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tabla de frecuencias
- 1. 1,495 1,447 1,508 1,519 1,526 1,427 1,468 1,506 1,533 1,529 1,537 1,52 1,557 1,498 1,509 1,523 1,494 1,466 1,53 1,579 1,507 1,493 1,41 1,481 1,522 1,542 1,502 1,474 1,566 1,421 numero de datos 300
1,517 1,511 1,554 1,502 1,473 1,521 1,508 1,506 1,498 1,523 1,494 1,532 1,495 1,56 1,531 1,53 1,475 1,564 1,521 1,482 1,496 1,483 1,519 1,43 1,449 1,502 1,41 1,535 1,48 1,519
1,427 1,53 1,489 1,453 1,441 1,53 1,526 1,561 1,407 1,493 1,429 1,504 1,495 1,49 1,494 1,517 1,496 1,471 1,565 1,449 1,534 1,501 1,54 1,51 1,477 1,54 1,443 1,411 1,561 1,422
1,558 1,432 1,467 1,492 1,573 1,27 1,544 1,538 1,485 1,531 1,467 1,551 1,41 1,48 1,481 1,495 1,441 1,496 1,454 1,454 1,534 1,507 1,534 1,538 1,556 1,497 1,48 1,499 1,513 1,582
1,412 1,432 1,527 1,512 1,507 1,497 1,468 1,516 1,445 1,498 1,474 1,507 1,523 1,505 1,488 1,515 1,52 1,417 1,492 1,495 1,47 1,468 1,516 1,511 1,508 1,503 1,554 1,507 1,524 1,501
1,472 1,476 1,52 1,447 1,482 1,481 1,524 1,458 1,577 1,525 1,56 1,467 1,531 1,504 1,507 1,528 1,569 1,493 1,496 1,449 1,548 1,543 1,577 1,48 1,534 1,573 1,587 1,476 1,51 1,449
1,49 1,482 1,481 1,428 1,46 1,502 1,515 1,517 1,522 1,47 1,516 1,545 1,506 1,563 1,542 1,445 1,539 1,531 1,59 1,479 1,512 1,447 1,537 1,478 1,545 1,474 1,57 1,475 1,498 1,461
1,499 1,457 1,5 1,472 1,513 1,478 1,503 1,535 1,523 1,556 1,494 1,494 1,522 1,553 1,548 1,516 1,439 1,586 1,474 1,47 1,479 1,474 1,507 1,49 1,519 1,528 1,559 1,514 1,461 1,546
1,507 1,49 1,532 1,548 1,486 1,531 1,51 1,521 1,466 1,472 1,451 1,482 1,54 1,59 1,509 1,495 1,568 1,459 1,534 1,48 1,487 1,411 1,516 1,476 1,521 1,456 1,521 1,478 1,512 1,464
1,504 1,565 1,514 1,464 1,488 1,47 1,463 1,532 1,507 1,465 1,525 1,493 1,535 1,454 1,533 1,446 1,513 1,53 1,551 1,515 1,456 1,488 1,502 1,492 1,455 1,48 1,517 1,451 1,471 1,458
frecuencias absolutas frecuencias acumuladas
100 350
90 300
80 dato inicial l.i.
250
70 ajuste dato inicial
60 200 dato inicial l.i.
50 frecuencias acumuladas
frecuencias absolutas 150
40
30 100
20 50
10
0 0
1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11
frecuencias relativas acumuladas
1,200000 frecuencia relativa
1,000000 1
2
0,800000
3
0,600000 frecuencias relativas 4
acumuladas
0,400000 5
6
0,200000
7 3
0,000000
8 2
1 2 3 4 5 6 7 8 9 10 11 1
9
media
1
2
3
- 2. maximo 1,590 datos aparentes datos reales marcas de clase fi fai fr frai media desv media varianza
minimo 1,27 1,27 1,299 1,2695 1,2995 1,2845 1 1 0,003333 0,003333 1,2845 0,2152 0,04631104
1,300 1,329 1,2995 1,3295 1,3145 0 1 0,000000 0,003333 0 0 0
rango 0,320 1,330 1,359 1,3295 1,3595 1,3445 0 1 0,000000 0,003333 0 0 0
1,360 1,389 1,3595 1,3895 1,3745 0 1 0,000000 0,003333 0 0 0
intervalo 17 0,001 1,390 1,419 0,0005 1,3895 1,4195 1,4045 8 9 0,026667 0,030000 11,236 11,236 0,07250432
ajuste de intervalo -6 1,420 1,449 1,4195 1,4495 1,4345 23 32 0,076667 0,106667 32,9935 32,9935 0,09777392
numero f. de intervalo 11 1,450 1,479 1,4495 1,4795 1,4645 54 86 0,180000 0,286667 79,083 79,083 0,06690816
1,480 1,509 1,4795 1,5095 1,4945 87 173 0,290000 0,576667 130,0215 130,0215 0,00235248
1,510 1,539 1,5095 1,5395 1,5245 82 255 0,273333 0,850000 125,009 #¡VALOR! 0,05043328
tamaño del intervalo 0,029 1,540 1,569 1,5395 1,5695 1,5545 34 289 0,113333 0,963333 52,853 6,953 0,10210336
ajuste del tamaño 0,001 1,570 1,599 1,5695 1,5995 1,5845 11 300 0,036667 1 17,4295 807,5705 0,07910144
tamaño f. de intervalo 0,03 449,91 #¡VALOR! 0,517488
bien bien
bien bien
dato inicial l.i. 1,27 MEDIA A 1,4997
ajuste dato inicial 0 DESV MEDIA #¡VALOR!
dato inicial l.i. 1,27 VARIANZA 0,00172496
DESV E. 0,041533
x y
1,2845 0
1,2845 1 tv lsl usl
1,3145 1 1,5 1,35 1,65
1,3145 0 0 75
1,3145 0
1,3445 0
1,3445 0
1,3445 0
1,3745 0
1,3745 0
1,3745 0
1,4045 0
1,4045 0
1,4045 8
1,4345 8
1,4345 0
3 1,6243 13 0 1,6243 1,4345 23
2 1,5828 13 0 1,5828 1,4645 23
1 1,5412 13 0 1,5412 1,4645 0
media 1,4997 13 0 1,4997 1,4645 54
1 1,4582 13 0 1,4582 1,4945 54
2 1,4166 13 0 1,4166 1,4945 0
3 1,3751 13 0 1,3751 1,4945 87
1,5245 87
1,5245 0
1,5245 82
0 0,5
1,55451 82 1,5 2 2,5
1,5545 0
1,5545 34
1,5845 34
1,5845 0
- 3. Me= li + A ( N - FI-1 )
2 Q1= N
FI 4
Me= 1,3895 + 0,0300 ( 300 - 1 )
2 Q1= 300
8 4
Me= 1,3895 + 0,0300 ( 150 - 1 ) Q1= 75 = 1,3745
8
Me= 1,3895 + 0,0300 ( 149 ) Q3= 3 ( N )
8 4
Q3= 3 ( 300 )
Me= 1,3895 + 0,0300 ( 18,6250 ) 4
Q3= 3 ( 75 )
Me= 1,3895 + 0,55875
Q3= 225 = 1,4645
Me= 1,9483
1,27 10 1,27 20
1,590 10 1,59 20
1,9483 5 1,948 25
1,3745 10 1,3745 20
1,4645 10 1,3745 20
1,27 15 1,59 15
1,3745 10 1,4645 10
1,3745 20 1,4645 20