1.629   1.496   1.576   1.612   1.638   1.622   1.587   1.559   1.587   1.588   1.620   1.611   1.566   1.581   1.662   1....
numero de datos   300                        maximo                        1.731                datos aparentes           ...
datos reales  marcas de clase      fi   fai  fr        frai          media     desv media      varianza         1.4955 1.5...
Me=    li      +         A          (          N          -   FI-1 )                                                      ...
frecuencia relativa                                                                                                       ...
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  1. 1. 1.629 1.496 1.576 1.612 1.638 1.622 1.587 1.559 1.587 1.588 1.620 1.611 1.566 1.581 1.662 1.679 1.586 1.525 1.630 1.597 1.537 1.622 1.639 1.551 1.610 1.601 1.528 1.544 1.622 1.6131.576 1.671 1.630 1.631 1.641 1.545 1.558 1.615 1.605 1.558 1.602 1.572 1.569 1.617 1.636 1.619 1.602 1.641 1.590 1.624 1.699 1.590 1.651 1.587 1.637 1.636 1.567 1.629 1.548 1.5941.606 1.512 1.582 1.584 1.674 1.585 1.654 1.622 1.595 1.637 1.575 1.580 1.617 1.592 1.645 1.639 1.578 1.534 1.581 1.580 1.621 1.569 1.583 1.615 1.605 1.636 1.568 1.620 1.656 1.5601.585 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 1.640 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 1.5981.605 1.539 1.570 1.558 1.558 1.572 1.577 1.617 1.543 1.611 1.612 1.618 1.568 1.568 1.675 1.566 1.724 1.568 1.614 1.530 1.615 1.629 1.611 1.581 1.547 1.649 1.514 1.593 1.591 1.5951.655 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 1.586 1.534 1.600 1.631 1.576 1.593 1.680 1.599 1.574 1.599 1.669 1.590 1.500 1.527 1.648 1.6291.580 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 1.510 1.583 1.620 1.547 1.543 1.519 1.580 1.580 1.668 1.633 1.555 1.616 1.594 1.659 1.695 1.5911.731 1.604 1.587 1.499 1.683 1.597 1.624 1.598 1.578 1.621 1.630 1.649 1.666 1.595 1.608 1.612 1.629 1.599 1.680 1.565 1.548 1.599 1.584 1.588 1.578 1.614 1.646 1.583 1.523 1.6291.639 1.585 1.593 1.645 1.609 1.663 1.650 1.590 1.590 1.604 1.590 1.629 1.562 1.635 1.614 1.523 1.656 1.640 1.616 1.565 1.605 1.578 1.528 1.601 1.658 1.681 1.573 1.641 1.634 1.5701.599 1.663 1.619 1.650 1.580 1.643 1.510 1.573 1.600 1.520 1.580 1.708 1.624 1.651 1.523 1.596 1.615 1.553 1.587 1.641 1.531 1.665 1.637 1.576 1.600 1.510 1.533 1.623 1.543 1.611 dato inicial l.i. ajuste dato inicial dato inicial l.i. 3 2 1 media 1 2 3
  2. 2. numero de datos 300 maximo 1.731 datos aparentes minimo 1.496 1.496 1.517 1.518 1.539 rango 0.235 1.540 1.561 1.562 1.583 intervalo 17 0.001 1.584 1.605 0.0005 ajuste de intervalo -6 1.606 1.627 numero f. de intervalo 11 1.628 1.649 1.650 1.671 1.672 1.693 tamaño del intervalo 0.021 1.694 1.715 ajuste del tamaño 0.001 1.716 1.737 tamaño f. de intervalo 0.022 bien bien bien bien dato inicial l.i. 1.496 ajuste dato inicial 0 dato inicial l.i. 1.496 x 1.5065 1.5065 1.5285 1.5285 1.5285 1.5505 1.5505 1.5505 1.5725 1.5725 1.5725 1.5945 1.5945 1.5945 1.6165 1.6165 3 1.7292 73 0 1.7292 1.6165 2 1.6864 73 0 1.6864 1.6385 1 1.6435 73 0 1.6435 1.6385 media 1.6006 73 0 1.6006 1.6385 1 1.5577 73 0 1.5577 1.6605 2 1.5148 73 0 1.5148 1.6605 3 1.4719 73 0 1.4719 1.6605 1.6825 1.6825 1.6825 1.7045 1.7045 1.7045 1.7265 1.7265
  3. 3. datos reales marcas de clase fi fai fr frai media desv media varianza 1.4955 1.5175 1.5065 9 9 0.030000 0.030000 13.5585 0.84678 0.079670708 1.5175 1.5395 1.5285 17 26 0.056667 0.086667 25.9845 25.9845 0.088340288 1.5395 1.5615 1.5505 24 50 0.080000 0.166667 37.212 37.212 0.06020818 1.5615 1.5835 1.5725 51 101 0.170000 0.336667 80.1975 80.1975 0.040231903 1.5835 1.6055 1.5945 68 169 0.226667 0.563333 108.426 108.426 0.002519231 1.6055 1.6275 1.6165 49 218 0.163333 0.726667 79.2085 79.2085 0.012408475 1.6275 1.6495 1.6385 47 265 0.156667 0.883333 77.0095 77.0095 0.06755878 1.6495 1.6715 1.6605 22 287 0.073333 0.956667 36.531 36.531 0.078971365 1.6715 1.6935 1.6825 7 294 0.023333 0.980000 11.7775 0.573393333 0.046968559 1.6935 1.7155 1.7045 4 298 0.013333 0.993333 6.818 1.418 0.043191923 1.7155 1.7375 1.7265 2 300 0.006667 1 3.453 146.547 0.031708335 480.176 593.95417 0.551777747 MEDIA A 1.6006 DESV MEDIA 1.979847244 VARIANZA 0.001839259 DESV E. 0.042887y 0 9 tv lsl usl 9 1.5 1.35 1.65 0 0 75 17 17 0 24 24 0 51 51 0 68 68 0 49 49 0 47 47 0 22 22 0 7 7 0 4 4 0
  4. 4. Me= li + A ( N - FI-1 ) 2 Q1= N FI 4 Me= 1.5835 + 0.0220 ( 300 - 101 ) 2 Q1= 300 68 4 Me= 1.5835 + 0.0220 ( 150 - 101 ) Q1= 75 = 1.5725 68 Me= 1.5835 + 0.0220 ( 49 ) Q3= 3( N ) 68 4 Q3= 3( 300 ) Me= 1.5835 + 0.0220 ( 0.7206 ) 4 Q3= 3( 75 ) Me= 1.5835 + 0.015852941 Q3= 225 = 1.6385 Me= 1.5994 1.496 10 1.496 20 1.731 10 1.731 20 1.5994 5 1.599 25 1.5725 10 1.5725 20 1.6385 10 1.5725 20 1.496 15 1.731 15 1.5725 10 1.6385 10 1.5725 20 1.6385 201.45 1.5 1.55 1.6 1.65 1.7 1.75 frecuencias acumuladas 350 300 250 200 frecuencias acumuladas 150 100 50 0 1 2 3 4 5 6 7 8 9 10 11
  5. 5. frecuencia relativa 1 2 3 4 5 6 7 8 frecuencias relativas acumuladas 1.200000 1.000000 0.800000 0.600000 frecuencias relativas acumuladas 0.400000 0.200000 0.000000 1 2 3 4 5 6 7 8 9 10 11 frecuencias absolutas8070605040 frecuencias absolutas3020100 1 2 3 4 5 6 7 8 9 10 11 HISTOGRAMA 80 70 60 50 40 30 20 10 0 1.45 1.5 1.55 1.6 1.65 1.7 1.75

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