histograma 500 datos ejercicio 9

1. HISTOGRAMA

2. Interpretación
FRECUENCIA,MODA,MEDIA,VARIANZA,
DESVIACION ESTANDAR
GRAFICA DE PASTEL.

3. Tabla de datos
8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1 2.763 2.778 2.785 2.797 2.815 2.793 2.798 2.780 2.810 2.802 2.752 2.822 2.818 2.777 2.860 2.826 2.808 2.817 2.804 2.833
2 2.795 2.799 2.797 2.767 2.781 2.827 2.799 2.797 2.829 2.785 2.791 2.756 2.814 2.781 2.795 2.802 2.794 2.763 2.769 2.809
3 2.792 2.819 2.824 2.840 2.814 2.815 2.800 2.831 2.800 2.809 2.801 2.816 2.814 2.811 2.827 2.783 2.806 2.806 2.779 2.765
4 2.808 2.801 2.821 2.779 2.804 2.812 2.805 2.854 2.792 2.779 2.823 2.823 2.799 2.843 2.781 2.825 2.778 2.788 2.782 2.815
5 2.770 2.793 2.830 2.749 2.783 2.787 2.772 2.781 2.810 2.808 2.803 2.806 2.823 2.779 2.828 2.773 2.827 2.813 2.783 2.804
6 2.838 2.803 2.848 2.785 2.803 2.798 2.802 2.756 2.735 2.774 2.811 2.765 2.827 2.785 2.815 2.769 2.797 2.795 2.795 2.760
7 2.802 2.823 2.838 2.764 2.775 2.774 2.825 2.776 2.800 2.777 2.792 2.799 2.810 2.800 2.820 2.803 2.793 2.813 2.820 2.836
8 2.833 2.773 2.779 2.800 2.881 2.841 2.823 2.798 2.837 2.820 2.792 2.825 2.833 2.835 2.822 2.826 2.832 2.781 2.794 2.795
9 2.820 2.814 2.780 2.795 2.776 2.790 2.854 2.843 2.790 2.805 2.818 2.820 2.808 2.796 2.863 2.802 2.789 2.782 2.797 2.775
10 2.807 2.807 2.826 2.783 2.806 2.820 2.773 2.779 2.754 2.781 2.776 2.775 2.818 2.802 2.791 2.819 2.826 2.839 2.788 2.828
11 2.822 2.807 2.808 2.786 2.820 2.788 2.806 2.811 2.768 2.764 2.782 2.788 2.808 2.842 2.800 2.760 2.826 2.842 2.797 2.820
12 2.792 2.782 2.809 2.800 2.808 2.749 2.796 2.843 2.861 2.831 2.806 2.777 2.799 2.741 2.804 2.839 2.800 2.768 2.774 2.785
13 2.802 2.789 2.834 2.770 2.762 2.795 2.797 2.793 2.820 2.790 2.807 2.765 2.790 2.734 2.816 2.806 2.780 2.814 2.838 2.846
14 2.815 2.792 2.840 2.766 2.805 2.780 2.819 2.794 2.778 2.802 2.788 2.816 2.848 2.785 2.777 2.798 2.745 2.740 2.799 2.831
15 2.795 2.824 2.814 2.802 2.797 2.770 2.795 2.770 2.828 2.788 2.803 2.823 2.781 2.822 2.766 2.818 2.778 2.793 2.832 2.861
16 2.811 2.774 2.823 2.769 2.817 2.789 2.746 2.836 2.823 2.817 2.801 2.809 2.784 2.792 2.796 2.789 2.757 2.828 2.790 2.795
17 2.762 2.806 2.773 2.794 2.810 2.823 2.805 2.789 2.788 2.845 2.801 2.775 2.815 2.839 2.812 2.831 2.780 2.791 2.761 2.789
18 2.795 2.781 2.836 2.793 2.794 2.775 2.760 2.767 2.840 2.779 2.774 2.770 2.817 2.790 2.777 2.825 2.796 2.790 2.847 2.783
19 2.799 2.785 2.801 2.803 2.819 2.798 2.790 2.842 2.799 2.779 2.785 2.797 2.766 2.820 2.825 2.792 2.812 2.788 2.792 2.827
20 2.798 2.815 2.787 2.782 2.808 2.803 2.843 2.794 2.785 2.775 2.795 2.811 2.787 2.803 2.802 2.813 2.842 2.834 2.809 2.789
21 2.832 2.806 2.763 2.836 2.784 2.817 2.791 2.785 2.803 2.807 2.799 2.806 2.820 2.802 2.786 2.745 2.792 2.797 2.807 2.816
22 2.807 2.815 2.832 2.813 2.814 2.786 2.778 2.808 2.801 2.790 2.784 2.773 2.813 2.790 2.772 2.792 2.808 2.805 2.792 2.835
23 2.758 2.797 2.828 2.831 2.812 2.805 2.797 2.789 2.770 2.766 2.779 2.795 2.818 2.810 2.827 2.792 2.789 2.800 2.816 2.811
24 2.812 2.798 2.775 2.817 2.796 2.785 2.874 2.806 2.795 2.764 2.764 2.795 2.781 2.805 2.828 2.812 2.757 2.786 2.798 2.834
25 2.827 2.798 2.822 2.797 2.813 2.817 2.770 2.784 2.782 2.824 2.791 2.805 2.825 2.818 2.791 2.787 2.776 2.788 2.825 2.814

4. VALORES Y FRECUENCIAS
VALUES AND FRECUENCY
Intervalos aparentes Intervalos reales Clase Frecuencias Tendencia central y Disperción
inferior superior inferior superior xi fi fia fr fra (fi)(xi) (xi-x)* fi (xi-x)^2*fi
1 2.734 2.752 2.7335 2.7525 2.7430 10 10 0.02 0.02 27.4300 0.57342 0.03288
2 2.753 2.771 2.7525 2.7715 2.7620 40 50 0.08 0.1 110.4800 1.53368 0.05880
3 2.772 2.790 2.7715 2.7905 2.7810 118 168 0.236 0.336 328.1580 2.282356 0.04414
4 2.791 2.809 2.7905 2.8095 2.8000 162 330 0.324 0.66 453.6000 0.055404 1.89482
5 2.810 2.828 2.8095 2.8285 2.8190 115 445 0.23 0.89 324.1850 2.14567 0.04003
6 2.829 2.847 2.8285 2.8475 2.8380 45 490 0.09 0.98 127.7100 1.69461 0.06381
7 2.848 2.866 2.8475 2.8665 2.8570 8 498 0.016 0.996 22.8560 0.453264 0.025681
8 2.867 2.885 2.8665 2.8855 2.8760 2 500 0.004 1 5.7520 0.151316 0.01144
9 2.886 2.904 2.8855 2.9045 2.8950 0 500 0 1 0.0000 0 0
Maximo 2.881 Totales = 1400.1710 8.88972 0.27682
Minimo 2.734 Media aritmética = 2.80034
Desviación media = 0.01777
Rango 0.147
Intervalos 9
Varianza = 0.00055
Desviación estándar = 0.02352
Tam. de inter 0.0163333
Inter. Ajus. 0.019

5. MEDIA ARITMETICA Y DESVIACION ESTANDAR
(Arithmetic mean and estándar desviation)
X Y
2.7335 0
Media aritmética 2.7335 10
2.8003 0 2.7525 10
2.7525 0
2.8003 180 2.7525 40
2.7715 40
2.7715 0
Media aritmética + 1 s Media aritmética - 1 s 2.7715 118
2.7905 118
2.8238 0 2.7768 0 2.7905 0
2.7905 162
2.8238 180 2.7768 180 2.8095 162
2.8095 0
2.8095 115
Media aritmética + 2 s Media aritmética - 2 s 2.8285 115
2.8285 0
2.8474 0 2.7532 0 2.8285 45
2.8474 180 2.7532 180 2.8475 45
2.8475 0
2.8475 8
2.8665 8
Media aritmética + 3 s Media aritmética - 3 s 2.8665 0
2.8709 0 2.7297 0 2.8665 2
2.8855 2
2.8709 180 2.7297 180 2.8855 0
2.8855 0
2.9045 0
2.9045 0

6. Histograma
200
150
100
50
0
2.72 2.74 2.76 2.78 2.8 2.82 2.84 2.86 2.88 2.9 2.92
-50

7. Grafica de pastel %
Gráfico de pastel
0%
2% 0%
9% 2% 8%
23% 24%
32%

8. UTT
CONTRO ESTADISTICO DEL PROCESO
UNIVERSIDAD TECNOLOGICA DE
TORREON
PROFESOR:LIC.EDGAR MATA
ORTIZ
ALUMNO:ROBERTO OSWALDO NAVA
MARTINEZ
GRUPO: 4° A NOCTURNO