12

1 1,629 1,496 1,576 1,612 1,638 1,622 1,587 1,559 1,587 1,588 1,62 1,611 1,566 1,581

2 1,576 1,671 1,63 1,631 1,641 1,545 1,558 1,615 1,605 1,558 1,602 1,572 1,569 1,617

3 1,606 1,512 1,582 1,584 1,674 1,585 1,654 1,622 1,595 1,637 1,575 1,58 1,617 1,592

4 1,585 1,599 1,581 1,646 1,671 1,571 1,612 1,498 1,604 1,603 1,658 1,602 1,598 1,592

5 1,605 1,539 1,57 1,558 1,558 1,572 1,577 1,617 1,543 1,611 1,612 1,618 1,568 1,568

6 1,655 1,557 1,606 1,644 1,554 1,568 1,648 1,608 1,559 1,602 1,628 1,612 1,553 1,572

7 1,58 1,632 1,553 1,572 1,584 1,587 1,566 1,574 1,631 1,525 1,669 1,604 1,603 1,606

8 1,731 1,604 1,587 1,499 1,683 1,597 1,624 1,598 1,578 1,621 1,63 1,649 1,666 1,595

9 1,639 1,585 1,593 1,645 1,609 1,663 1,65 1,59 1,59 1,604 1,59 1,629 1,562 1,635

10 1,599 1,663 1,619 1,65 1,58 1,643 1,51 1,573 1,6 1,52 1,58 1,708 1,624 1,651

1

2

3

4

5

6

7

8

9

10

11

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

1,662 1,679 1,586 1,525 1,63 1,597 1,537 1,622 1,639 1,551 1,61 1,601 1,528 1,544 1,622 1,613

1,636 1,619 1,602 1,641 1,59 1,624 1,699 1,59 1,651 1,587 1,637 1,636 1,567 1,629 1,548 1,594

1,645 1,639 1,578 1,534 1,581 1,58 1,621 1,569 1,583 1,615 1,605 1,636 1,568 1,62 1,656 1,56

1,64 1,557 1,652 1,644 1,619 1,607 1,645 1,713 1,591 1,587 1,629 1,578 1,587 1,624 1,619 1,598

1,675 1,566 1,724 1,568 1,614 1,53 1,615 1,629 1,611 1,581 1,547 1,649 1,514 1,593 1,591 1,595

1,586 1,534 1,6 1,631 1,576 1,593 1,68 1,599 1,574 1,599 1,669 1,59 1,5 1,527 1,648 1,629

1,51 1,583 1,62 1,547 1,543 1,519 1,58 1,58 1,668 1,633 1,555 1,616 1,594 1,659 1,695 1,591

1,608 1,612 1,629 1,599 1,68 1,565 1,548 1,599 1,584 1,588 1,578 1,614 1,646 1,583 1,523 1,629

1,614 1,523 1,656 1,64 1,616 1,565 1,605 1,578 1,528 1,601 1,658 1,681 1,573 1,641 1,634 1,57

1,523 1,596 1,615 1,553 1,587 1,641 1,531 1,665 1,637 1,576 1,6 1,51 1,533 1,623 1,543 1,611

1

2

3

4

5

6

7

8

9

10

11

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

MIN 1,496 1,496 1,517

MAX 1,731 1,518 1,540

RANGO 0,235 1,541 1,562

NI 11 1,563 1,584

TI 0,022 1,585 1,607

DIFERENCIA 0,010 1,608 1,629

DIF REP 0,005 1,630 1,652

1,653 1,674

1,675 1,696

1,697 1,719

1,720 1,741

marca de clase

lim. Inferior lim. Superior xi fi fai

1 1,491 1,512 1,502 8 8

2 1,513 1,535 1,524 16 24

3 1,536 1,557 1,546 19 43

4 1,558 1,579 1,569 43 86

5 1,580 1,602 1,591 69 155

6 1,603 1,624 1,614 63 218

7 1,625 1,647 1,636 43 261

8 1,648 1,669 1,658 22 283

9 1,670 1,691 1,681 11 294

10 1,692 1,714 1,703 4 298

11 1,715 1,736 1,725 2 300

clases o categorias intervalos frecuencia

fri frai fixi |xi-x|fi (xi-x)2fi datos de la ojiva

0,027 0,027 12,013 0,7932 0,0786 x

0,053 0,080 24,385 1,2285 0,0943 1502

0,063 0,143 29,382 1,0339 0,0563 1524

0,143 0,287 67,457 1,3783 0,0442 1546

0,230 0,517 109,788 0,6687 0,0065 1569

0,210 0,727 101,651 0,7984 0,0101 1591

0,143 0,870 70,342 1,5066 0,0528 1614

0,073 0,943 36,481 1,2628 0,0725 1636

0,037 0,980 18,487 0,8774 0,0700 1658

0,013 0,993 6,812 0,4085 0,0417 1681

0,007 1,000 3,451 0,2490 0,0310 1703

totales 480,248 10,2053 0,5580 1725

x 1,60083

0,034018

0,00186

0,04313desviacion estandar

frecuencia medidas de tendencia central y dispercion

desviacion media=

varianza

8%9%

9%

9%

9%9%9%

9%

9%

10%10%

grafico circular

1

2

3

4

5

6

9%9%9%

9%6

7

8

datos de la ojiva

y

8

24

43

86

155

218

261

183

264

298

300

o

0

50

100

150

200

250

300

350

1450 1500 1550 1600 1650 1700

grafico de ojiva

1

2

3

4

5

6

6

7

8

x y

#¡REF! 0

#¡REF! #¡REF!

x-3s

1750

0