100%(2)2 out of 2 people found this document helpful
This preview shows page 1 out of 1 page.
Transformations ExerciseCMSC320Consider data for variablex=x1, x2, . . . , xn. We usexto denote the sample mean ofx, andsxis thesample standard deviation ofx.Part IFor each of the following three transformations derive (a) the sample meanz, and (b) the sample standarddeviationsz.1. Centeringzi= (xi-x)2. Scalingzi=xisx3. Centering and scaling (standardizing)zi=(xi-x)sxPart II4.Consider transformationzi= logxi. Show that the sample meanzequals the logarithm of the