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ejercicio 8 pernos
1.
Ejercicio 8 Estadística
2.
1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1.402 1.504 1.502 1.496 1.482 1.522 1.495 1.478 1.506 1.489 1.441 1.477 1.516 1.466 1.582 1.500 1.450 1.592 1.530 1.587 1.517 1.519 1.522 1.500 1.526 1.450 1.509 1.508 1.501 1.483 1.484 1.471 1.470 1.464 1.490 1.494 1.465 1.493 1.484 1.505 1.484 1.534 1.476 1.479 1.510 1.516 1.467 1.478 1.493 1.525 1.508 1.488 1.476 1.490 1.526 1.492 1.460 1.483 1.515 1.492 1.479 1.479 1.475 1.483 1.495 1.547 1.555 1.491 1.514 1.493 1.500 1.523 1.466 1.492 1.499 1.502 1.490 1.474 1.456 1.431 1.450 1.518 1.452 1.519 1.553 1.511 1.497 1.516 1.519 1.514 1.507 1.534 1.514 1.525 1.539 1.489 1.448 1.502 1.570 1.522 1.467 1.509 1.473 1.508 1.532 1.470 1.519 1.516 1.488 1.496 1.448 1.540 1.473 1.526 1.592 1.472 1.543 1.528 1.516 1.498 1.392 1.514 1.458 1.455 1.484 1.468 1.489 1.450 1.501 1.485 1.480 1.478 1.467 1.532 1.487 1.512 1.478 1.542 1.469 1.475 1.540 1.486 1.479 1.522 1.406 1.488 1.513 1.598 1.447 1.504 1.505 1.507 1.514 1.506 1.489 1.493 1.471 1.482 1.490 1.503 1.547 1.548 1.481 1.514 1.509 1.544 1.486 1.444 1.514 1.464 1.466 1.514 1.434 1.468 1.498 1.461 1.510 1.528 1.521 1.516 1.487 1.491 1.499 1.505 1.519 1.542 1.486 1.496 1.485 1.505 1.448 1.463 1.496 1.471 1.530 1.510 1.514 1.516 1.543 1.548 1.478 1.522 1.508 1.523 1.509 1.515 1.577 1.509 1.506 1.505 1.521 1.494 1.500 1.497 1.510 1.484 1.507 1.451 1.501 1.511 1.538 1.468 1.506 1.408 1.418 1.508 1.532 1.482 1.518 1.495 1.520 1.463 1.562 1.488 1.538 1.485 1.497 1.489 1.504 1.452 1.437 1.511 1.515 1.493 1.447 1.571 1.516 1.481 1.515 1.488 1.446 1.510 1.527 1.457 1.518 1.551 1.553 1.475 1.537 1.482 1.489 1.523 1.467 1.533 1.526 1.471 1.496 1.535 1.474 1.498 1.506 1.530 1.485 1.468 1.562 1.488 1.467 1.446 1.484 1.487 1.459 1.501 1.546 1.447 1.453 1.496 1.478 1.489 1.550 1.483 1.561 1.469 1.496 1.503 1.495 1.509 1.530 1.553 1.544 1.518
3.
max
1.598 intervalos aparentes intervalos reales min 1.392 lim inf lim sup lim inf lim sup xi fi fa fri frai fi*xi xi-ma*fi (xi-xtes)^2*fi rango= 0.206 0.0133 0.0133 0.383946 0.0368 1.392 1.414 1.3915 1.4145 1.403 4 4 33 33 5.612 667 54 0.0133 0.0266 0.291946 0.0213 1.415 1.437 1.4145 1.4375 1.426 4 8 33 66 5.704 667 08 tam 0.0228 0.1066 0.0599 inter= 89 1.438 1.46 1.4375 1.4605 1.449 24 32 0.08 66 34.776 1.19968 68 0.1933 1.565226 0.0422 1.461 1.483 1.4605 1.4835 1.472 58 90 33 0.3 85.376 667 4 0.023 0.0014 1.484 1.506 1.4835 1.5065 1.495 90 180 0.3 0.6 134.55 0.3588 3 0.0271 1.507 1.529 1.5065 1.5295 1.518 75 255 0.25 0.85 113.85 1.426 13 0.0529 1.53 1.552 1.5295 1.5525 1.541 30 285 0.1 0.95 46.23 1.2604 54 0.0380 1.553 1.575 1.5525 1.5755 1.564 9 294 0.03 0.98 14.076 0.58512 41 0.0464 1.576 1.598 1.5755 1.5985 1.587 6 300 0.02 1 9.522 0.52808 78 449.69 0.3263 300 6 7.5992 86 media 1.4989 aritmetica= 87 desv 0.025330 media= 667 0.00108 varianza= 795 0.03298 desv estandar= 413
4.
x
y 1.3915 0 1.3915 4 120 1.4145 4 HISTOGRAMA 1.4145 0 100 media 1.4145 4 1.4375 4 x+s 1.4375 0 80 x+2s 1.4375 24 x+3s 1.4605 24 60 1.4605 0 x-s 1.4605 58 40 x-2s 1.4835 58 1.4835 0 x+3s 1.4835 90 20 tv 1.5065 90 1.5065 0 usl 0 1.5065 75 lsl 1.5295 75 1.3 1.4 1.5 1.6 1.7 1.5295 0 1.5295 30 1.5525 30 1.5525 0 1.5525 9 1.5755 9 1.5755 0 1.5755 6 1.5985 6 1.5985 0
5.
x
tv x-s 1.498987 0 1.5 0 1.498987 100 1.466003 0 1.5 110 x+s 1.466003 100 1.531971 0 1.531971 100 x-2s usl x+2s 1.433019 0 1.35 0 1.564955 0 1.433019 100 1.35 110 1.564955 100 x-3s lsl x+3s 1.597939 0 1.4000346 0 1.65 0 1.597939 100 1.4000346 100 1.65 110
6.
120
x+3s HISTOGRAMA 100 media x+s 80 x+2s 60 x+3s x-s 40 x-2s 20 x+3s tv 0 usl 1.3 1.4 1.5 1.6 1.7 tv x-2s x+3s 1.4 0 1.43301873 0 1.4 110 1.5979394 0 1.43301873 100 1.5979394 100 x-s 1.46600287 0 x-3s usl 1.4000346 0 1.55 0 1.46600287 100 1.55 110 1.4000346 100 lsl 1.55 0 1.55 110
7.
120
HISTOGRAMA 100 media x+s 80 x+2s 60 x+3s x-s 40 x-2s 20 x+3s tv 0 usl 1.3 1.4 1.5 1.6 1.7 tv 1.45 0 1.45 110 usl 1.3 0 1.3 110 lsl 1.6 0 1.6 110
8.
120
x HISTOGRAMA 100 1.498987 0 media 1.498987 100 x+s 80 x+s x+2s 60 1.53197113 0 x+3s 1.53197113 100 x-s 40 x+2s x-2s 20 x+3s 1.56495527 0 tv 1.56495527 100 0 usl 1.3 1.4 1.5 1.6 1.7 x+3s 1.5979394 0 tv 1.5979394 100 1.55 0 x-s 1.55 110 1.46600287 0 1.46600287 100 usl x-2s 1.4 0 1.4 110 1.43301873 0 1.43301873 100 lsl 1.7 0 x-3s 1.7 110 1.4000346 0 1.4000346 100
9.
120
x 100 HISTOGRAMA 1.498987 0 media 1.498987 100 x+s 80 x+s 1.53197113 0 x+2s 1.53197113 100 60 x+3s x+2s x-s 1.56495527 0 40 x-2s 1.56495527 100 x+3s 20 tv x+3s usl 1.5979394 0 0 lsl 1.5979394 100 x-s 1.3 1.4 1.5 1.6 1.7 1.46600287 0 1.46600287 100 tv 1.6 0 lsl x-2s 1.6 110 1.43301873 0 1.45 0 1.43301873 100 1.45 110 x-3s usl 1.4000346 0 1.4000346 100 1.75 0 1.75 110
10.
120
x 1.498987 0 100 HISTOGRAMA 1.498987 100 media x+s 80 x+s 1.53197113 0 x+2s 1.53197113 100 x+3s 60 x+2s x-s 1.56495527 0 x-2s 1.56495527 100 40 x+3s tv x+3s 20 usl 1.5979394 0 lsl 1.5979394 100 0 tv x-s 1.46600287 0 1.3 1.4 1.5 1.6 1.7 1.4 0 1.4 110 1.46600287 100 usl x-2s 1.6 0 1.43301873 0 1.43301873 100 1.6 110 x-3s lsl 1.4000346 0 1.2 0 1.4000346 100 1.2 110
11.
120
x 1.498987 0 HISTOGRAMA 100 1.498987 100 media x+s x+s 80 1.53197113 0 x+2s 1.53197113 100 x+3s 60 x+2s x-s 1.56495527 0 x-2s 40 1.56495527 100 x+3s tv 20 x+3s usl 1.5979394 0 lsl 0 1.5979394 100 tv 1.3 1.4 1.5 1.6 1.7 x-s 1.45 0 1.46600287 0 1.45 110 1.46600287 100 usl x-2s 1.25 0 1.43301873 0 1.25 110 1.43301873 100 lsl x-3s 1.65 0 1.4000346 0 1.65 110 1.4000346 100
12.
120
x 1.498987 0 100 HISTOGRAMA 1.498987 100 media x+s 80 x+s 1.531971 0 x+2s 1.531971 100 x+2s x+3s 60 1.564955 0 x-s 1.564955 100 x-2s 40 x+3s x+3s tv 1.597939 0 20 usl 1.597939 100 x-s lsl 1.466003 0 0 tv 1.466003 100 1.3 1.4 1.5 1.6 1.7 1.5 0 1.5 110 x-2s 1.433019 0 usl 1.433019 100 1.3 0 1.3 110 x-3s 1.4000346 0 1.4000346 100 lsl 1.7 0 1.7 110
13.
120
x 1.498987 0 100 HISTOGRAMA 1.498987 100 media x+s x+s 80 1.53197113 0 x+2s 1.53197113 100 x+3s x+2s 60 x-s 1.56495527 0 1.56495527 100 x-2s 40 x+3s x+3s tv 1.5979394 0 20 usl 1.5979394 100 lsl x-s 0 tv 1.46600287 0 1.46600287 100 1.3 1.4 1.5 1.6 1.7 1.55 0 1.55 110 x-2s 1.43301873 0 1.43301873 100 usl 1.35 0 x-3s 1.35 110 1.4000346 0 1.4000346 100 lsl 1.75 0 1.75 110
14.
120
x 100 HISTOGRAMA 1.498987 0 media 1.498987 100 x+s x+s 80 1.53197113 0 x+2s 1.53197113 100 x+3s 60 x+2s x-s 1.56495527 0 x-2s 40 1.56495527 100 x+3s tv x+3s 20 usl 1.5979394 0 lsl 1.5979394 100 0 tv x-s 1.3 1.4 1.5 1.6 1.7 1.46600287 0 1.6 0 1.46600287 100 1.6 110 usl x-2s 1.4 0 1.43301873 0 1.43301873 100 1.4 110 x-3s lsl 1.4000346 0 1.8 0 1.4000346 100 1.8 110
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