Posición Xi (Xi-X�)1 58 -21.4 457.96

CLASE L.I. L.S. L.I.E. L.S.E. Mc2 59 -20.4 416.163 62 -17.4 302.76 A 50 59 49.5 59.5 54.54 62 -17.4 302.76 B 60 69 59.5 69.5 64.55 63 -16.4 268.96 C 70 79 69.5 79.5 74.56 63 -16.4 268.96 D 80 89 79.5 89.5 84.57 65 -14.4 207.36 E 90 99 89.5 99.5 94.58 65 -14.4 207.36 F 100 109 99.5 109.5 104.59 65 -14.4 207.36 ∑:

10 66 -13.4 179.5611 66 -13.4 179.5612 69 -10.4 108.16

CLASE L.I. L.S. L.I.E. L.S.E. Mc13 71 -8.4 70.560000000000114 72 -7.4 54.7600000000001 A 58 63 57.5 63.5 60.515 72 -7.4 54.7600000000001 B 64 69 63.5 69.5 66.516 73 -6.4 40.9600000000001 C 70 75 69.5 75.5 72.517 74 -5.4 29.1600000000001 D 76 81 75.5 81.5 78.518 74 -5.4 29.1600000000001 E 82 87 81.5 87.5 84.519 75 -4.4 19.3600000000001 F 88 93 87.5 93.5 90.520 76 -3.4 11.56 G 94 99 93.5 99.5 96.52 76 -3.4 11.56 H 100 105 99.5 105.5 102.5

22 77 -2.4 5.76000000000003 ∑:23 78 -1.4 1.9600000000000224 78 -1.4 1.96000000000002 U.V: 125 80 0.6 0.359999999999993 No. Clase 7.0710678 ≈ 826 81 1.6 2.55999999999998 tamaño inter. 5.25 ≈ 627 81 1.6 2.5599999999999828 82 2.6 6.7599999999999729 82 2.6 6.7599999999999730 82 2.6 6.7599999999999731 83 3.6 12.96

(Xi-X�)2

32 84 4.6 21.159999999999933 84 4.6 21.159999999999934 85 5.6 31.359999999999935 85 5.6 31.359999999999936 86 6.6 43.559999999999937 87 7.6 57.759999999999938 88 8.6 73.959999999999939 88 8.6 73.959999999999940 90 10.6 112.3641 91 11.6 134.5642 92 12.6 158.7643 94 14.6 213.1644 96 16.6 275.5645 96 16.6 275.5646 97 17.6 309.7647 98 18.6 345.9648 99 19.6 384.1649 100 20.6 424.3650 100 20.6 424.36

∑: 3970 6890

TOTAL DATOS POS. DE MEDIANA MEDIANA50 79.4 25.5 80.5

MODA DESVIACIÓN EST. RANGO65 y 82 137.8 11.7388244726634 42

MEDIA X̅1

VARIANZA ʃ2 √ 2ʃ

fr fa FRproporción %

2 2 0.17 17.037481110 12 0.85 85.187405512 24 1.02 102.22488715 39 1.28 127.7811089 48 0.77 76.66866492 50 0.17 17.0374811

50

fr fa FRproporción %

6 6 0.12 126 12 0.12 127 19 0.14 148 27 0.16 16

10 37 0.20 205 42 0.10 106 48 0.12 122 50 0.04 4

50

Posición Xi (Xi-X�)1 32.1 -2.698 7.2822 32.5 -2.298 5.283

CLASE L.I. L.S.3 32.6 -2.198 4.8334 32.7 -2.098 4.4035 32.8 -1.998 3.9946 32.9 -1.898 3.6047 33.1 -1.698 2.8858 33.1 -1.698 2.8859 33.4 -1.398 1.956

10 33.5 -1.298 1.68611 33.6 -1.198 1.43612 33.6 -1.198 1.43613 33.6 -1.198 1.43614 33.6 -1.198 1.436 U.V: 0.115 33.6 -1.198 1.436 No. Clase16 33.8 -0.998 0.997 tamaño inter.17 33.8 -0.998 0.99718 34 -0.798 0.63819 34.1 -0.698 0.48820 34.1 -0.698 0.48821 34.1 -0.698 0.48822 34.2 -0.598 0.35823 34.2 -0.598 0.35824 34.3 -0.498 0.24825 34.5 -0.298 0.08926 34.5 -0.298 0.08927 34.6 -0.198 0.03928 34.6 -0.198 0.03929 34.6 -0.198 0.03930 34.6 -0.198 0.03931 34.6 -0.198 0.03932 34.7 -0.098 0.01033 34.7 -0.098 0.01034 34.7 -0.098 0.01035 34.7 -0.098 0.01036 34.7 -0.098 0.01037 34.7 -0.098 0.01038 34.9 0.102 0.01039 35 0.202 0.04140 35 0.202 0.04141 35.1 0.302 0.09142 35.1 0.302 0.09143 35.1 0.302 0.09144 35.2 0.402 0.161

(Xi-X�)2

45 35.3 0.502 0.25246 35.4 0.602 0.36247 35.4 0.602 0.36248 35.5 0.702 0.49249 35.6 0.802 0.64350 35.7 0.902 0.81351 35.8 1.002 1.00352 35.9 1.102 1.21353 36.2 1.402 1.96454 36.3 1.502 2.25555 36.4 1.602 2.56556 36.6 1.802 3.24657 36.8 2.002 4.00658 36.8 2.002 4.00659 36.8 2.002 4.00660 37.1 2.302 5.29761 37.3 2.502 6.25862 37.6 2.802 7.84963 37.8 3.002 9.00964 37.9 3.102 9.620

∑: 2227.1 117.230

TOTAL DATOS POS. DE MEDIANA MEDIANA64 34.80 32.5 34.7

MODA DESVIACIÓN EST. RANGO1.832 1.353 5.8

MEDIA X̅1

VARIANZA ʃ2 √ 2ʃ

L.I.E. L.S.E. Mc fr fa FRproporción %

32.132.6 32.532.9 32.633.1 32.733.1 32.833.5 32.933.6 33.133.6 33.133.6 33.433.8 33.534 33.6

34.1 33.634.2 33.634.5 33.634.6 33.634.6 33.834.7 33.834.7 3434.7 34.135 34.1

35.1 34.135.1 34.235.3 34.235.4 34.335.4 34.535.6 34.535.9 34.636.2 34.636.3 34.636.6 34.636.8 34.637.1 34.737.8 34.733.8 34.734.2 34.733.4 34.734.7 34.734.6 34.935.2 3535 35

34.9 35.135.8 35.137.6 35.137.3 35.234.6 35.335.5 35.432.8 35.432.1 35.5

34.5 35.634.7 35.733.6 35.832.5 35.934.1 36.235.1 36.336.8 36.437.9 36.636.4 36.834.6 36.833.6 36.834.1 37.134.7 37.335.7 37.636.8 37.834.3 37.932.7