1. 1,660 1,495 1,661 1,674 1,625 1,562 1,615 1,586 1,575 1,624 1,584 1,581 1,601 1,579 1,638 1,642 1,599 1,617 1,574 1,562 1,613 1,612 1,532 1,491 1,588 1,586 1,586 1,656 1,608 1,535 numero de datos 300
1,559 1,517 1,639 1,632 1,606 1,624 1,537 1,568 1,599 1,584 1,563 1,606 1,581 1,6 1,579 1,62 1,551 1,598 1,609 1,617 1,582 1,587 1,635 1,648 1,524 1,532 1,538 1,555 1,598 1,587
1,628 1,551 1,644 1,568 1,572 1,642 1,563 1,592 1,611 1,637 1,571 1,536 1,539 1,562 1,62 1,573 1,657 1,565 1,6 1,586 1,631 1,579 1,624 1,568 1,61 1,639 1,661 1,565 1,592 1,651
1,561 1,6 1,622 1,583 1,603 1,606 1,631 1,578 1,607 1,636 1,588 1,594 1,569 1,61 1,567 1,593 1,61 1,669 1,631 1,555 1,581 1,583 1,565 1,589 1,602 1,694 1,65 1,582 1,648 1,58
1,582 1,608 1,629 1,614 1,583 1,611 1,625 1,56 1,575 1,633 1,605 1,536 1,588 1,602 1,602 1,685 1,58 1,641 1,542 1,617 1,682 1,574 1,6 1,606 1,575 1,646 1,527 1,593 1,615 1,59
1,549 1,603 1,595 1,638 1,572 1,636 1,566 1,644 1,648 1,583 1,577 1,577 1,577 1,602 1,615 1,607 1,588 1,572 1,639 1,623 1,647 1,625 1,629 1,694 1,588 1,585 1,599 1,552 1,533 1,572
1,666 1,65 1,631 1,639 1,61 1,676 1,58 1,596 1,559 1,567 1,568 1,605 1,605 1,591 1,584 1,571 1,561 1,592 1,632 1,559 1,614 1,557 1,582 1,595 1,562 1,657 1,546 1,636 1,577 1,65
1,589 1,609 1,587 1,598 1,542 1,561 1,558 1,594 1,646 1,634 1,591 1,6 1,604 1,641 1,661 1,581 1,634 1,574 1,614 1,634 1,615 1,59 1,582 1,688 1,575 1,662 1,623 1,596 1,574 1,701
1,622 1,618 1,562 1,599 1,643 1,605 1,653 1,623 1,554 1,654 1,64 1,577 1,583 1,629 1,596 1,63 1,574 1,625 1,609 1,551 1,623 1,597 1,529 1,601 1,577 1,561 1,645 1,549 1,637 1,56
1,638 1,602 1,593 1,581 1,671 1,594 1,572 1,524 1,609 1,583 1,61 1,699 1,651 1,587 1,64 1,613 1,628 1,579 1,581 1,581 1,631 1,576 1,652 1,601 1,635 1,595 1,65 1,556 1,557 1,634
frecuencias absolutas frecuencias acumuladas
80 350
70 300
60
dato inicial l.i.
250
ajuste dato inicial
50 200 dato inicial l.i.
40 frecuencias acumuladas
frecuencias absolutas 150
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 1,701 datos aparentes datos reales marcas de clase fi fai fr frai media desv media varianza
minimo 1,491 1,491 1,510 1,4905 1,5105 1,5005 2 2 0,006667 0,006667 3,001 0,199866667 0,019973342
1,511 1,530 1,5105 1,5305 1,5205 5 7 0,016667 0,023333 7,6025 7,6025 0,031946689
rango 0,210 1,531 1,550 1,5305 1,5505 1,5405 14 21 0,046667 0,070000 21,567 21,567 0,050288062
1,551 1,570 1,5505 1,5705 1,5605 38 59 0,126667 0,196667 59,299 59,299 0,060597502
intervalo 17 0,001 1,571 1,590 0,0005 1,5705 1,5905 1,5805 71 130 0,236667 0,433333 112,2155 112,2155 0,028210982
ajuste de intervalo -6 1,591 1,610 1,5905 1,6105 1,6005 62 192 0,206667 0,640000 99,231 99,231 2,75556E-07
numero f. de intervalo 11 1,611 1,630 1,6105 1,6305 1,6205 37 229 0,123333 0,763333 59,9585 59,9585 0,014898831
1,631 1,650 1,6305 1,6505 1,6405 46 275 0,153333 0,916667 75,463 75,463 0,073845538
1,651 1,670 1,6505 1,6705 1,6605 15 290 0,050000 0,966667 24,9075 #¡VALOR! 0,054120067
tamaño del intervalo 0,019 1,671 1,690 1,6705 1,6905 1,6805 6 296 0,020000 0,986667 10,083 1,983 0,038464027
ajuste del tamaño 0,001 1,691 1,710 1,6905 1,7105 1,7005 4 300 0,013333 1 6,802 293,198 0,040053351
tamaño f. de intervalo 0,02 480,13 #¡VALOR! 0,412398667
bien bien
bien bien
dato inicial l.i. 1,491 MEDIA A 1,6004
ajuste dato inicial 0 DESV MEDIA #¡VALOR!
dato inicial l.i. 1,491 VARIANZA 0,001374662
DESV E. 0,037076
x y
1,5005 0
1,5005 2 tv lsl usl
1,5205 2 1,5 1,35 1,65
1,5205 0 0 75
1,5205 5
1,5405 5
1,5405 0
1,5405 14
1,5605 14
1,5605 0
1,5605 38
1,5805 38
1,5805 0
1,5805 71
1,6005 71
1,6005 0
3 1,7117 76 0 1,7117 1,6005 62
2 1,6746 76 0 1,6746 1,6205 62
1 1,6375 76 0 1,6375 1,6205 0
media 1,6004 76 0 1,6004 1,6205 37
1 1,5634 76 0 1,5634 1,6405 37
2 1,5263 76 0 1,5263 1,6405 0
3 1,4892 76 0 1,4892 1,6405 46
1,6605 46
1,6605 0
1,6605 15
1,45 1,5
1,6805
1,55
15 1,6 1,65 1,7 1,75
1,6805 0
1,6805 6
1,7005 6
1,7005 0

3. Me= li + A ( N - FI-1 )
2 Q1= N
FI 4
Me= 1,5705 + 0,0200 ( 300 - 59 )
2 Q1= 300
71 4
Me= 1,5705 + 0,0200 ( 150 - 59 ) Q1= 75 = 1,5605
71
Me= 1,5705 + 0,0200 ( 91 ) Q3= 3 ( N )
71 4
Q3= 3 ( 300 )
Me= 1,5705 + 0,0200 ( 1,2817 ) 4
Q3= 3 ( 75 )
Me= 1,5705 + 0,025633803
Q3= 225 = 1,6205
Me= 1,5961
1,491 10 1,491 20
1,701 10 1,701 20
1,5961 5 1,596 25
1,5605 10 1,5605 20
1,6205 10 1,5605 20
1,491 15 1,701 15
1,5605 10 1,6205 10
1,5605 20 1,6205 20

4. HISTOGRAMA
80
70
60
50
40
30
20
10
0
0 0,2 0,4 0,6 0,8 1 1,2 1,4 1,6 1,8