5. Find out why standard deviation is preferable to range
As we have seen, a sample does not represent reality, and it is unlikely to find the limit values of a phenomenon in a sample. On the other hand, the few data present in a sample make it possible to estimate a value for the standard deviation of the parent population and, consequently, to envisage an estimation of an interval covering the majority of values, particularly when the law of the phenomenon is normal.
To convince yourself of this property, use Standard deviation versus range (Tool ...
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Find out why standard deviation is preferable to range
Bibliography
Statistique théorique et appliquée , 2nd edition, Dagnelie P, De Bœck Université, 2007
Introductory Statistics with R , Dalgaardp, Springer, 2008
Statistics, theory and applications , Springer, 2004
Applied Statistices and Probability for Engineers , 4th edition, Montgomery D.C & Runger G.C, Whiley,...
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