2. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1 2.813 2.784 2.807 2.810 2.787 2.846 2.794 2.761 2.823 2.761 2.796 2.824 2.771 2.815 2.789 2.826 2.781 2.817 2.759 2.823
2 2.833 2.793 2.813 2.801 2.802 2.803 2.748 2.818 2.814 2.783 2.838 2.802 2.801 2.814 2.789 2.781 2.766 2.826 2.804 2.795
3 2.783 2.790 2.862 2.816 2.765 2.796 2.829 2.840 2.793 2.779 2.804 2.806 2.796 2.792 2.800 2.759 2.775 2.812 2.776 2.813
4 2.817 2.800 2.813 2.808 2.785 2.805 2.805 2.791 2.827 2.818 2.808 2.790 2.818 2.808 2.801 2.764 2.839 2.807 2.829 2.798
5 2.802 2.789 2.793 2.769 2.830 2.805 2.784 2.779 2.800 2.799 2.850 2.783 2.836 2.766 2.769 2.836 2.775 2.810 2.798 2.797
6 2.795 2.770 2.764 2.773 2.813 2.829 2.768 2.797 2.761 2.774 2.755 2.797 2.777 2.793 2.843 2.778 2.753 2.779 2.828 2.839
7 2.797 2.794 2.810 2.797 2.803 2.801 2.786 2.781 2.840 2.826 2.810 2.816 2.813 2.833 2.788 2.805 2.797 2.800 2.772 2.796
8 2.789 2.803 2.797 2.766 2.801 2.796 2.764 2.826 2.765 2.795 2.837 2.821 2.828 2.773 2.804 2.788 2.814 2.800 2.746 2.785
9 2.825 2.752 2.808 2.827 2.812 2.795 2.800 2.792 2.875 2.786 2.818 2.804 2.776 2.798 2.759 2.828 2.821 2.785 2.825 2.776
10 2.865 2.760 2.804 2.789 2.805 2.771 2.794 2.825 2.820 2.809 2.768 2.823 2.860 2.781 2.791 2.785 2.801 2.845 2.791 2.833
11 2.815 2.781 2.827 2.755 2.828 2.800 2.817 2.793 2.797 2.766 2.800 2.846 2.820 2.813 2.794 2.802 2.836 2.820 2.796 2.789
12 2.785 2.789 2.785 2.768 2.829 2.750 2.774 2.777 2.795 2.789 2.803 2.803 2.773 2.812 2.792 2.848 2.795 2.786 2.782 2.798
13 2.771 2.807 2.795 2.788 2.774 2.840 2.828 2.806 2.789 2.779 2.830 2.817 2.757 2.771 2.815 2.797 2.817 2.836 2.793 2.788
14 2.755 2.772 2.809 2.790 2.810 2.812 2.802 2.821 2.765 2.818 2.834 2.805 2.825 2.788 2.802 2.807 2.760 2.811 2.821 2.774
15 2.809 2.795 2.773 2.778 2.797 2.757 2.796 2.774 2.803 2.759 2.797 2.767 2.766 2.836 2.790 2.795 2.772 2.808 2.782 2.803
16 2.848 2.780 2.797 2.789 2.830 2.779 2.805 2.811 2.810 2.818 2.751 2.802 2.818 2.747 2.799 2.817 2.809 2.840 2.771 2.798
17 2.782 2.786 2.826 2.830 2.793 2.795 2.807 2.774 2.818 2.795 2.849 2.840 2.808 2.766 2.754 2.757 2.790 2.815 2.787 2.795
18 2.790 2.834 2.808 2.829 2.764 2.852 2.801 2.803 2.808 2.790 2.780 2.821 2.777 2.810 2.819 2.779 2.792 2.814 2.826 2.779
19 2.838 2.788 2.773 2.785 2.781 2.823 2.852 2.787 2.802 2.809 2.795 2.787 2.832 2.768 2.797 2.823 2.801 2.814 2.817 2.777
20 2.849 2.821 2.825 2.793 2.769 2.823 2.816 2.817 2.789 2.836 2.807 2.789 2.792 2.806 2.823 2.790 2.766 2.788 2.783 2.820
21 2.781 2.824 2.785 2.802 2.785 2.802 2.806 2.796 2.774 2.782 2.795 2.774 2.844 2.805 2.771 2.746 2.818 2.804 2.787 2.801
22 2.741 2.808 2.794 2.814 2.813 2.768 2.796 2.756 2.817 2.790 2.795 2.748 2.811 2.795 2.802 2.817 2.780 2.816 2.892 2.791
23 2.832 2.778 2.752 2.771 2.770 2.797 2.807 2.789 2.861 2.814 2.774 2.845 2.804 2.794 2.827 2.774 2.752 2.802 2.789 2.819
24 2.768 2.815 2.821 2.820 2.746 2.809 2.810 2.802 2.806 2.803 2.802 2.782 2.808 2.787 2.793 2.780 2.817 2.811 2.796 2.792
25 2.807 2.811 2.774 2.753 2.788 2.806 2.816 2.769 2.802 2.791 2.782 2.768 2.804 2.835 2.783 2.810 2.774 2.823 2.814 2.792

3. Máximo
2.892
Mínimo
2.741
Rango
0.151
Numero de
intervalos
0.010

4. Marca
de
Inferior Superior Inferior Superior Clase fi fia fr fra (fi)(xi) |Xi-Xm|Fi |Xi-Xm|^2Fi
2.741 2.751 2.7405 2.7515 2.746 9 9 0.018 0.018 24.714 0.478170 0.008468
2.752 2.762 2.7515 2.7625 2.757 22 31 0.044 0.062 60.654 0.926860 0.005325
2.763 2.773 2.7625 2.7735 2.768 43 74 0.086 0.148 119.024 1.338590 0.002907
2.774 2.784 2.7735 2.7845 2.779 55 129 0.11 0.258 152.845 1.107150 0.001216
2.785 2.795 2.7845 2.7955 2.79 93 222 0.186 0.444 259.470 0.849090 0.000250
2.796 2.806 2.7955 2.8065 2.801 94 316 0.188 0.632 263.294 0.175780 0.000010
2.807 2.817 2.8065 2.8175 2.812 79 395 0.158 0.790 222.148 1.016730 0.000497
2.818 2.828 2.8175 2.8285 2.823 53 448 0.106 0.896 149.619 1.265110 0.001709
2.829 2.839 2.8285 2.8395 2.834 28 476 0.056 0.952 79.352 0.976360 0.003648
2.840 2.850 2.8395 2.8505 2.845 16 492 0.032 0.984 45.520 0.733920 0.006312
2.851 2.861 2.8505 2.8615 2.856 4 496 0.008 0.992 11.424 0.227480 0.009703
2.862 2.872 2.8615 2.8725 2.867 2 498 0.004 0.996 5.734 0.135740 0.013819
2.873 2.883 2.8725 2.8835 2.878 1 499 0.002 0.998 2.878 0.078870 0.018661
2.884 2.894 2.8835 2.8945 2.889 1 500 0.002 1 2.889 0.089870 0.024230
Suma 1399.565 9.399720 0.096756
Media Aritmética 2.799130
Desviación
Mediana Media 0.018799
2.798 Moda Varianza 0.0001935
Desviación
2.795 Std 0.0139108

5. Media
2.799 0
2.799 99
Media - Desviación Std
2.785 0
2.785 99
Media + Desviación Std
2.813 0
2.813 99
Media -2 Desviación Std Desviación 2 Desviación 3 Desviación
2.771 0 STD Std Std
2.771 99
0.014 0.028 0.042
Media +2 Desviación Std
2.827 0
2.827 99
Media +3 Desviación Std
2.841 0
2.841 99
Media -3 Desviación Std
2.757 0
2.757 99

6. 2.7405 0
2.7405 9 2.8285 0
2.7515 9 2.8285 28
2.7515 0 2.8395 28
2.7515 22 2.8395 0
2.7625 22 2.8395 16
2.7625 0 2.8505 16
2.7625 43 2.8505 0
2.7735 43 2.8505 4
2.7735 0 2.8615 4
2.7735 55
2.8615 0
2.7845 55
2.8615 2
2.7845 0
2.7845 93
2.8725 2
2.7955 93 2.8725 0
2.7955 0 2.8725 1
2.7955 94 2.8835 1
2.8065 94 2.8835 0
2.8065 0 2.8835 1
2.8065 79 2.8945 1
2.8175 79 2.8945 0
2.8175 0
2.8175 53
2.8285 53

7. Grafica
Media
100
93 94
Media +3 Desviacion Std
Media -3 Desviacion Std Media - DesviacionMedia + Desviacion Std
Std
79
80 Media -2 Desviacion Std Media +2 Desviacion Std
60
55
53
43
40
28
22
20 16
9
4
2 1 1
0
2.73 2.75 2.77 2.79 2.81 2.83 2.85 2.87 2.89