1.561 0.07163
1.4635 1.4855 1.4745 63 104 0.210 0.347 92.8935 1.506 0.0360
1.4855 1.5075 1.4965 84 188 0.280 0.627 125.706 0.160 0.0003
1.5075 1.5295 1.5185 66 254 0.220 0.847 100.221 1.327 0.0267
1.5295 1.5515 1.5405 31 285 0.103 0.950 47.7555 1.305 0.0549
1.5515 1.5735 1.5625 9 294 0.030 0.980 14.0625 0.577 0.0370
1.5735 1.5955 1.5845 6 300 0.020 1.000 9.507 0.517 0.0445
TOTALES 449.5220 7.44840 0.30673
ẋ 1.4984
DESVIACION MEDIA 0.025
VARIANZA 0.00102
DESV.EST. 0.0320
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GRAFICO DE BARRAS
1.4195 1.4415 1.4635 1.4855 1.5075 1.5295 1.5515 1.5735 1.59550
10
20
30
40
50
60
70
80
90
valor absoluto
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GRAFICA DE PASTEL
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OJIVA
1.4000 1.4500 1.5000 1.5500 1.6000 1.65000.000
0.200
0.400
0.600
0.800
1.000
1.200
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HISTOGRAMA
1.3500 1.4000 1.4500 1.5000 1.5500 1.6000 1.65000
10
20
30
40
50
60
70
80
90
media
MEDIA, 1.4984
PARA CREAR EL HISTOGRAMA
USAMOS LA MEDIA Y LA DESVIACION
ESTANDAR
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Series1
GRÁFICO DE CAJA Y BIGOTE