This document discusses control limits based on the mean and standard deviation of a data set. It provides the raw data values in a table, with the mean, standard deviation and re-mean calculated. A graph is included showing the arithmetic means over the data range.

1. Limites de Control
SPC

2. Introduccion.
 Ejercicio, utilizando limites de
control, basados en la media y la
desviacion estandar, asi como tambien la
media de estos mismos datos.

3. 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 Recontramedia
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 0.000 25.000
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 2.799 2.799
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
Media 2.804 2.793 2.801 2.793 2.795 2.802 2.800 2.795 2.806 2.795 2.803 2.802 2.805 2.796 2.796 2.796 2.792 2.811 2.799 2.799 2.799
Desviacion Std 0.0317 #¡NUM! 0.0197 0.0293 #¡NUM! 0.0569 #¡NUM! #¡NUM! 0.0342 #¡NUM! #¡NUM! 0.0359 #¡NUM! 0.0312 #¡NUM! 0.0459 #¡NUM! 0.0126 #¡NUM! 0.0306
Datos.

4. 2.815
2.811
2.810
2.806
2.805 2.805
2.804 2.803
2.802 2.802 Media Aritmetica
2.801 Recontramedia
2.800 2.800
2.799 2.799
2.799 2.799
2.796
2.796
2.795 2.795 2.796
2.795 2.795
2.793 2.793
2.792
2.790
0 5 10 15 20 25 30
Grafica de las medias aritmeticas.