In Box 11.1, we have introduced weighted statistics for the empirical mean, standard deviations, and the percentiles

Question:

In Box 11.1, we have introduced weighted statistics for the empirical mean, standard deviations, and the percentiles of a data set. Show that by setting all weights to 1, the formulae for the mean, the standard deviation, and the percentiles for the unweighted case are obtained.

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