The relation between the median M,the second | vedclass

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Question

(A) The median divides a data set into two equal parts,representing the $50^{th}$ percentile.Similarly,the second quartile ${Q_2}$ divides the data in

Vedclass · Accepted Answer

$M = {Q_2} = {D_5} = {P_{50}}$

Vedclass · Answer

(A) The median divides a data set into two equal parts,representing the $50^{th}$ percentile.Similarly,the second quartile ${Q_2}$ divides the data into two halves,the fifth decile ${D_5}$ represents the $50\%$ mark of the data,and the $50^{th}$ percentile ${P_{50}}$ is by definition the value below which $50\%$ of the observations fall.Therefore,all these measures are equivalent: $M = {Q_2} = {D_5} = {P_{50}}$.

The relation between the median $M$,the second quartile ${Q_2}$,the fifth decile ${D_5}$,and the $50^{th}$ percentile ${P_{50}}$ of a set of observations is:

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